9
Statistical Methods and Computing Textbook
Matrix Analysis
Causality, Probability, and Time
Second edition Roger A. Horn
Samantha Kleinberg
University of Utah
This book presents a new approach to causal inference (finding relationships from a set of data) and explanation (assessing why a particular event occurred), addressing both the timing and complexity of relationships. The practical use of the method developed is illustrated through theoretical and experimental case studies, demonstrating its feasibility and success.
and Charles R. Johnson
The thoroughly revised and updated second edition of this acclaimed text for a second course on linear algebra has more than 1,100 problems and exercises, along with new sections on the singular value and CS decompositions and the Weyr canonical form, expanded treatments of inverse problems and of block matrices and much more. Contents: 1. Eigenvalues, eigenvectors, and similarity; 2. Unitary similarity and unitary equivalence; 3. Canonical forms for similarity, and triangular factorizations; 4. Hermitian matrices, symmetric matrices, and congruences; 5. Norms for vectors and matrices; 6. Location and perturbation of eigenvalues; 7. Positive definite and semi-definite matrices; 8. Positive and nonnegative matrices; Appendix A. Complex numbers; Appendix B. Convex sets and functions; Appendix C. The fundamental theorem of algebra; Appendix D. Continuous dependence of the zeroes of a polynomial on its coefficients; Appendix E. Continuity, compactness, and Weierstrass’s theorem; Appendix F. Canonical pairs.
Stevens Institute of Technology, New Jersey
2013 234 x 156 mm 265pp 33 b/w illus. 6 tables 978-1-107-02648-3 Hardback £65.00 For all formats available, see
www.cambridge.org/9781107026483
2012 253 x 177 mm 658pp 1175 exercises 978-0-521-83940-2 Hardback £80.00 978-0-521-54823-6 Paperback £35.00 For all formats available, see
www.cambridge.org/9780521839402
eBooks available at www.cambridge.org/ebookstore