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Linear Algebra and Its Applications by Strang Strang (2005, Hardcover)

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It is an INTERNATIONAL Softcover edition. Different ISBN and Cover design from US edition. Books are printed in Black & White color on low quality papers.

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Product Identifiers

PublisherBrooks/Cole

ISBN-100030105676

ISBN-139780030105678

eBay Product ID (ePID)15436

Product Key Features

Number of Pages544 Pages

Publication NameLinear Algebra and Its Applications

LanguageEnglish

Publication Year2005

SubjectAlgebra / Linear, General, Calculus

FeaturesRevised

TypeTextbook

AuthorStrang Strang

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height9.2 in

Item Weight32 Oz

Item Length0.7 in

Item Width7.4 in

Additional Product Features

Edition Number4

Intended AudienceCollege Audience

LCCN2005-923623

IllustratedYes

Table Of Content1. MATRICES AND GAUSSIAN ELIMINATION.Introduction. The Geometry of Linear Equations. An Example of Gaussian Elimination. Matrix Notation and Matrix Multiplication. Triangular Factors and Row Exchanges. Inverses and Transposes. Special Matrices and Applications. Review Exercises.2. VECTOR SPACES.Vector Spaces and Subspaces. The Solution of m Equations in n Unknowns. Linear Independence, Basis, and Dimension. The Four Fundamental Subspaces. Networks and Incidence Matrices. Linear Transformations. Review Exercises.3. ORTHOGONALITY.Perpendicular Vectors and Orthogonal Subspaces. Inner Products and Projections onto Lines. Least Squares Approximations. Orthogonal Bases, Orthogonal Matrices, and Gram-Schmidt Orthogonalization. The Fast Fourier Transform. Review and Preview. Review Exercises.4. DETERMINANTS.Introduction. Properties of the Determinant. Formulas for the Determinant. Applications of Determinants. Review Exercises.5. EIGENVALUES AND EIGENVECTORS.Introduction. Diagonalization of a Matrix. Difference Equations and the Powers Ak. Differential Equations and the Exponential eAt. Complex Matrices: Symmetric vs. Hermitian. Similarity Transformations. Review Exercises.6. POSITIVE DEFINITE MATRICES.Minima, Maxima, and Saddle Points. Tests for Positive Definiteness. The Singular Value Decomposition. Minimum Principles. The Finite Element Method.7. COMPUTATIONS WITH MATRICES.Introduction. The Norm and Condition Number. The Computation of Eigenvalues. Iterative Methods for Ax = b.8. LINEAR PROGRAMMING AND GAME THEORY.Linear Inequalities. The Simplex Method. Primal and Dual Programs. Network Models. Game Theory.Appendix A: Computer Graphics.Appendix B: The Jordan Form.References.Solutions to Selected Exercises.Index.

Edition DescriptionRevised edition

SynopsisRenowned 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.

LC Classification NumberQA184