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.

zlib/Mathematics/Algebra/Gilbert Strang/Linear Algebra and Its Applications, 4th edition_23814015.epub

LINEAR ALGEBRA AND ITS APPLICATIONS FOURTH EDITION

Harcourt Health Sciences Group

Cengage Learning India Pvt Ltd

Holt, Rinehart & Winston

Thomson, Brooks/Cole

Dryden Press

Brooks Cole

4. ed., internat. student ed, Belmont, Calif, 2006

United States, United States of America

Fourth edition, Delhi, 2014

4th edition, July 19, 2005

4th ed, Belmont, CA, 2006

Fourth Edition, US, 2006

4th Indian, 2005-11-17

India, India

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Bookmarks: p1 (p1): Chapter 1 MATRICES AND GAUSSIAN ELIMINATION
p1-1 (p1): 1.1 Introduction
p1-2 (p3): 1.2 The Geometry of Linear Equations
p1-3 (p11): 1.3 An Example of Gaussian Elimination
p1-4 (p19): 1.4 Matrix Notation and Matrix Multiplication
p1-5 (p32): 1.5 Triangular Factors and Row Exchanges
p1-6 (p45): 1.6 Inverses and Transposes
p1-7 (p58): 1.7 Special Matrices and Applications
p1-8 (p65): Review Exercises: Chapter 1
p2 (p69): Chapter 2 VECTOR SPACES
p2-1 (p69): 2.1 Vector Spaces and Subspaces
p2-2 (p77): 2.2 Solving Ax = 0 and Ax = b
p2-3 (p92): 2.3 Linear Independence, Basis, and Dimension
p2-4 (p102): 2.4 The Four Fundamental Subspaces
p2-5 (p114): 2.5 Graphs and Networks
p2-6 (p125): 2.6 Linear Transformations
p2-7 (p137): Review Exercises: Chapter 2
p3 (p141): Chapter 3 ORTHOGONALITY
p3-1 (p141): 3.1 Orthogonal Vectors and Subspaces
p3-2 (p152): 3.2 Cosines and Projections onto Lines
p3-3 (p160): 3.3 Projections and Least Squares
p3-4 (p174): 3.4 Orthogonal Bases and Gram-Schmidt
p3-5 (p188): 3.5 The Fast Fourier Transform
p3-6 (p198): Review Exercises: Chapter 3
p4 (p201): Chapter 4 DETERMINANTS
p4-1 (p201): 4.1 Introduction
p4-2 (p203): 4.2 Properties of the Determinant
p4-3 (p210): 4.3 Formulas for the Determinant
p4-4 (p220): 4.4 Applications of Determinants
p4-5 (p230): Review Exercises: Chapter 4
p5 (p233): Chapter 5 EIGENVALUES AND EIGENVECTORS
p5-1 (p233): 5.1 Introduction
p5-2 (p245): 5.2 Diagonalization of a Matrix
p5-3 (p254): 5.3 Difference Equations and Powers Ak
p5-4 (p266): 5.4 Differential Equations and eAt
p5-5 (p280): 5.5 Complex Matrices
p5-6 (p293): 5.6 Similarity Transformations
p5-7 (p307): Review Exercises: Chapter 5
p6 (p311): Chapter 6 POSITIVE DEFINITE MATRICES
p6-1 (p311): 6.1 Minima, Maxima, and Saddle Points
p6-2 (p318): 6.2 Tests for Positive Definiteness
p6-3 (p331): 6.3 Singular Value Decomposition
p6-4 (p339): 6.4 Minimum Principles
p6-5 (p346): 6.5 The Finite Element Method
p7 (p351): Chapter 7 COMPUTATIONS WITH MATRICES
p7-1 (p351): 7.1 Introduction
p7-2 (p352): 7.2 Matrix Norm and Condition Number
p7-3 (p359): 7.3 Computation of Eigenvalues
p7-4 (p367): 7.4 Iterative Methods for Ax = b
p8 (p377): Chapter 8 LINEAR PROGRAMMING AND GAME THEORY
p8-1 (p377): 8.1 Linear Inequalities
p8-2 (p382): 8.2 The Simplex Method
p8-3 (p392): 8.3 The Dual Problem
p8-4 (p401): 8.4 Network Models
p8-5 (p408): 8.5 Game Theory
p9 (p415): Appendix A INTERSECTION, SUM, AND PRODUCT OF SPACES
p10 (p422): Appendix B THE JORDAN FORM
p10-1 (p428): Solutions to Selected Exercises
p10-2 (p474): Matrix Factorizations
p10-3 (p476): Glossary
p10-4 (p481): MATLAB Teaching Codes
p10-5 (p482): Index
p10-6 (p488): Linear Algebra in a Nutshell

"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."-- Amazon.com

Demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. Emphasizing on understanding, this book provides an introduction to vector spaces. The theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.

This text combines the underlying theory discussions with examples from electrical engineering, computer science, physics, biology, and economics.

Demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. This book explains concepts, rather than deduces.

2023-01-31