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Published by Birkhauser Verlag (1989)
ISBN 10: 0817622306 ISBN 13: 9780817622305
Quantity Available: 1
From: Better World Books (Mishawaka, IN, U.S.A.)
About this Item: Birkhauser Verlag, 1989. Condition: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Seller Inventory # GRP82964201
Published by Springer
ISBN 10: 038797847X ISBN 13: 9780387978475
Quantity Available: 1
From: ThriftBooks (Auburn, WA, U.S.A.)
About this Item: Springer. Hardcover. Condition: Good. A copy that has been read, but remains in clean condition. All pages are intact, and the cover is intact. The spine may show signs of wear. Pages can include limited notes and highlighting, and the copy can include previous owner inscriptions. At ThriftBooks, our motto is: Read More, Spend Less. Seller Inventory # G038797847XI3N00
Published by Springer-Verlag (1992)
ISBN 10: 038797847X ISBN 13: 9780387978475
Quantity Available: 1
From: Better World Books (Mishawaka, IN, U.S.A.)
About this Item: Springer-Verlag, 1992. Condition: Good. Shows some signs of wear, and may have some markings on the inside. Seller Inventory # GRP2897738
Published by Createspace Independent Publishing Platform, United States (2014)
ISBN 10: 1502425823 ISBN 13: 9781502425829
Quantity Available: 10
From: Book Depository International (London, United Kingdom)
About this Item: Createspace Independent Publishing Platform, United States, 2014. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. From the INTRODUCTION TO the general reader, the name of the fourth dimension brings reminiscences of Flatland and The Time Machine. On hearing that to the mathematician the extension from three dimensions to four or five is trivial, he thinks he is being told that a study of mathematics, if reasonably intense, creates physical faculties or powers of visualisation with which the uninitiated are not endowed. Learning that Minkowski and Einstein combine space and time into a single continuum, he tries to believe in the existence of a state of mind in which the sensations of space and time are confused, and naturally he fails. The position of students of mathematical physics, and of all but a fortunate few of the students of pure mathematics, is little better. Accustomed to regard a Cartesian frame of axes as a scaffolding erected in the real space around them, they can attach no meaning to a fourth coordinate, but having used complex electromotive forces with success in the theory of alternating currents, and having treated a symbol of differentiation as a detachable algebraic variable even to the extent of resolving operators into partial fractions for the solution of differential equations, these students are prepared to give pragmatical sanction to the most fantastic language. The pure mathematician makes no attempt to imagine a space of four dimensions; he lays no claim to visualizing a world that is inconceivable to other men. Only he finds that certain notions in algebra are discussed most readily in terms adopted from geometry and given a meaning entirely algebraic, and since it is to the mathematician alone that algebraic problems are of concern in themselves, fear lest the man in the street should mistake the very subject of a mathematical conversation he might overhear has not prevented the mathematician from using the vocabulary he finds best suited to his own needs. Now it has happened that the talk of a few mathematicians has suddenly become of universal and absorbing interest, and a dictionary explaining the meanings they are in the habit of giving to some familiar words is required. It is this dictionary that I have tried to write, and I have written it in the simplest terms I could find, in the hope that it will prove intelligible to anyone familiar with elementary trigonometry and with the solution of simultaneous linear equations in algebra; for this reason, I have not treated the point as indefinable, I have supposed the numbers used always to be real, and I have avoided Frege-Russell definitions. The reader s first feeling will be one of disillusion. Are Einstein and Eddington talking not about a new heaven and a new earth but about linear algebraic equations? To discuss the question is beyond the province of a lexicographer. Perhaps even the mathematical student, if he can overcome a reasonable irritation at the restrictions, from his point of view arbitrary, to four dimensions and to real numbers, and at the absence of certain obvious forms of abbreviation, may derive some help from the pamphlet. The possibility of constructing an abstract space is always assumed, but the details of the construction, even for two or three dimensions only, are either taken for granted or disguised as theorems on matrices or on linear equations. The idea of direction and the measurement of angles in a constructed plane demand careful consideration. The nature of pure rotation in four dimensions is by no means obvious; on the contrary, rotation is the most difficult of the elementary notions used in the theory of relativity, and with an account of rotation our formal work comes to a natural end. Seller Inventory # APC9781502425829
Published by Createspace Independent Publishing Platform, United States (2014)
ISBN 10: 1502425823 ISBN 13: 9781502425829
Quantity Available: 10
From: The Book Depository (London, United Kingdom)
About this Item: Createspace Independent Publishing Platform, United States, 2014. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.From the INTRODUCTION TO the general reader, the name of the fourth dimension brings reminiscences of Flatland and The Time Machine. On hearing that to the mathematician the extension from three dimensions to four or five is trivial, he thinks he is being told that a study of mathematics, if reasonably intense, creates physical faculties or powers of visualisation with which the uninitiated are not endowed. Learning that Minkowski and Einstein combine space and time into a single continuum, he tries to believe in the existence of a state of mind in which the sensations of space and time are confused, and naturally he fails. The position of students of mathematical physics, and of all but a fortunate few of the students of pure mathematics, is little better. Accustomed to regard a Cartesian frame of axes as a scaffolding erected in the real space around them, they can attach no meaning to a fourth coordinate, but having used complex electromotive forces with success in the theory of alternating currents, and having treated a symbol of differentiation as a detachable algebraic variable even to the extent of resolving operators into partial fractions for the solution of differential equations, these students are prepared to give pragmatical sanction to the most fantastic language. The pure mathematician makes no attempt to imagine a space of four dimensions; he lays no claim to visualizing a world that is inconceivable to other men. Only he finds that certain notions in algebra are discussed most readily in terms adopted from geometry and given a meaning entirely algebraic, and since it is to the mathematician alone that algebraic problems are of concern in themselves, fear lest the man in the street should mistake the very subject of a mathematical conversation he might overhear has not prevented the mathematician from using the vocabulary he finds best suited to his own needs. Now it has happened that the talk of a few mathematicians has suddenly become of universal and absorbing interest, and a dictionary explaining the meanings they are in the habit of giving to some familiar words is required. It is this dictionary that I have tried to write, and I have written it in the simplest terms I could find, in the hope that it will prove intelligible to anyone familiar with elementary trigonometry and with the solution of simultaneous linear equations in algebra; for this reason, I have not treated the point as indefinable, I have supposed the numbers used always to be real, and I have avoided Frege-Russell definitions. The reader s first feeling will be one of disillusion. Are Einstein and Eddington talking not about a new heaven and a new earth but about linear algebraic equations? To discuss the question is beyond the province of a lexicographer. Perhaps even the mathematical student, if he can overcome a reasonable irritation at the restrictions, from his point of view arbitrary, to four dimensions and to real numbers, and at the absence of certain obvious forms of abbreviation, may derive some help from the pamphlet. The possibility of constructing an abstract space is always assumed, but the details of the construction, even for two or three dimensions only, are either taken for granted or disguised as theorems on matrices or on linear equations. The idea of direction and the measurement of angles in a constructed plane demand careful consideration. The nature of pure rotation in four dimensions is by no means obvious; on the contrary, rotation is the most difficult of the elementary notions used in the theory of relativity, and with an account of rotation our formal work comes to a natural end. Seller Inventory # APC9781502425829
Published by Createspace Independent Publishing Platform, United States (2016)
ISBN 10: 1523796995 ISBN 13: 9781523796991
Quantity Available: 10
From: Book Depository International (London, United Kingdom)
About this Item: Createspace Independent Publishing Platform, United States, 2016. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. This is an excellent tract on what is now an extensive subject. The main points are very clearly put; room has even been found for an outline of non-Euclidean geometry, and the expression of co-ordinates of points on an algebraic curve as one-valued functions. There is a bibliography which seems to include most of the books and papers of really first-rate importance; and there is a sufficient number of diagrams. English-speaking students ought now, at any rate, to appreciate Poincaré’s wonderful discoveries in this field. –Nature, Vol. 96. Seller Inventory # APC9781523796991
Published by Createspace Independent Publishing Platform, United States (2016)
ISBN 10: 1523796995 ISBN 13: 9781523796991
Quantity Available: 10
From: The Book Depository (London, United Kingdom)
About this Item: Createspace Independent Publishing Platform, United States, 2016. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.This is an excellent tract on what is now an extensive subject. The main points are very clearly put; room has even been found for an outline of non-Euclidean geometry, and the expression of co-ordinates of points on an algebraic curve as one-valued functions. There is a bibliography which seems to include most of the books and papers of really first-rate importance; and there is a sufficient number of diagrams. English-speaking students ought now, at any rate, to appreciate Poincaré’s wonderful discoveries in this field. –Nature, Vol. 96. Seller Inventory # APC9781523796991
Published by Frederick Ungar Publishing, Co. (1960)
Quantity Available: 1
From: Zubal-Books (Cleveland, OH, U.S.A.)
About this Item: Frederick Ungar Publishing, Co., 1960. Condition: Very Good. *Price HAS BEEN reduced by 5% until Monday, June 25 (SALE ITEM)* 308 pp., hardcover, previous owner's name on front free endpaper, this is the 1933 first printing, very good in a good dust jacket. Seller Inventory # ZB1100517
Published by Dover Publications Inc., United States (2015)
ISBN 10: 0486787842 ISBN 13: 9780486787848
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2015. Paperback. Condition: New. Language: English . Brand New Book. Concise and authoritative, this monograph is geared toward advanced undergraduate and graduate students. The main theorems whose proofs are given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic geometry. The proofs are fairly elaborate and involve a considerable amount of detail; therefore, some appear in separate chapters that include geometrical descriptions and diagrams. The treatment begins with a brief introduction and considerations of linear sections of an algebraic variety as well as singular and hyperplane sections. Subsequent chapters explore Lefschetz s first and second theorems with proof of the second theorem, the Poincare formula and details of its proof, and invariant and relative cycles. Seller Inventory # AAC9780486787848
Published by Birkh?user (1989)
ISBN 10: 3764322306 ISBN 13: 9783764322304
Quantity Available: 1
From: Better World Books Ltd (Dunfermline, United Kingdom)
About this Item: Birkh?user, 1989. Condition: Good. 1988th Edition. Ships from the UK. Shows some signs of wear, and may have some markings on the inside. Seller Inventory # GRP95608382
More information about this seller | Contact this seller 10.
Published by Birkh?user (1989)
ISBN 10: 3764322306 ISBN 13: 9783764322304
Quantity Available: 1
From: Better World Books Ltd (Dunfermline, United Kingdom)
About this Item: Birkh?user, 1989. Condition: Very Good. 1988th Edition. Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP96098831
More information about this seller | Contact this seller 11.
Published by Dover Publications Inc., United States (2010)
ISBN 10: 0486635457 ISBN 13: 9780486635453
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2010. Paperback. Condition: New. New edition. Language: English . Brand New Book. The present book, a valuable addition to the English-language literature on linear algebra and tensors, constitutes a lucid, eminently readable and completely elementary introduction to this field of mathematics. A special merit of the book is its free use of tensor notation, in particular the Einstein summation convention. The treatment is virtually self-contained. In fact, the mathematical background assumed on the part of the reader hardly exceeds a smattering of calculus and a casual acquaintance with determinants. The authors begin with linear spaces, starting with basic concepts and ending with topics in analytic geometry. They then treat multilinear forms and tensors (linear and bilinear forms, general definition of a tensor, algebraic operations on tensors, symmetric and antisymmetric tensors, etc.), and linear transformation (again basic concepts, the matrix and multiplication of linear transformations, inverse transformations and matrices, groups and subgroups, etc.). The last chapter deals with further topics in the field: eigenvectors and eigenvalues, matrix ploynomials and the Hamilton-Cayley theorem, reduction of a quadratic form to canonical form, representation of a nonsingular transformation, and more. Each individual section -- there are 25 in all -- contains a problem set, making a total of over 250 problems, all carefully selected and matched. Hints and answers to most of the problems can be found at the end of the book. Dr. Silverman has revised the text and numerous pedagogical and mathematical improvements, and restyled the language so that it is even more readable. With its clear exposition, many relevant and interesting problems, ample illustrations, index and bibliography, this book will be useful in the classroom or for self-study as an excellent introduction to the important subjects of linear algebra and tensors. Seller Inventory # AAC9780486635453
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Published by Dover Publications Inc., United States (2015)
ISBN 10: 0486787842 ISBN 13: 9780486787848
Quantity Available: 1
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2015. Paperback. Condition: New. Language: English . Brand New Book. Concise and authoritative, this monograph is geared toward advanced undergraduate and graduate students. The main theorems whose proofs are given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic geometry. The proofs are fairly elaborate and involve a considerable amount of detail; therefore, some appear in separate chapters that include geometrical descriptions and diagrams. The treatment begins with a brief introduction and considerations of linear sections of an algebraic variety as well as singular and hyperplane sections. Subsequent chapters explore Lefschetz s first and second theorems with proof of the second theorem, the Poincare formula and details of its proof, and invariant and relative cycles. Seller Inventory # AAC9780486787848
More information about this seller | Contact this seller 13.
Published by Dover Publications Inc., United States (2010)
ISBN 10: 0486635457 ISBN 13: 9780486635453
Quantity Available: 1
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2010. Paperback. Condition: New. New edition. Language: English . Brand New Book. The present book, a valuable addition to the English-language literature on linear algebra and tensors, constitutes a lucid, eminently readable and completely elementary introduction to this field of mathematics. A special merit of the book is its free use of tensor notation, in particular the Einstein summation convention. The treatment is virtually self-contained. In fact, the mathematical background assumed on the part of the reader hardly exceeds a smattering of calculus and a casual acquaintance with determinants. The authors begin with linear spaces, starting with basic concepts and ending with topics in analytic geometry. They then treat multilinear forms and tensors (linear and bilinear forms, general definition of a tensor, algebraic operations on tensors, symmetric and antisymmetric tensors, etc.), and linear transformation (again basic concepts, the matrix and multiplication of linear transformations, inverse transformations and matrices, groups and subgroups, etc.). The last chapter deals with further topics in the field: eigenvectors and eigenvalues, matrix ploynomials and the Hamilton-Cayley theorem, reduction of a quadratic form to canonical form, representation of a nonsingular transformation, and more. Each individual section -- there are 25 in all -- contains a problem set, making a total of over 250 problems, all carefully selected and matched. Hints and answers to most of the problems can be found at the end of the book. Dr. Silverman has revised the text and numerous pedagogical and mathematical improvements, and restyled the language so that it is even more readable. With its clear exposition, many relevant and interesting problems, ample illustrations, index and bibliography, this book will be useful in the classroom or for self-study as an excellent introduction to the important subjects of linear algebra and tensors. Seller Inventory # AAC9780486635453
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Published by Dover Publications Inc., United States (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 1990. Paperback. Condition: New. Reprint. Language: English . Brand New Book. -Attractive and well-written introduction.- -- Journal of Symbolic Logic The logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed. Divided into three chapters, the book begins with a brief encounter of naive set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited. Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, and the predicate calculus is proved to be complete. The book concludes with an outline of Godel s incompleteness theorem. Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory. -An excellent text.- -- Mathematical Reviews. Seller Inventory # AAC9780486662695
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Published by Cambridge University Press (1961)
Quantity Available: 1
From: Green Ink Booksellers (Hay-on-Wye, United Kingdom)
About this Item: Cambridge University Press, 1961. Hardcover. Condition: Very Good. No Jacket. book shop stamp at base of title page Cover unevenly faded - book ow solid, clean and bright 135 pages. 12mo. Seller Inventory # 582335
More information about this seller | Contact this seller 16.
Published by Dover Publications Inc., United States (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
Quantity Available: 1
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 1990. Paperback. Condition: New. Reprint. Language: English . Brand New Book. -Attractive and well-written introduction.- -- Journal of Symbolic Logic The logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed. Divided into three chapters, the book begins with a brief encounter of naive set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited. Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, and the predicate calculus is proved to be complete. The book concludes with an outline of Godel s incompleteness theorem. Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory. -An excellent text.- -- Mathematical Reviews. Seller Inventory # AAC9780486662695
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Published by Cambridge University Press (1963)
Quantity Available: 1
From: Anybook Ltd. (Lincoln, United Kingdom)
About this Item: Cambridge University Press, 1963. Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Seller Inventory # 5303212
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Published by Birkh?user Boston
ISBN 10: 3764322306 ISBN 13: 9783764322304
Quantity Available: 1
From: ThriftBooks (Auburn, WA, U.S.A.)
About this Item: Birkh?user Boston. Paperback. Condition: Fair. A readable copy. All pages are intact, and the cover is intact. Pages can include considerable notes-in pen or highlighter-but the notes cannot obscure the text. At ThriftBooks, our motto is: Read More, Spend Less. Seller Inventory # G3764322306I5N00
More information about this seller | Contact this seller 19.
Published by Cambridge University Press
ISBN 10: 9382264019 ISBN 13: 9789382264019
Quantity Available: 4
From: Majestic Books (London, ,, United Kingdom)
About this Item: Cambridge University Press. Condition: New. pp. 222. Seller Inventory # 25095490
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Published by Dover Publications Inc., United States (2008)
ISBN 10: 0486466299 ISBN 13: 9780486466293
Quantity Available: 10
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2008. Paperback. Condition: New. Dover. Language: English . Brand New Book. Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, it develops topics from the beginning, with emphasis on constructions related to algebraic operations. The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry. Readers are assured of a variety of perspectives, which include references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by kinematics. The third chapter, on circular transformations, revives in a slightly modified form the essentials of the projective geometry of real binary forms. Numerous exercises appear throughout the text. Seller Inventory # AAC9780486466293
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Published by Cambridge University Press (1941)
Quantity Available: 1
From: Anybook Ltd. (Lincoln, United Kingdom)
About this Item: Cambridge University Press, 1941. Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Seller Inventory # 4284778
More information about this seller | Contact this seller 22.
Published by Dover Publications Inc., United States (2005)
ISBN 10: 0486446115 ISBN 13: 9780486446110
Quantity Available: 10
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2005. Paperback. Condition: New. Language: English . Brand New Book. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. Seller Inventory # AAC9780486446110
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Published by Dover Publications Inc., United States (2008)
ISBN 10: 0486466299 ISBN 13: 9780486466293
Quantity Available: 10
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2008. Paperback. Condition: New. Dover. Language: English . Brand New Book. Geared toward readers unfamiliar with complex numbers, this text explains how to solve the kinds of problems that frequently arise in the applied sciences, especially electrical studies. To assure an easy and complete understanding, it develops topics from the beginning, with emphasis on constructions related to algebraic operations. The three-part treatment begins with geometric representations of complex numbers and proceeds to an in-depth survey of elements of analytic geometry. Readers are assured of a variety of perspectives, which include references to algebra, to the classical notions of analytic geometry, to modern plane geometry, and to results furnished by kinematics. The third chapter, on circular transformations, revives in a slightly modified form the essentials of the projective geometry of real binary forms. Numerous exercises appear throughout the text. Seller Inventory # AAC9780486466293
More information about this seller | Contact this seller 24.
Published by Dover Publications Inc., United States (2011)
ISBN 10: 0486626679 ISBN 13: 9780486626673
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2011. Paperback. Condition: New. New edition. Language: English . Brand New Book. This text, designed for courses in linear algebra or for supplementary use by students in such courses, possesses the distinct advantage of approaching the subject simultaneously at two levels: the concrete and the axiomatic. Each new property of a vector space is discussed first at one level, then the other. Thus the student is introduced to the elegance and power of mathematical reasoning on the basis of a set of axioms; the gap is bridged between emphasis on problem-solving and the axiomatic approach of much of modern mathematical research; and the frequent return to concrete formulations helps keep the student s feet on solid ground. The text is designed to develop understanding and conceptual grasp, rather than mere manipulation. The early chapters supply a far more detailed exposition than found in many texts, important for the student having his first experience with mathematical rigor. Concepts of vector space, linear transformation, and matrix are presented, then applied to solution of systems of linear equations. A self-contained development of the theory of determinants is given; the student is introduced to the general concept of invariant; then to the theory of similarity. Exposition of the bilinear and quadratic forms and of orthogonal equivalence follow. The last four chapters are more advanced in nature and the level of treatment somewhat higher. The standard theory of polynomials in one indeterminate is given; the development of the general theory of simple algebraic extensions of a field is presented in a form that can be used as a foundation for Galois theory and also for the general similarity theory. The standard canonical forms for matrices with integral or polynomial elements are presented, followed by the similarity theory, with applications to geometry and to differential equations. The final chapter provides an introduction to the important topic of linear inequalities, often neglected in elementary texts on matrix theory. The objective is to provide the student with sufficient background to read books and papers on game theory and linear programming. Exercises follow each exposition. Seller Inventory # AAC9780486626673
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Published by Dover Publications Inc., United States (1994)
ISBN 10: 0486679667 ISBN 13: 9780486679662
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 1994. Paperback. Condition: New. New edition. Language: English . Brand New Book. The creation of algebraic topology is a major accomplishment of 20th-century mathematics. The goal of this book is to show how geometric and algebraic ideas met and grew together into an important branch of mathematics in the recent past. The book also conveys the fun and adventure that can be part of a mathematical investigation. Combinatorial topology has a wealth of applications, many of which result from connections with the theory of differential equations. As the author points out, Combinatorial topology is uniquely the subject where students of mathematics below graduate level can see the three major divisions of mathematics -- analysis, geometry, and algebra -- working together amicably on important problems. To facilitate understanding, Professor Henle has deliberately restricted the subject matter of this volume, focusing especially on surfaces because the theorems can be easily visualized there, encouraging geometric intuition. In addition, this area presents many interesting applications arising from systems of differential equations. To illuminate the interaction of geometry and algebra, a single important algebraic tool -- homology -- is developed in detail. Written for upper-level undergraduate and graduate students, this book requires no previous acquaintance with topology or algebra. Point set topology and group theory are developed as they are needed. In addition, a supplement surveying point set topology is included for the interested student and for the instructor who wishes to teach a mixture of point set and algebraic topology. A rich selection of problems, some with solutions, are integrated into the text. Seller Inventory # AAC9780486679662
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Published by Dover Publications Inc., United States (2005)
ISBN 10: 0486446115 ISBN 13: 9780486446110
Quantity Available: 10
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2005. Paperback. Condition: New. Language: English . Brand New Book. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts -- the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. Seller Inventory # AAC9780486446110
More information about this seller | Contact this seller 27.
Published by Dover Publications Inc., United States (2011)
ISBN 10: 0486626679 ISBN 13: 9780486626673
Quantity Available: 1
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2011. Paperback. Condition: New. New edition. Language: English . Brand New Book. This text, designed for courses in linear algebra or for supplementary use by students in such courses, possesses the distinct advantage of approaching the subject simultaneously at two levels: the concrete and the axiomatic. Each new property of a vector space is discussed first at one level, then the other. Thus the student is introduced to the elegance and power of mathematical reasoning on the basis of a set of axioms; the gap is bridged between emphasis on problem-solving and the axiomatic approach of much of modern mathematical research; and the frequent return to concrete formulations helps keep the student s feet on solid ground. The text is designed to develop understanding and conceptual grasp, rather than mere manipulation. The early chapters supply a far more detailed exposition than found in many texts, important for the student having his first experience with mathematical rigor. Concepts of vector space, linear transformation, and matrix are presented, then applied to solution of systems of linear equations. A self-contained development of the theory of determinants is given; the student is introduced to the general concept of invariant; then to the theory of similarity. Exposition of the bilinear and quadratic forms and of orthogonal equivalence follow. The last four chapters are more advanced in nature and the level of treatment somewhat higher. The standard theory of polynomials in one indeterminate is given; the development of the general theory of simple algebraic extensions of a field is presented in a form that can be used as a foundation for Galois theory and also for the general similarity theory. The standard canonical forms for matrices with integral or polynomial elements are presented, followed by the similarity theory, with applications to geometry and to differential equations. The final chapter provides an introduction to the important topic of linear inequalities, often neglected in elementary texts on matrix theory. The objective is to provide the student with sufficient background to read books and papers on game theory and linear programming. Exercises follow each exposition. Seller Inventory # AAC9780486626673
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Published by Dover Publications Inc., United States (2008)
ISBN 10: 0486466272 ISBN 13: 9780486466279
Quantity Available: 1
From: Book Depository International (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 2008. Paperback. Condition: New. Language: English . Brand New Book. Most linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. It begins by using the complex number plane as an introduction to a variety of transformations and their groups in the Euclidean plane, explaining algebraic concepts as they arise. A brief account of Poincare s model of the hyperbolic plane and its transformation group follow. Succeeding chapters contain a systematic treatment of affine, Euclidean, and projective spaces over fields that emphasizes transformations and their groups, along with an outline of results involving other geometries. An examination of the foundations of geometry starts from rudimentary projective incidence planes, then gradually adjoins axioms and develops various non-Desarguesian, Desarguesian, and Pappian planes, their corresponding algebraic structures, and their collineation groups. The axioms of order, continuity, and congruence make their appearance and lead to Euclidean andnon-Euclideanplanes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups. Seller Inventory # AAC9780486466279
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Published by Dover Publications Inc., United States (1994)
ISBN 10: 0486679667 ISBN 13: 9780486679662
Quantity Available: 1
From: The Book Depository (London, United Kingdom)
About this Item: Dover Publications Inc., United States, 1994. Paperback. Condition: New. New edition. Language: English . Brand New Book. The creation of algebraic topology is a major accomplishment of 20th-century mathematics. The goal of this book is to show how geometric and algebraic ideas met and grew together into an important branch of mathematics in the recent past. The book also conveys the fun and adventure that can be part of a mathematical investigation. Combinatorial topology has a wealth of applications, many of which result from connections with the theory of differential equations. As the author points out, Combinatorial topology is uniquely the subject where students of mathematics below graduate level can see the three major divisions of mathematics -- analysis, geometry, and algebra -- working together amicably on important problems. To facilitate understanding, Professor Henle has deliberately restricted the subject matter of this volume, focusing especially on surfaces because the theorems can be easily visualized there, encouraging geometric intuition. In addition, this area presents many interesting applications arising from systems of differential equations. To illuminate the interaction of geometry and algebra, a single important algebraic tool -- homology -- is developed in detail. Written for upper-level undergraduate and graduate students, this book requires no previous acquaintance with topology or algebra. Point set topology and group theory are developed as they are needed. In addition, a supplement surveying point set topology is included for the interested student and for the instructor who wishes to teach a mixture of point set and algebraic topology. A rich selection of problems, some with solutions, are integrated into the text. Seller Inventory # AAC9780486679662
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