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R. K. Pandey

Published by RBSA Publishers (2011)

ISBN 10: 8176115479 ISBN 13: 9788176115476

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From: Vedams eBooks (P) Ltd (New Delhi, India)

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About this Item: RBSA Publishers, 2011. Contents Preface 1 Matrices and Determinant 2 Elementary Transformations of Matrix 3 Groups 4 Subgroup 5 Rings 6 Matrix Rings 7 Basic concepts of linear algebra 8 Vector space 9 Subspace 10 Linearly independent sets of vectors 11 Linear transformationThis book is an introduction to linear algebra for graduate and post-graduate students This book can be used a textbook by the post gradate as well Mathematics honours students This book is an introduction to linear algebra based on the syllabus taught in Indian Universities The book Linear Algebra is on a similar level with much more emphasis on good pedagogy Students are encouraged to try the problems which range from the mechanical to the more delicate This book is a presentation of the elements of Linear Algebra that every mathematician and everyone who uses mathematics should know It clovers the core material form the basic notion of a finite-dimensional vector space over a general field to the canonical forms of linear operators and their matrices obtained by the decomposition of a general linear system into the direct sum of cyclic systems Along the way it covers such key topics as systems of linear equations linear operators and matrices determinants duality inner products and the spectral theory of operators on inner-product spaces It is self-contained and includes an appendix that provides all the necessary background material the very basic properties of groups rings and of the algebra of polynomials over a field The book is intended however for readers with some mathematical maturity and readiness to deal with abstraction and formal reasoning 324 pp. Seller Inventory # 99321

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R.K.PANDEY

Published by ANMOL Publications PVT. LTD.

ISBN 10: 8126139145 ISBN 13: 9788126139149

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From: BookVistas (New Delhi, India)

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About this Item: ANMOL Publications PVT. LTD. Condition: New. Seller Inventory # AP-9788126139149

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R K Pandey

Published by Anmol, New Delhi (2009)

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About this Item: Anmol, New Delhi, 2009. Hardbound. Condition: As New. New. Contents Vol. I Preface. List of symbols. 1. System of linear equations. 2. Existence and uniqueness of solution. 3. Linear transformation and Matrix. 4. Composition and Matrix multiplication. 5. Inverse transformation. 6. Linear independence. 7. Algebra of complex numbers. 8. Functions of complex variable. 9. Onto functions. 10. Polynomial. 11. Complex diagonalization. Vol. II Preface. List of symbols. 1. Determinant. 2. Computation of determinant. 3. Vector algebra. 4. Vectors and direction. 5. Vector space. 6. Direct sum of vector spaces. 7. Eigenvalue and eigenvector. 8. Kernel and Null space. 9. Eigenspace and multiplicity. 10. Dual space. 11. Basis. 12. Change of basis. Linear Algebra has occupied a very crucial place in mathematics. Linear Algebra is a continuation of classical course in the light of the modern development in science and mathematics. We must emphasize that mathematics is not a spectator sport and that in order to understand and appreciate mathematics it is necessary to do a great deal of personal cogitation and problem solving. Throughout the book the author follows the practice of first presenting required background material which is then used to develop the results. Relevant material is included in each chapter form other sources improves readability and makes the presentation self contained to a large extent. In addition at the end of each chapter a comprehensive exercise is provided so that the interested reader can explore in more depth. 634 pp. Seller Inventory # 72863

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