Methods of Nonlinear Analysis
โ Scribed by Richard Bellman (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1973
- Leaves
- 268
- Series
- Mathematics in Science and Engineering 61, Part 2
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Edited by
Page iii
Copyright Page
Page iv
Dedication
Page v
Preface
Pages vii-x
Richard Bellman
Chapter 9 Upper and Lower Bounds via Duality
Pages 1-20
Chapter 10 Caplygin's Method and Differential Inequalities
Pages 21-49
Chapter 11 Quasilinearization
Pages 50-74
Chapter 12 Dynamic Programming
Pages 75-115
Chapter 13 Invariant Imbedding
Pages 116-154
Chapter 14 The Theory of Iteration
Pages 155-190
Chapter 15 Infinite Systems of Ordinary Differential Equations and Truncation
Pages 191-220
Chapter 16 Integral and Differential Quadrature
Pages 221-254
Author Index
Pages 255-258
Subject Index
Pages 259-261
๐ SIMILAR VOLUMES
The demands of modern science inexorably force the mathematician to explore the nonlinear world. That it is a difficult and often humbling journey with painfully crude maps and rather primitive direction-finders cannot be gainsaid, but in return it can be asserted that it is richly rewarding. The fe
This is the second of two volumes written to introduce the reader to some of the theories and methods which enable us to penetrate carefully and timorously into the nonlinear domain. Fortunately, we have no choice: the only direction is forward. In Volume I we focused on the basic concepts of stabil
The methods we deal with in the present book originated long ago. They date back to Kronecker, Poincare, Brouwer, and Hopf who developed the topological theory of continuous mappings in finite dimensional spaces. A second stream of ideas originated from the investigations of Birkhoff and Kellogg