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Sharma R.D

Published by I. K. International Publishing House, New Delhi

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I. K. International Publishing House, New Delhi. N.A. Condition: New. Seller Inventory # 488093

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R.D Sharma

Published by I.K. International Publishing House Pvt. Ltd. (2011)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I.K. International Publishing House Pvt. Ltd., 2011. Paperback. Condition: New. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow. ? Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules, ? Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed, ? In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed, ? Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices, ? In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Seller Inventory # IK-9789380578866

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R.D Sharma

Published by I.K. International Publishing House Pvt. Ltd. (2011)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I.K. International Publishing House Pvt. Ltd., 2011. Paperback. Condition: New. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow. ò Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules, ò Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed, ò In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed, ò Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices, ò In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Seller Inventory # IK-9789380578866

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R.D. Sharma,Ritu Jain

Published by I.K. International Publishing House Pvt. Ltd (2011)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I.K. International Publishing House Pvt. Ltd, 2011. Softcover. Condition: New. 5th or later edition. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow. ? Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules. ? Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed. ? In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed. ? Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices. ? In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Contents: Priliminary Concept / Modules / Vector Spaces / Linear Transformations / Linear Transformations and Matrices / Determinants / Inner Product Spaces / Linear Operators on Inner Product Spaces / Unitary Spaces / Operators on Unitary Spaces / Bilinear and Quadratic Forms / Index. Printed Pages: 780. Seller Inventory # 84287

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R.D. Sharma,Ritu Jain

Published by I.K. International Publishing House Pvt. Ltd (2011)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I.K. International Publishing House Pvt. Ltd, 2011. Softcover. Condition: New. 5th or later edition. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow. ⢠Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules. ⢠Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed. ⢠In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed. ⢠Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices. ⢠In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Contents: Priliminary Concept / Modules / Vector Spaces / Linear Transformations / Linear Transformations and Matrices / Determinants / Inner Product Spaces / Linear Operators on Inner Product Spaces / Unitary Spaces / Operators on Unitary Spaces / Bilinear and Quadratic Forms / Index. Printed Pages: 780. Seller Inventory # 84287

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Sharma A.K.

Published by Discovery Publishing House

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House. Condition: New. pp. 308. Seller Inventory # 7628809

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2005)

ISBN 10: 8183560326 ISBN 13: 9788183560320

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About this Item: Discovery Publishing House Pvt. Ltd., 2005. Hardcover. Condition: New. Linear Programming has progressed a great deal during last two decades. It is becoming increasingly sophisticated with the availability of Computer facilities and infusion of new concepts. The text of this book has been presented in easy and simple language. Throughout the text, the two streams theory and technique run side by side. Each technique is preceded by the relevant theory followed by suitable examples. A large number of important problems mostly drawn from University examination papers has been included. Contents, 1. VECTORS AN Context (SIMPLEX METHOD) : Origin and Development, Requirements of Linear Programming, Scope of Linear Programming, Some Basic Concept an Matrical and Linear Algebra, Matrix, Special Types of Matrices, Submatrices of a Matrix, Equality of Two Matrices, Addition of Matrices, Properties of Matrix Addition, Multiplication of a Matrix by a Scalar, Multiplication of Two Matrices, Properties of Matrix Multiplication, Determinant of a Square Matrix, Non-Singular and Singular Matrices, Transpose of a Matrix, Adjoint or Adjugate of a Square Matrix, Invertible Matrices : Inverse or Reciprocal of a Matrix, Vectors, Linear Dependence and Linear Independence of Vectors, A Vector as a Linear Combination of Vectors, Systems of Linear Non-Homogeneous Equations, Condition For a System of n Equations in n Unknowns to Have a Unique Solution, Working Rule For Finding the Solution of the Equation AX = B, Some Useful Results of Linear Algebra, Linear Programming an Linear Programming Problem, Basic Requirements of a Linear Programming Problem (L.P.P.), Mathematical Description of a General Linear Programming Problem, Mathematical Formulation of a Linear Programming Problem, Slack and Surplus Variables, Formulation as a Linear Programming Problems, Some Important Definitions and Results, Solution of Simultaneous Linear Inequations, Graphical Method to Solve a Linear Programming Problem, Limitations of the Graphical Method, Applications of Linear Programming Technique, Limitations of Linear Programming, Advantages of Linear Programming, Basic Solution (B.S.). 2. VECTORS AND CONVEX SETS : Vectors, Linear Combination of Vectors, Definitions, Convex Sets and Their Properties, Convex Combination, Convex Set, Extreme Point of a Convex Set, Convex Hull, Convex Function, Convex Polyhedron, Some Important Theorems, Analytical Method. 3. SIMPLEX METHOD (THEORY AND APPLICATION) : Introduction, Some Definitions and Notations, Fundamental Theorem of Linear Programming, Reduction of Feasible Solution to Basic Feasible Solution, To Determine Improved B.F.S. from a Given B.F.S., Conditions for the Existence of Unbounded Solution, Condition for Improved Basic Feasible Solution to Become Optimal, Alternative Optimal Solutions, Inconsistency and Redundancy in Constraint Equations, To Determine Starting B.F.S., Computational Procedure Simplex Method, Artificial Variables Technique, Computational Procedure of Two Phase Method, L.P.P. Having Unbounded Solution, Solution of Simultaneous Linear Equations by Simplex Method, Inverse of a Matrix by Simplex Method, To Compute the Inverse of a Matrix Whose one Column is Different from that of a Matrix Whose Inverse is Known. Printed Pages: 224. Seller Inventory # 59097

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R.D. Sharma,Ritu Jain

Published by I.K. International Publishing House Pvt. Ltd (2011)

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About this Item: I.K. International Publishing House Pvt. Ltd, 2011. Softcover. Condition: New. 5th or later edition. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow. ⢠Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules. ⢠Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed. ⢠In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed. ⢠Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices. ⢠In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Contents: Priliminary Concept / Modules / Vector Spaces / Linear Transformations / Linear Transformations and Matrices / Determinants / Inner Product Spaces / Linear Operators on Inner Product Spaces / Unitary Spaces / Operators on Unitary Spaces / Bilinear and Quadratic Forms / Index. Printed Pages: 780. Seller Inventory # 84287

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2005)

ISBN 10: 8183560326 ISBN 13: 9788183560320

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About this Item: Discovery Publishing House Pvt. Ltd., 2005. Hardcover. Condition: New. Linear Programming has progressed a great deal during last two decades. It is becoming increasingly sophisticated with the availability of Computer facilities and infusion of new concepts. The text of this book has been presented in easy and simple language. Throughout the text, the two streams theory and technique run side by side. Each technique is preceded by the relevant theory followed by suitable examples. A large number of important problems mostly drawn from University examination papers has been included. Contents, 1. VECTORS AN Context (SIMPLEX METHOD) : Origin and Development, Requirements of Linear Programming, Scope of Linear Programming, Some Basic Concept an Matrical and Linear Algebra, Matrix, Special Types of Matrices, Submatrices of a Matrix, Equality of Two Matrices, Addition of Matrices, Properties of Matrix Addition, Multiplication of a Matrix by a Scalar, Multiplication of Two Matrices, Properties of Matrix Multiplication, Determinant of a Square Matrix, Non-Singular and Singular Matrices, Transpose of a Matrix, Adjoint or Adjugate of a Square Matrix, Invertible Matrices : Inverse or Reciprocal of a Matrix, Vectors, Linear Dependence and Linear Independence of Vectors, A Vector as a Linear Combination of Vectors, Systems of Linear Non-Homogeneous Equations, Condition For a System of n Equations in n Unknowns to Have a Unique Solution, Working Rule For Finding the Solution of the Equation AX = B, Some Useful Results of Linear Algebra, Linear Programming an Linear Programming Problem, Basic Requirements of a Linear Programming Problem (L.P.P.), Mathematical Description of a General Linear Programming Problem, Mathematical Formulation of a Linear Programming Problem, Slack and Surplus Variables, Formulation as a Linear Programming Problems, Some Important Definitions and Results, Solution of Simultaneous Linear Inequations, Graphical Method to Solve a Linear Programming Problem, Limitations of the Graphical Method, Applications of Linear Programming Technique, Limitations of Linear Programming, Advantages of Linear Programming, Basic Solution (B.S.). 2. VECTORS AND CONVEX SETS : Vectors, Linear Combination of Vectors, Definitions, Convex Sets and Their Properties, Convex Combination, Convex Set, Extreme Point of a Convex Set, Convex Hull, Convex Function, Convex Polyhedron, Some Important Theorems, Analytical Method. 3. SIMPLEX METHOD (THEORY AND APPLICATION) : Introduction, Some Definitions and Notations, Fundamental Theorem of Linear Programming, Reduction of Feasible Solution to Basic Feasible Solution, To Determine Improved B.F.S. from a Given B.F.S., Conditions for the Existence of Unbounded Solution, Condition for Improved Basic Feasible Solution to Become Optimal, Alternative Optimal Solutions, Inconsistency and Redundancy in Constraint Equations, To Determine Starting B.F.S., Computational Procedure Simplex Method, Artificial Variables Technique, Computational Procedure of Two Phase Method, L.P.P. Having Unbounded Solution, Solution of Simultaneous Linear Equations by Simplex Method, Inverse of a Matrix by Simplex Method, To Compute the Inverse of a Matrix Whose one Column is Different from that of a Matrix Whose Inverse is Known. Printed Pages: 224. Seller Inventory # 59097

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2010)

ISBN 10: 8171418880 ISBN 13: 9788171418886

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About this Item: Discovery Publishing House Pvt. Ltd., 2010. Hardcover. Condition: New. This Book "Modern Algebra" has been written for the students of honours and post graduate students of all Indian Universities. This book is also useful to the candidate of appearing in various competitions like pre-engineering/ I.A.S./P.C.S. etc. This book contain group, Rings, Vector Space etc. This book contains complete theory, Large number of solved examples. At the end of each chapter exercise containing large number of unsolved questions are given. Contents, 1. Rings : Introduction, Various Type of Ring, Elementary Properties of a Ring, Integral Multiples of the Elements of a Ring, Some Special Types of Rings, Rings with or without Zero Divisors, Cancellation Laws in a Ring, Integral Domain, Fields, Division, Rings, Integral, Domain, Division Ring or Skew Field, Field, Relation of Isomorphism in the Set of all Rings, Properties of Isomorphism of Rings, Transference of Ring Structure, Smallest Subring Containing a Given Subset of a Ring, Subfields, Characteristic of a Ring, Characteristic of Field, Ordered Integral Domains, Ideals, Smallest Left Ideal Containing a Given Subset 2. VECTOR SPACE : Introduction, Elementary Basic Concept, General Properties of Vector Spaces, Vector Subspaces, Algebra of Subspace, Linear Combination of Vectors : Linear Span of a Set, Linear Sum of Two Subspaces, Linear Dependence and Linear Independence of Vectors, Some Theorems of Linear Dependence and Linear Independence, Basis of Vector Space, Finite Dimensional Vector Space, Some Properties of Finite Dimensional Vector Spaces, Homomorphism of Vector Spaces or Linear Transformations, Isomorphism of Vector Space, Direct Sum of Spaces, Coordinates 3. RING (CONTINUED) : Divisibility of Polynomials over a Field, Division Algorithm for Polynomials Over a Field, Euclidean Algorithm for Polynomials Over a Field, Unique Factorization Domain, The Unique Factorization Theorem For Polynomials Over a Field, Value of a Polynomial At X = C, Quotient Rings or Rings of Residue Classes, Homomorphism of Rings. Kernel of a Ring Homomorphism, Maximal Ideal, Some More Results on Ideals, Prime Ideals, Euclidean Rings or Euclidean Domains, Properties of Euclidean Rings, Ideal Generated by a Given Subset of a Ring, Principal Ideal Ring, Divisibility in an Integral Domain, Proper and Improper Divisors, Relatively Prime Elements, Degree of Polynomial, Degree of the Sum and the Product of Two Polynomials, Ring of Polynomials, Polynomials Over a Integral Domain 4. LOGICS : Introduction, Statement, Truth Value of a Statement, Equivalent Statements, Simple Statement, Compound Statement, Logic, Logical Connectives, Argument, Laws of Algebra of Proposition, Tautology and Fallacy, Mathematical System, Proofs, Methods of Proof, Normal Forms, Propositions over a Universe, Quantifiers Printed Pages: 296. Seller Inventory # 58971

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2010)

ISBN 10: 8171418880 ISBN 13: 9788171418886

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About this Item: Discovery Publishing House Pvt. Ltd., 2010. Hardcover. Condition: New. This Book "Modern Algebra" has been written for the students of honours and post graduate students of all Indian Universities. This book is also useful to the candidate of appearing in various competitions like pre-engineering/ I.A.S./P.C.S. etc. This book contain group, Rings, Vector Space etc. This book contains complete theory, Large number of solved examples. At the end of each chapter exercise containing large number of unsolved questions are given. Contents, 1. Rings : Introduction, Various Type of Ring, Elementary Properties of a Ring, Integral Multiples of the Elements of a Ring, Some Special Types of Rings, Rings with or without Zero Divisors, Cancellation Laws in a Ring, Integral Domain, Fields, Division, Rings, Integral, Domain, Division Ring or Skew Field, Field, Relation of Isomorphism in the Set of all Rings, Properties of Isomorphism of Rings, Transference of Ring Structure, Smallest Subring Containing a Given Subset of a Ring, Subfields, Characteristic of a Ring, Characteristic of Field, Ordered Integral Domains, Ideals, Smallest Left Ideal Containing a Given Subset 2. VECTOR SPACE : Introduction, Elementary Basic Concept, General Properties of Vector Spaces, Vector Subspaces, Algebra of Subspace, Linear Combination of Vectors : Linear Span of a Set, Linear Sum of Two Subspaces, Linear Dependence and Linear Independence of Vectors, Some Theorems of Linear Dependence and Linear Independence, Basis of Vector Space, Finite Dimensional Vector Space, Some Properties of Finite Dimensional Vector Spaces, Homomorphism of Vector Spaces or Linear Transformations, Isomorphism of Vector Space, Direct Sum of Spaces, Coordinates 3. RING (CONTINUED) : Divisibility of Polynomials over a Field, Division Algorithm for Polynomials Over a Field, Euclidean Algorithm for Polynomials Over a Field, Unique Factorization Domain, The Unique Factorization Theorem For Polynomials Over a Field, Value of a Polynomial At X = C, Quotient Rings or Rings of Residue Classes, Homomorphism of Rings. Kernel of a Ring Homomorphism, Maximal Ideal, Some More Results on Ideals, Prime Ideals, Euclidean Rings or Euclidean Domains, Properties of Euclidean Rings, Ideal Generated by a Given Subset of a Ring, Principal Ideal Ring, Divisibility in an Integral Domain, Proper and Improper Divisors, Relatively Prime Elements, Degree of Polynomial, Degree of the Sum and the Product of Two Polynomials, Ring of Polynomials, Polynomials Over a Integral Domain 4. LOGICS : Introduction, Statement, Truth Value of a Statement, Equivalent Statements, Simple Statement, Compound Statement, Logic, Logical Connectives, Argument, Laws of Algebra of Proposition, Tautology and Fallacy, Mathematical System, Proofs, Methods of Proof, Normal Forms, Propositions over a Universe, Quantifiers Printed Pages: 296. Seller Inventory # 58971

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A.K. Sharma

Published by Discovery Publishing House Pvt.Ltd, New Delhi (2016)

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House Pvt.Ltd, New Delhi, 2016. Hardcover. Condition: New. Seller Inventory # 410363

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2016)

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House Pvt. Ltd., 2016. Hardcover. Condition: New. Printed Pages: 308. Seller Inventory # Discovery-9788183562225

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2016)

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House Pvt. Ltd., 2016. Hardcover. Condition: New. Printed Pages: 308. Seller Inventory # Discovery-9788183562225

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2011)

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House Pvt. Ltd., 2011. Hardcover. Condition: New. This book Linear Algebra has been written .L for the use of students of Degree, Degree Honours and Postgraduate Classes of all Indian Universities. All the examples have been completely solved. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The students should first try to understand the theorems and then they should try to solve the questions independently. Contents, 1. Vector Spaces 2. Inner Product Spaces Printed Pages: 308. Seller Inventory # 58951

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2005)

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About this Item: Discovery Publishing House Pvt. Ltd., 2005. Hardcover. Condition: New. Linear Programming has progressed a great deal during last two decades. It is becoming increasingly sophisticated with the availability of Computer facilities and infusion of new concepts. The text of this book has been presented in easy and simple language. Throughout the text, the two streams theory and technique run side by side. Each technique is preceded by the relevant theory followed by suitable examples. A large number of important problems mostly drawn from University examination papers has been included. Contents, 1. VECTORS AN Context (SIMPLEX METHOD) : Origin and Development, Requirements of Linear Programming, Scope of Linear Programming, Some Basic Concept an Matrical and Linear Algebra, Matrix, Special Types of Matrices, Submatrices of a Matrix, Equality of Two Matrices, Addition of Matrices, Properties of Matrix Addition, Multiplication of a Matrix by a Scalar, Multiplication of Two Matrices, Properties of Matrix Multiplication, Determinant of a Square Matrix, Non-Singular and Singular Matrices, Transpose of a Matrix, Adjoint or Adjugate of a Square Matrix, Invertible Matrices : Inverse or Reciprocal of a Matrix, Vectors, Linear Dependence and Linear Independence of Vectors, A Vector as a Linear Combination of Vectors, Systems of Linear Non-Homogeneous Equations, Condition For a System of n Equations in n Unknowns to Have a Unique Solution, Working Rule For Finding the Solution of the Equation AX = B, Some Useful Results of Linear Algebra, Linear Programming an Linear Programming Problem, Basic Requirements of a Linear Programming Problem (L.P.P.), Mathematical Description of a General Linear Programming Problem, Mathematical Formulation of a Linear Programming Problem, Slack and Surplus Variables, Formulation as a Linear Programming Problems, Some Important Definitions and Results, Solution of Simultaneous Linear Inequations, Graphical Method to Solve a Linear Programming Problem, Limitations of the Graphical Method, Applications of Linear Programming Technique, Limitations of Linear Programming, Advantages of Linear Programming, Basic Solution (B.S.). 2. VECTORS AND CONVEX SETS : Vectors, Linear Combination of Vectors, Definitions, Convex Sets and Their Properties, Convex Combination, Convex Set, Extreme Point of a Convex Set, Convex Hull, Convex Function, Convex Polyhedron, Some Important Theorems, Analytical Method. 3. SIMPLEX METHOD (THEORY AND APPLICATION) : Introduction, Some Definitions and Notations, Fundamental Theorem of Linear Programming, Reduction of Feasible Solution to Basic Feasible Solution, To Determine Improved B.F.S. from a Given B.F.S., Conditions for the Existence of Unbounded Solution, Condition for Improved Basic Feasible Solution to Become Optimal, Alternative Optimal Solutions, Inconsistency and Redundancy in Constraint Equations, To Determine Starting B.F.S., Computational Procedure Simplex Method, Artificial Variables Technique, Computational Procedure of Two Phase Method, L.P.P. Having Unbounded Solution, Solution of Simultaneous Linear Equations by Simplex Method, Inverse of a Matrix by Simplex Method, To Compute the Inverse of a Matrix Whose one Column is Different from that of a Matrix Whose Inverse is Known. Printed Pages: 224. Seller Inventory # 59097

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2011)

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Discovery Publishing House Pvt. Ltd., 2011. Hardcover. Condition: New. This book Linear Algebra has been written .L for the use of students of Degree, Degree Honours and Postgraduate Classes of all Indian Universities. All the examples have been completely solved. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The students should first try to understand the theorems and then they should try to solve the questions independently. Contents, 1. Vector Spaces 2. Inner Product Spaces Printed Pages: 308. Seller Inventory # 58951

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2010)

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About this Item: Discovery Publishing House Pvt. Ltd., 2010. Hardcover. Condition: New. This Book "Modern Algebra" has been written for the students of honours and post graduate students of all Indian Universities. This book is also useful to the candidate of appearing in various competitions like pre-engineering/ I.A.S./P.C.S. etc. This book contain group, Rings, Vector Space etc. This book contains complete theory, Large number of solved examples. At the end of each chapter exercise containing large number of unsolved questions are given. Contents, 1. Rings : Introduction, Various Type of Ring, Elementary Properties of a Ring, Integral Multiples of the Elements of a Ring, Some Special Types of Rings, Rings with or without Zero Divisors, Cancellation Laws in a Ring, Integral Domain, Fields, Division, Rings, Integral, Domain, Division Ring or Skew Field, Field, Relation of Isomorphism in the Set of all Rings, Properties of Isomorphism of Rings, Transference of Ring Structure, Smallest Subring Containing a Given Subset of a Ring, Subfields, Characteristic of a Ring, Characteristic of Field, Ordered Integral Domains, Ideals, Smallest Left Ideal Containing a Given Subset 2. VECTOR SPACE : Introduction, Elementary Basic Concept, General Properties of Vector Spaces, Vector Subspaces, Algebra of Subspace, Linear Combination of Vectors : Linear Span of a Set, Linear Sum of Two Subspaces, Linear Dependence and Linear Independence of Vectors, Some Theorems of Linear Dependence and Linear Independence, Basis of Vector Space, Finite Dimensional Vector Space, Some Properties of Finite Dimensional Vector Spaces, Homomorphism of Vector Spaces or Linear Transformations, Isomorphism of Vector Space, Direct Sum of Spaces, Coordinates 3. RING (CONTINUED) : Divisibility of Polynomials over a Field, Division Algorithm for Polynomials Over a Field, Euclidean Algorithm for Polynomials Over a Field, Unique Factorization Domain, The Unique Factorization Theorem For Polynomials Over a Field, Value of a Polynomial At X = C, Quotient Rings or Rings of Residue Classes, Homomorphism of Rings. Kernel of a Ring Homomorphism, Maximal Ideal, Some More Results on Ideals, Prime Ideals, Euclidean Rings or Euclidean Domains, Properties of Euclidean Rings, Ideal Generated by a Given Subset of a Ring, Principal Ideal Ring, Divisibility in an Integral Domain, Proper and Improper Divisors, Relatively Prime Elements, Degree of Polynomial, Degree of the Sum and the Product of Two Polynomials, Ring of Polynomials, Polynomials Over a Integral Domain 4. LOGICS : Introduction, Statement, Truth Value of a Statement, Equivalent Statements, Simple Statement, Compound Statement, Logic, Logical Connectives, Argument, Laws of Algebra of Proposition, Tautology and Fallacy, Mathematical System, Proofs, Methods of Proof, Normal Forms, Propositions over a Universe, Quantifiers Printed Pages: 296. Seller Inventory # 58971

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A.K. Sharma

ISBN 10: 8183562221 ISBN 13: 9788183562225

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About this Item: Condition: New. This is Brand NEW. Seller Inventory # Discoveryh10118-1216

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A.K. Sharma

Published by Discovery Publishing House Pvt. Ltd. (2011)

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About this Item: Discovery Publishing House Pvt. Ltd., 2011. Hardcover. Condition: New. This book Linear Algebra has been written .L for the use of students of Degree, Degree Honours and Postgraduate Classes of all Indian Universities. All the examples have been completely solved. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The students should first try to understand the theorems and then they should try to solve the questions independently. Contents, 1. Vector Spaces 2. Inner Product Spaces Printed Pages: 308. Seller Inventory # 58951

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J. K. Sharma

Published by Ane Books Pvt. Ltd. (2014)

ISBN 10: 8180521834 ISBN 13: 9788180521836

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About this Item: Ane Books Pvt. Ltd., 2014. Soft cover. Condition: New. Dust Jacket Condition: New. 2nd Edition. Contents 1 Set Theory and Binary Operations 2 Functions and their Applications 3 Limit and Continuity 4 Differentiation Basic Concepts 5 Applications of Derivative 6 Maxima and Minima 7 Partial Differentiation 8 Integral Calculus 9 Vector Algebra 10 Matrix and Determinant 11 Mathematics for Finance and Investment 12 Fundamentals of Probability 13 Probability Distributions 14 Progressions AP GP HP 15 Analytical Geometry 16 Theory of Equations 17 Differential Equations and their Applications 18 Input-Output Analysis 19 Linear Programming Applications and Model Formulation 20 Graphical Method 21 Simplex Method 22 Duality in Linear Programming 23 Game TheoryThis book is designed for students studying quantitative methods from business perpective for the first time It provides the basic concepts and applications of mathematics suited to the needs of students appearing in the examinations of BCom Hons BA Eco Hons MCom MA Eco BBA BCA MBA BIT CA ICWA and other professional examinations The development of this book reflects a special concern to present mathematical concepts in terms that the reader can understand and practice with a variety of illustrations and examples Thus the approach is to communicate the practical aspects of mathematics in a way that drives out the common fear of learning any mathematical subjectEach chapter includes -Illustrations and solved examplesSelf practice problems with hints and answersTrend questions appearing in university and professional examinationsAll of these allow the reader to check his understanding and consolidate the learning progress 832 pp. Seller Inventory # 91990

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R.D. Sharma

Published by I.K. International (2010)

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About this Item: I.K. International, 2010. pbk. Contents 1 Preliminary Concepts 2 Modules 3 Vector Spaces 4 Linear Transformations 5 Linear Transformations and Matrices 6 Determinants 7 Inner Product Spaces 8 Linear Operators on Inner Product Spaces 9 Unitary Spaces 10 Linear Operators on Unitary Spaces 11 Bilinear and Quadratic Forms IndexTheory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities The book exhaustively covers the subject matter and its applications in various fields To understand the subject matter covered in the book reader must be aware of some basic concepts of abstract algebra These prerequisites have been covered in Chapter-0 The reader is advised to go through this chapter first before switching over to the next chapter The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter except Chapter-0 is a prerequisite to understand the topics covered in the chapters to follow Chapter 1 deals with modules and emphasis has been given to module morphisms cyclic modules free modules and Notherian modules Chapter 2 is an extension of chapter 1 when ring is replaced by a field Linear independence and dependence of vectors have been discussed In Chapter 3 vector space homomorphisms widely known as linear transformation have been discussed Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices In Chapter 5 concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed Inner product spaces unitary spaces and linear operators on them have been discussed in detail in the next four chapters Chapter 6 to Chapter 9 Bilinear forms and associated quadratic forms have been explained in the last chapter Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification 770 pp. Seller Inventory # 87771

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A K Sharma

Published by Discovery, New Delhi (2007)

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About this Item: Discovery, New Delhi, 2007. Hardbound. Condition: As New. New. Contents Preface. 1. Vector spaces. 2. Inner product spaces. All the examples have been completely solved. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The students should first try to understand the theorems and then they should try to solve the questions independently. 300 pp. Seller Inventory # 66693

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R.D Sharma

Published by I K International Publishing H (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing H, 2010. Paperback. Condition: Very Good. Great condition with minimal wear, aging, or shelf wear. Seller Inventory # P029380578865

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R.D. Sharma

Published by I K International Publishing House Pvt. Ltd (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing House Pvt. Ltd, 2010. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9789380578866

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R.D. Sharma

Published by I K International Publishing House Pvt. Ltd, India (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing House Pvt. Ltd, India, 2010. Paperback. Condition: New. Language: N/A. Brand New Book. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow.* Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules.* Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed.* In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed.* Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices.* In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Seller Inventory # AAN9789380578866

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Edited by M.G. Gorla, R.P. Sharma, Joginder S. Dhiman and R.G. Shandil

Published by Regal Publications (2011)

ISBN 10: 8184841035 ISBN 13: 9788184841039

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About this Item: Regal Publications, 2011. Contents Preface I Continuum mechanics 1 Nature of Neutal state in Marangoni convection in a relatively Hotter or Cooler liquid layer with free boundariesAnil K Gupta and RG Shandil 2 Jeans criterion of instability for a homogeneous heat conducting medium in the presence of non-uniform rotation and magnetic fieldJoginder S Dhiman and Rekha Dadwal 3 Thermosolutal convection of Micropolar fluids in the presence of suspended particles in porous mediumVeena Sharma and Suneel Dutt 4 Soret effects on free convection and mass transfer flow past an accelerated vertical plateKD Singh and BP Garg 5 Modified double-diffusive convection problem coupled with cross-diffusions in the case of realistic boundariesRG Shandil Joginder S Dhiman and Yadvinder Kumar 6 Unsteady free convective MHD flow through porous medium between two parallel vertical porous walls with heat sourcesMG Gorla Joginder S Dhiman and Tej Singh 7 A characterization theorem in thermohaline convection in Porous MediumJyoti Prakash and Vinod Kumar 8 Stability of stratified Elastico viscous Rivlin Ericksen fluid in the presence of variable magnetic field and rotationVeena Sharma and Sumit Gupta 9 Bounds for the frequency of oscillations for the rotary magnetohydrodynamic thermohaline stability problem in completely confined fluidsJoginder S Dhiman and Praveen K Sharma 10 On the exchange principle in Thermal Instability of couple stress fluid in porous medium with variable gravity by positive operatorsJoginder S Dhiman and Pushap Lata 11 On the thermoelastic waves in thin platesKL Verma Algebra 12 On strong radical theory of semiringsRam Parkash Sharma and Madhu Gupta 13 Strong lower radicals of semiringsRam Parkash Sharma and Madhu Gupta 14 On inequalities involving matrix powers and its extreme eigenvaluesRajesh Sharma and Rajeev Bhandari 15 Prime ideals of a ring R with the Brauer Diagrams acting on itRam Parkash Sharma and Vikram Singh Kapil 16 On the solution of non-linear complex equationsJN Sharma 17 On some inequalities involving harmonic mean and momentsRajesh Sharma and Madhu Gupta 18 F-completion of a fuzzy ultrametric spaceFelbin C KennedyThis book deals in the most recent advancements in all fields of Continuum Mechanics and Algebra Continuum Mechanics is a branch of mechanics that deals with the analysis of the kinematics and the mechanical behaviour of materials modeled as a continuous mass rather than as discrete particles Algebra is concerned with expressing problems in terms of mathematical symbols and establishing general rules for the combination and manipulation of those symbolsIn this book there are eighteen full-length papers on different topics of algebra and continuum mechanics It is hoped that these articles will be of immense use to the mathematicians and scientists working in the related fields 198 pp. Seller Inventory # 91392

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R.D. Sharma

Published by I K International Publishing House Pvt. Ltd, India (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing House Pvt. Ltd, India, 2010. Paperback. Condition: New. Language: N/A. Brand New Book. Theory and Problems of Linear Algebra has been designed to cater to the need of students opting Linear Algebra as a subject at undergraduate and postgraduate levels in various Indian universities. The book exhaustively covers the subject matter and its applications in various fields. To understand the subject matter covered in the book, reader must be aware of some basic concepts of abstract algebra. These prerequisites have been covered in Chapter-0. The reader is advised to go through this chapter first before switching over to the next chapter. The subject matter has been graded in such a systematic manner that the knowledge of topics covered in each chapter (except Chapter-0) is a prerequisite to understand the topics covered in the chapters to follow.* Chapter 1 deals with modules and emphasis has been given to module morphisms, cyclic modules, free modules and notherian modules.* Chapter 2 is an extension of chapter 1, when ring is replaced by a field. Linear independence and dependence of vectors have been discussed.* In Chapter 3, vector space homomorphisms, widely known as linear transformation, have been discussed.* Chapter 4 deals with relations between linear transformations between finite dimensional vector spaces and matrices.* In Chapter 5, concept of the determinant of a square matrix have been introduced and various properties of determinants have been discussed. Inner product spaces, unitary spaces and linear operators on them have been discussed in detail in the next four chapters (Chapter 6 to Chapter 9). Bilinear forms and associated quadratic forms have been explained in the last chapter. Features of the book will not only serve as a text book for a formal course in linear algebra but also as a supplement to standard texts in linear algebra and will also be helpful to all readers irrespective of their fields of specification. Seller Inventory # AAN9789380578866

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R.D Sharma

Published by I K International Publishing House (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing House, 2010. Paperback. Condition: New. book. Seller Inventory # M9380578865

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R.D Sharma

Published by I K International Publishing H (2010)

ISBN 10: 9380578865 ISBN 13: 9789380578866

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About this Item: I K International Publishing H, 2010. Paperback. Condition: New. Never used!. Seller Inventory # P119380578865

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