An introduction to nonlinear analysis

✍ Scribed by Martin Schechter

• Publisher: Cambridge University Press
• Year: 2004
• Tongue: English
• Leaves: 376
• Series: Cambridge Studies in Advanced Mathematics volume 95
• Category: Library

✦ Synopsis

The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background material as possible.

✦ Table of Contents

Contents......Page 8
Preface......Page 14
Extrema......Page 20
Critical points......Page 64
Boundary value problems......Page 106
Saddle points......Page 142
Calculus of variations......Page 164
Degree theory......Page 190
Conditional extrema......Page 226
Mini-max methods......Page 256
Jumping nonlinearities......Page 264
Higher dimensions......Page 272
Appendix A Concepts from functional analysis......Page 332
Appendix B Measure and integration......Page 350
Appendix C Metric spaces......Page 360
Appendix D Pseudo-gradients......Page 364
Bibliography......Page 372
Index......Page 374