Linear Algebra and Its Applications, 4th Edition by Gilbert Strang

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Características del artículo

Estado
En buen estado: Libro que se ha leído pero que está en buen estado. Daños mínimos en la tapa, ...
Book Title
Linear Algebra and Its Applications, 4th Edition
ISBN
9780030105678
Categoría

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Product Identifiers

Publisher
Brooks/Cole
ISBN-10
0030105676
ISBN-13
9780030105678
eBay Product ID (ePID)
15436

Product Key Features

Number of Pages
544 Pages
Language
English
Publication Name
Linear Algebra and Its Applications
Subject
Algebra / Linear, General, Calculus
Publication Year
2005
Features
Revised
Type
Textbook
Subject Area
Mathematics
Author
Strang Strang
Format
Hardcover

Dimensions

Item Height
9.2 in
Item Weight
32 Oz
Item Length
0.7 in
Item Width
7.4 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2005-923623
Illustrated
Yes
Edition Description
Revised edition
Table Of Content
1. 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.
Synopsis
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.
LC Classification Number
QA184

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