A Portrait of Linear Algebra (2nd Ed)(gnv64)

A Portrait of Linear Algebra (2nd Ed)
By Jude Thaddeus Socrates
Kendall Hunt Publishing | June 2013 | ISBN-10: 1465222103 | 850 Pages | PDF | 116 mb
https://www.amazon.com/Portrait-Linear-Algebra-SOCRATES-THADDEUS/dp/1465222103

The book's great strength is that it eases very gradually into the subject, starting with very simple, concrete examples of vectors and matrices in R2 and R3 and gradually working into abstract vector spaces, with lots and lots of numerical examples and exercises throughout. The book takes a "taxonomy" approach: it defines some objects and some properties, categorizes the objects according to which properties they have, and then declares the job done. Most of the exercises have answers in the back of the book

CONTENTS
Chapter 0. The Language of Mathematics: Sets, Axioms, Theorems & Proofs 1
Chapter 1. The Canvas of Linear Algebra: Euclidean Spaces and Subspaces 25
Chapter 2. Adding Movement and Colors: Linear Transformations on Euclidean Spaces 133
Chapter 3. From The Real to The Abstract: General Vector Spaces 241
Chapter 4. Peeling The Onion: The Subspace Structure of Vector Spaces 349
Chapter 5. From Square to Scalar: Permutation Theory and Determinants 403
Chapter 6. Painting the Lines: Eigentheory, Diagonalization and Similarity 449
Chapter 7. Geometry in the Abstract: Inner Product Spaces 513
Chapter 8. Imagine That: Complex Spaces and The Spectral Theorems 603
Chapter 9. The Big Picture: The Fundamental Theorem of Linear Algebra and Applications 669
Appendix A: The Real Number System 753
Appendix B: Logical Symbols and Truth Tables 773
Selected Answers to the Exercises 778
Glossary of Symbols 829
Subject Index 834