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 instructor's taste and to the length of the course. 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 and key material is highlighted in the text and summarized at the end of each chapter.
頁數:536
版次:第3版
年份:2014年
規格:平裝/雙色
ISBN:9789866052729
1. MATRICES
2. VECTOR SPACES
3. LINEAR TRANSFORMATIONS
4. EIGENVALUES, EIGENVECTORS, AND DIFFERENTIAL EQUATIONS
5. APPLICAIONS OF EIGENVALUES
6. EUCLIDEAN INNER PRODUCT
APPENDIX A: JORDAN CANONICAL FORMS
APPENDIX B: MARKOV CHAINS
APPENDIX C: MORE ON SPANNING TREES OF GRAPHS
APPENDIX D: TECHNOLOGY
APPENDIX E: MATHEMATICAL INDUCTION