Elementary Linear Algebra - Hardcover

Grossman, Stanley I.

Hardcover

ISBN 10: 0030973546 ISBN 13: 9780030973543

Publisher: Cengage Learning, 1980

Synopsis

Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provides more examples and exercises involving computations than competing texts.

About this title

Review:

1. Systems of Linear Equations and Matrices. 2. Determinants. 3. Vectors in R2 and R3. 4. Vector Spaces. 5. Linear Transformations. 6. Eigenvalues, Eigenvesors, And Canonical Forms. Appendix 1: Mathematical Induction. Appendix 2: Complex Numbers. Appendix 3: The Error in Numerical Computations and Computational Complexity. Appendix 4: Gaussian Elimination with Pivoting. Appendix 5: Using MATLAB.

Synopsis:

Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps, in a way students can understand, and provides more examples and exercises involving computations than competing texts. Features: * Chapter 1 covers systems of equations material before matrices, to build on student's previous knowledge. * Approximately 2,000 exercises, 400 examples, chapter summary outlines with page references, review exercises, and warnings support the text's student orientation. * The Summing-up Theorem appears as a recurring theme throughout the text to tie together seemingly disparate topics in the study of matrices and linear transformations. * A two-chapter supplement "Applications to Elementary Linear Algebra", contans material on linear programming and Markov Chains and Game Theory. It is avaialble packaged with the text or for separate purchase.

* Historical notes focus on the development of mathematics, featuring biogrpahical and topical essays on Carl Friedrich Gauss, Arthus Cayley and the Algebra of Matrices, and George Dantzig and the History (and future) of Linear Programming, to name a few.

About this edition

• Publisher: Cengage Learning
• Publication date: 1980
• ISBN 10: 0030973546
• ISBN 13: 9780030973543
• Binding: Hardcover
• Edition number: 5
• Number of pages: 784