Linear Algebra and Its Applications, 4th Edition

Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang’s emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.

Table of Contents

Chapter 1 Matrices and Gaussian Elimination
Chapter 2 Vector Spaces
Chapter 3 Orthogonality
Chapter 4 Determinants
Chapter 5 Eigenvalues and Eigenvectors
Chapter 6 Positive Definite Matrices
Chapter 7 Computations with Matrices
Chapter 8 Linear Programming and Game Theory

A Intersection, Sum, and Product of Spaces
B The Jordan Form
C Matrix Factorizations
D Glossary: A Dictionary for Linear Algebra
E MATLAB Teaching Codes
F Linear Algebra in a Nutshell