Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization proble
Calculus without derivatives
โ Scribed by Jean-Paul Penot (auth.)
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Leaves
- 524
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xx
Metric and Topological Tools....Pages 1-115
Elements of Differential Calculus....Pages 117-186
Elements of Convex Analysis....Pages 187-261
Elementary and Viscosity Subdifferentials....Pages 263-356
Circa-Subdifferentials, Clarke Subdifferentials....Pages 357-405
Limiting Subdifferentials....Pages 407-462
Graded Subdifferentials, Ioffe Subdifferentials....Pages 463-478
Back Matter....Pages 479-524
โฆ Subjects
Applications of Mathematics
๐ SIMILAR VOLUMES
Metric and topological tools -- Elements of differential calculus -- Elements of convex analysis -- Elementary and viscosity subdifferentials -- Circa-subdifferentials, Clarke subdifferentials -- Limiting subdifferentials -- Graded subdifferentials, Ioffe subdifferentials
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.
<span style="font-size: 14px;">This book on the basics of Calculus introduces the main concept of the derivative through a short fairy tale and then gets into the calculations. It helps build the conceptual understanding first, and then gets into the details of problem solving.ย </span><br style="fon
<p>How THIS BOOK DIFFERS This book is about the calculus. What distinguishes it, however, from other books is that it uses the pocket calculator to illustrate the theory. A computation that requires hours of labor when done by hand with tables is quite inappropriate as an example or exercise in a be