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Jean-Paul Penot - Calculus without Derivatives - 9781461445371 - V9781461445371
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Calculus without Derivatives

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Description for Calculus without Derivatives Hardback. 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. Series: Graduate Texts in Mathematics. Num Pages: 544 pages, black & white illustrations, bibliography. BIC Classification: GPFC; PBK; PBKB; PBKF; PBU; PBW. Category: (P) Professional & Vocational. Dimension: 240 x 165 x 36. Weight in Grams: 972.

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 problems.  Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. 

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 ... Read more

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Product Details

Publication date
Springer-Verlag New York Inc. United States
Graduate Texts in Mathematics
Number of Pages
Place of Publication
New York, NY, United States
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Usually ships in 4 to 8 working days

About Jean-Paul Penot
Jean-Paul Penot is an Emeritus Professor at Université Paris 6.  He has taught in Paris, Pau and Canada.

Reviews for Calculus without Derivatives
“The book collects three different branches of analysis: differential calculus, convex analysis, and nonsmooth analysis. … What makes Penot’s work stand out is his path through the material and the clean and scholarly presentation. It is well suited for individual study or a classroom … . As preparation for the rough road ahead of us in the coming decades, it ... Read more

Goodreads reviews for Calculus without Derivatives

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