Calculus without derivatives

✍ Scribed by Penot, Jean-Paul

Publisher: Springer
Year: 2012;2013
Tongue: English
Leaves: 541
Series: Graduate texts in mathematics 266
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Here is a wide-ranging introduction to the foundations of nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. Covers recent progress and methods of implementation, especially in optimization problems.

✦ Table of Contents

Calculus Without Derivatives......Page 4
Preface......Page 8
Contents......Page 14
Notation......Page 20
Chapter 1 Metric and Topological Tools......Page 22
Chapter 2 Elements of Differential Calculus......Page 137
Chapter 3 Elements of Convex Analysis......Page 207
Chapter 4 Elementary and Viscosity Subdifferentials......Page 282
Chapter 5 Circa-Subdifferentials, Clarke Subdifferentials......Page 376
Chapter 6 Limiting Subdifferentials......Page 425
Chapter 7 Graded Subdifferentials, Ioffe Subdifferentials......Page 481
References......Page 497
Index......Page 536

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