โ Scribed by Jimmie Gilbert and Linda Gilbert (Auth.)
No coin nor oath required. For personal study only.
Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and accessible manner, presenting notation and terminology clearly and concisely, and providing smooth transitions between topics. The examples and exercises are well designed and will aid diligent students in understanding both computational and theoretical aspects. In all, the straightest, smoothest path to the heart of linear algebra.
Special Features:
Provides complete coverage of central material.
Presents clear and direct explanations.
Includes classroom tested material.
Bridges the gap from lower division to upper division work.
Allows instructors alternatives for introductory or second-level courses.
Content:
Front Matter, Page iii
Copyright, Page iv
Preface, Pages ix-x
Chapter 1 - Real Coordinate Spaces, Pages 1-39
Chapter 2 - Elementary Operations on Vectors, Pages 41-57
Chapter 3 - Matrix Multiplication, Pages 59-112
Chapter 4 - Vector Spaces, Matrices, and Linear Equations, Pages 113-144
Chapter 5 - Linear Transformations, Pages 145-185
Chapter 6 - Determinants, Pages 187-212
Chapter 7 - Eigenvalues and Eigenvectors, Pages 213-238
Chapter 8 - Functions of Vectors, Pages 239-292
Chapter 9 - Inner Product Spaces, Pages 293-323
Chapter 10 - Spectral Decompositions, Pages 325-362
Answers to Selected Exercises, Pages 363-387
Index, Pages 389-394
๐ SIMILAR VOLUMES
https://www.mathstat.dal.ca/~selinger/linear-algebra/
This revision of a well-known text includes more sophisticated mathematical material. A new section on applications provides an introduction to the modern treatment of calculus of several variables, and the concept of duality receives expanded coverage. Notations have been changed to correspond to m
<DIV>Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and co
<DIV>Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and co