Methods of Nonlinear Analysis
โ Scribed by Richard Bellman (Eds.)
- Publisher
- Academic Press, Elsevier
- Year
- 1970
- Leaves
- 350
- Series
- Mathematics in Science and Engineering 61, Part 1
- 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-xiv
Richard Bellman
Chapter 1 First-and Second-order Differential Equations
Pages 1-53
Chapter 2 Matrix Theory
Pages 54-103
Chapter 3 Matrices and Linear Differential Equations
Pages 104-133
Chapter 4 Stability Theory and Related Questions
Pages 134-186
Chapter 5 The Bubnov-Galerkin Method
Pages 187-224
Chapter 6 Differential Approximation
Pages 225-258
Chapter 7 The Rayleigh-Ritz Method
Pages 259-303
Chapter 8 Sturm-Liouville Theory
Pages 304-330
Author Index
Pages 331-335
Subject Index
Pages 337-340
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