Background
Bellman, Richard E was born on August 26, 1920 in New York City.
( An introduction to the mathematical theory of multistag...)
An introduction to the mathematical theory of multistage decision processes, this text takes a "functional equation" approach to the discovery of optimum policies. Written by a leading developer of such policies, it presents a series of methods, uniqueness and existence theorems, and examples for solving the relevant equations. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, strategies behind multistage games, and Markovian decision processes. Each chapter concludes with a problem set that Eric V. Denardo of Yale University, in his informative new introduction, calls "a rich lode of applications and research topics." 1957 edition. 37 figures.
http://www.amazon.com/gp/product/0486428095/?tag=2022091-20
( Suitable for advanced undergraduates and graduate stude...)
Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.
http://www.amazon.com/gp/product/0486462730/?tag=2022091-20
Bellman, Richard E was born on August 26, 1920 in New York City.
Bachelor, Brooklyn College, 1941. Master of Arts, University Wisconsin, 1943. Doctor of Philosophy, Princeton University, 1946.
D.sc. honorary, University Aberdeen, Scotland, 1973. Doctor of Laws honorary, University Southern California, 1974. D.Math., University Waterloo, Ontario, Canada, 1975.
Assistant professor mathematics Princeton University, 1946-1948. Associate professor mathematics Stanford University, California, 1948-1952. Mathematician Research and Development Corporation, Santa Monica, 1953-1965.
Professor mathematics, electrical engineering and medicine University Southern California, Los Angeles, since 1965. Visiting professor engineering University of California at Los Angeles, 1956.
( Suitable for advanced undergraduates and graduate stude...)
( An introduction to the mathematical theory of multistag...)
(Adaptive Control Processes: A Guided Tour, by Bellman, Ri...)
Fellow Society Mathematics Biology. Member National Academy Engineering, National Academy of Sciences.
Married Nina Day.