Since the elassie work on inequalities by HARDY, LITTLEWOOD, and P6LYA in 1934, an enonnous amount of effort has been devoted to the sharpening and extension of the elassieal inequalities, to the discovery of new                             types of inequalities, and to the application of inqualities in many parts of analysis. As examples, let us eite the fields of ordinary and partial differential equations, whieh are dominated by inequalities and variational                             prineiples involving functions and their derivatives; the many applications of linear inequalities to game theory and mathe matieal economics, which have triggered a renewed interest in con vexity and moment-space theory;                             and the growing uses of digital com puters, which have given impetus to a systematie study of error esti mates involving much sophisticated matrix theory and operator theory. The results presented in the following pages                             reflect to some extent these ramifications of inequalities into contiguous regions of analysis, but to a greater extent our concem is with inequalities in their native habitat. Since it is elearly impossible to give a                             connected account of the burst of analytic activity of the last twenty-five years centering about inequalities, we have d. eeided to limit our attention to those topies that have particularly delighted and intrigued us, and to                             the study of whieh we have contributed.

Inequalities (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete)

Science & Math

Richard E. Bellman

Edwin F.

Bellman R. Beckenbach

Mathematics

Springer, Verlag

<p>Artificial Intelligence: Can Computers Think?</p>

An Introduction to Artificial Intelligence: Can Computers Think?

Computers & Technology

Boyd and Fraser Publishing Company

Artificial Intelligence

Computer Science

Course Technology, Incorporated

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, Kronecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools.

Introduction to Matrix Analysis (Classics in Applied Mathematics, Vol 12)

Society for Industrial & Applied Mathematics

Inequalities (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge)

R. Bellman Edwin F. Beckenbach

Springer

Quasilinearization and the identification problem (Series in modern applied mathematics)

Robert S. Roth

World Scientific

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Books by Richard E. Bellman