Exercises in algebra : A collection of exercises in algebra, linear algebra and geometry
著者
書誌事項
Exercises in algebra : A collection of exercises in algebra, linear algebra and geometry
（Algebra, logic and applications series, v. 6）
Gordon and Breach Science Publishers, c1996
Expanded English ed
- : hbk
- : pbk
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注記
Includes index: p. 461-464
内容説明・目次
- 巻冊次
-
: hbk ISBN 9782884490290
内容説明
This text contains more than 2000 exercises in algebra. These exercises are currently used in teaching a fundamental course in algebra in the Department of Mechanics and Mathematics at Moscow State University. The text is divided into three parts, which correspond to three semesters of study. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks. At the end of the book, results of calculations, a list of notations and basic definitions are given.
目次
Preface to the Russian edition, Foreword to the English edition, PART ONE: FOUNDATIONS OF ALGEBRA, PART TWO: LINEAR ALGEBRA AND GEOMETRY, PART THREE: BASIC ALGEBRAIC STRUCTURES, Answers and hints, Theoretical material, List of definitions, List of symbols, Index
- 巻冊次
-
: pbk ISBN 9782884490306
内容説明
This book is a collection of exercises for courses in higher algebra, linear algebra and geometry. It is helpful for postgraduate students in checking the solutions and answers to the exercises.
目次
Foundations of Algebra 1. Sets and maps 2. Arithmetic spaces and linear equations 3. Determinants 4. Matrices 5. Complex numbers 6. Polynomials Linear Algebra and Geometry 7. Vector spaces 8. Bilinear and quadratic functions 9. Linear operators 10. Metric vector spaces 11. Tensors 12. Affine, Euclidean, and projective geometry Basic Algebraic Structures 13. Groups 14. Rings 15. Elements of representation theory
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