Calculus Without Derivatives
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Author
Publication
2014-12-13 - Springer
Word Count
131,000 words, Guess
Page Count
524 pages
Physical Format
Paperback
Identifiers
- ISBN-101489989420
- ISBN-139781489989420
- Better World Books9781489989420
- Open LibraryOL28735332M
Classifications
- LCCQA299.6-433QA331.5QA
Description
<p><i>Calculus Without Derivatives</i> 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 problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. </p><p>In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.</p>
Subjects
Other Editions
- Calculus Without Derivatives
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