Richard Bellman

This is a very frank and detailed account by a leading and very active mathematician of the past decades whose contributions have had an important impact in those fields where mathematics is now an integral part. It starts from his early childhood just after the First World War to his present-day positions as professor of mathematics, electrical engineering and medicine at the USC, which in itself reflects on the diversity of interests and experiences gained through the turbulent years when American mathematics and sciences established themselves on the forefront. The story traces the tortuous path Bellman followed from Brooklyn College; the University of Wisconsin to Princeton during the war years; more than a decade with the RAND Corporation; with frequent views of more than just the academic circles, including his experiences at Los Alamos on the A-bomb project. Bellman gives highly personalised views of key personalities in mathematics, physics and other areas, and his motivations and the forces that helped shape dynamic programming and other new areas which emerged as consequences of fruitful applications of mathematics.

An Autobiography

Eye of the Hurricane

John Wilkinson

Roger Garaudy

A Social and Historical Analysis

The Dynamic Programming of Human Systems

Oliver Gross

Irving Glicksberg

Let S be a physical system whose state at any time is described by an n-dimensional vector x(t), where x(t) is determined by a linear differential equation Z = Az, with A a constant matrix. Application of external influences will yield an inhomogeneous equation, Z = Az + f, where f, the 'forcing term', represents the control. A problem of some importance in the theory of control circuits is that of choosing f so as to reduce z to 0 in minimum time. If f is restricted to belong to the class of vectors whose i(th) components can assume only the values =b sub i, the control is said to be of the 'bang-bang' type. The case where all the solutions of Z = Az approach zero as t approaches infinity is considered.

On the "bang-bang" Control Problem

Robert Kalaba

Dynamic Programming and Modern Control Theory

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Ask for More

Stochastic Processes in Mathematical Physics and Engineering

On the Boundness of Solutions of Nonlinear Differential and Difference Equations

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. In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included.

Second Edition

Introduction to Matrix Analysis

National Science Foundation (U.S.)

University of Southern California

U.S. Atomic Energy Commission. Division of Research

An Essay on Large Systems

On the Growing Pains of Giants

This is a very frank and detailed account by a leading and very active mathematician of the past decades whose contributions have had an important impact in those fields where mathematics is now an integral part. It starts from his early childhood just after the First World War to his present-day positions as professor of mathematics, electrical engineering and medicine at the USC, which in itself reflects on the diversity of interests and experiences gained through the turbulent years when American mathematics and sciences established themselves on the forefront. The story traces the tortuous path Bellman followed from Brooklyn College; the University of Wisconsin to Princeton during the war years; more than a decade with the RAND Corporation; with frequent views of more than just the academic circles, including his experiences at Los Alamos on the A-bomb project. Bellman gives highly personalised views of key personalities in mathematics, physics and other areas, and his motivations and the forces that helped shape dynamic programming and other new areas which emerged as consequences of fruitful applications of mathematics. Readership: All.

Can Computers Think?

An Introduction to Artificial Intelligence

Scott J. Moses

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