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Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series. Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum- maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools.
This text investigates the fundamental properties and applications of matrix analysis, serving as a foundational guide for students and researchers in mathematics and economics. Richard Bellman, a prominent mathematician, utilizes his expertise to synthesize complex matrix theories into a coherent framework. The book focuses on the intersection of symmetric matrices, differential equations, and probability theory, providing a rigorous mathematical basis for these interconnected fields.
What You Will Find
Scope Limits
Experts frequently cite this work as a classic foundational text that remains relevant for its clear, concise exposition of matrix theory. Readers often note the academic density of the prose, which requires a solid background in undergraduate mathematics to fully comprehend.
Page Count:
360
Publication Date:
1970-01-01
Publisher:
McGraw-Hill Companies, The
ISBN-10:
0070044163
ISBN-13:
9780070044166
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