Linear algebra: algorithms, applications and techniques [Libro electrónico] / Richard Bronson, Gabriel Costa, John T. Saccoman

Incluye índice: páginas 515-519

Linear Algebra, 3rd Edition.. PREFACE.. 1. Matrices.. 2. Vector spaces.. 3. Linear transformations.. 4. Eigenvalues, eigenvectors, and differential equations.. 5. Euclidean inner product.. Appendix A: Determinants.. Appendix B: Jordan canonical forms.. Appendix C: Markov chains.. Appendix D: The simplex method, an example.. Appendix E: A word on numerical techniques and technology.. Answers and hints to selected problems.. INDEX

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In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications. The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidean inner products, and Jordan canonical forms, offering possibilities that can be tailored to the instructors taste and to the length of the course. Bronsons approach to computation is modern and algorithmic, and his theory is clean and straightforward. Throughout, the views of the theory presented are broad and balanced and key material is highlighted in the text and summarized at the end of each chapter. The book also includes ample exercises with answers and hints. Prerequisite: One year of calculus is recommended. *Introduces deductive reasoning and helps the reader develop a facility with mathematical proofs. *Provides a balanced approach to computation and theory by offering computational algorithms for finding eigenvalues and eigenvectors. *Offers excellent exercise sets, ranging from drill to theoretical/challeging along with useful and interesting applications not found in other introductory linear algebra texts. eng

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