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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 35000000005481 | QA184.2 A58 2012 | Open Access Book | Book | Searching... |
Searching... | 30000010335472 | QA184.2 A58 2012 | Open Access Book | Book | Searching... |
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Summary
Summary
Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book.
Reviews 1
Choice Review
There are many linear algebra books on the market. This one is distinguished from others because it is designed not only as a course textbook but also as a guide for self-study. In this regard, Anthony and Harvey (both, London School of Economics, UK) summarize each chapter with learning outcomes and embed activities and comments intended to promote active learning. Chapters also contain exercises of varying difficulty with complete answers at the back of the book and the usual end-of-chapter problem sets. However, the focus is only on linear algebra per se. Linear algebra has many applications to a wide range of disciplines, but the authors leave it to readers to explore these elsewhere. Further, many contemporary linear algebra books include computational approaches using computer algebra software, but this work does not offer such an interface. The layout of the volume makes it highly readable. Though it is in many ways attractive for library acquisition, libraries should consider purchase only if they need to add to their collection of linear algebra books. Summing Up: Recommended. Lower-division undergraduates through graduate students; two-year technical program students. D. Z. Spicer University System of Maryland
Table of Contents
| Preface |
| Preliminaries: before we begin |
| 1 Matrices and vectors |
| 2 Systems of linear equations |
| 3 Matrix inversion and determinants |
| 4 Rank, range and linear equations |
| 5 Vector spaces |
| 6 Linear independence, bases and dimension |
| 7 Linear transformations and change of basis |
| 8 Diagonalisation |
| 9 Applications of diagonalisation |
| 10 Inner products and orthogonality |
| 11 Orthogonal diagonalisation and its applications |
| 12 Direct sums and projections |
| 13 Complex matrices and vector spaces |
| 14 Comments on exercises |
| Index |
