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基本説明
A hands-on textbook with exercises that teaches the methodology of matrices to undergraduate and graduate non-scientific, scientific and engineering students. Applications like Markov chains, graph theory and Leontief models are placed in early chapters. New chapters on Linear Programming and Markov Chains.
Full Description
Matrix Methodsprovides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems.
Contents
Chapter 1Chapter 2: Simultaneous Linear Equations Chapter 3: The Inverse Chapter 4: Linear Programming Chapter 5: Determinants Chapter 6: Eigenvalues and Eigenvectors Chapter 7: Matrix Calculus Chapter 8: Linear Differential Equations Chapter 9: Markov Chains Chapter 10: Real Inner Products and Least Squares Appendix: Computational Tools and technology