#### Access Type

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#### Files

Download Full Text (2.2 MB)

#### Description

Rapid advances in the physical and biological sciences and in related technologies have brought about equally far-reaching changes in mathematical research. Focusing on control theory, invariant imbedding, dynamic programming, and quasilinearization, Mr. Bellman explores with ease and clarity the mathematical research problems arising from scientific questions in engineering, physics, biology, and medicine. Special attention is paid in these essays to the use of the digital computer in obtaining the numerical solution of numerical problems, its influence in the formulation of new and old scientific problems in new terms, and to some of the effects of the computer revolution on educational and social systems. The new opportunities for mathematical research presage, Bellman concludes, a renaissance of mathematics in human affairs by involving it closely in the problems of society.

**Richard Bellman** is a professor of mathematics, electrical engineering, and medicine at the University of Southern California.

#### Publication Date

1968

#### Publisher

The University Press of Kentucky

#### Place of Publication

Lexington, KY

#### ISBN

9780813151205

#### eISBN

9780813162072

#### Keywords

Programming, Invariant imbedding, Biomathematics

#### Disciplines

Mathematics

#### Recommended Citation

Bellman, Richard, "Some Vistas of Modern Mathematics: Dynamic Programming, Invariant Imbedding, and the Mathematical Biosciences" (1968). *Mathematics*. 1.

https://uknowledge.uky.edu/upk_mathematics/1