Calculus Without Derivatives by Jean-Paul Penot
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations.“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 might be worth the investment.” (Russell Luke, SIAM Review, Vol. 57 (2), June, 2015)
“This very good book is an treatise on approximate calculus and justifies the author’s claim that the rules of this calculus are as important and useful as those for exact calculus. … The book is notable not only for its exposition but also for the notes at the end of each chapter explaining the historical and other relevant backgrounds of the material. There are many exercises throughout the book.” (Peter S. Bullen, Zentralblatt MATH, Vol. 1264, 2013)
“By collecting together a lot of results in nonsmooth analysis and presenting them in a coherent and accessible way, the author rendered a great service to the mathematical community. The book can be considered as an incentive for newcomers to enter this area of research … . The specialists will find also a lot of systematized information, and … the first three chapters can be used for independent graduate courses.” (S. Cobzaş¸ Studia Universitatis Babes-Bolyai, Mathematica, Vol. 58 (1), 2013)| SKU | Unavailable |
| ISBN 13 | 9781461445371 |
| ISBN 10 | 146144537X |
| Title | Calculus Without Derivatives |
| Author | Jean-Paul Penot |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 2012-11-09 |
| Number of pages | 524 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |