Linear Algebra and Its Applications – Gilbert Strang – 3rd Edition


Renowned professor and author Gilbert demonstrates that 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.

With a highly applied approach to style, this book combines the most important underlying theory with examples of engineering, science, physics, biology and economics. An extensive list of computer codes in an appendix and new exercises to solve by computer are reflected in the text of Strang. Many of the exercises appear in sections and chapter exams. The exercises are simple but instructive.

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. Defined positive matrices.
Chapter 7. Calculations with matrices.
Chapter 8. Linear Programming and Game Theory.
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