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Linear Algebra: An Introduction
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The first three chapters address the basics: matrices, vector spaces, and linear transformations. The next three cover eigenvalues, Euclidian inner products, and Jordan canonical forms, offering. Bronson's 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. Key material is highlighted in the end of each chapter. The book also includes ample exercises with answers and hints. With all the necessary features for professionals, teachers, and students.
. Introduces deductive reasoning and helps the student develop a familiarity with mathematical proofs
. Gives computational algorithms for fi nding Eigenvalues and Eigenvectors
. A balanced approach to computation and theory
. Exercise sets ranging from basic drill to theoretical / challenging
. Useful and interesting applications in other introductory linear algebra texts
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 THE NUMERICAL TECHNIQUES AND TECHNOLOGY, ANSWERS AND HINTS TO SELECTED PROBLEMS, INDEX
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