Calculus Without Derivatives

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Calculus Without Derivatives by Jean-Paul Penot, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jean-Paul Penot ISBN: 9781461445388
Publisher: Springer New York Publication: November 9, 2012
Imprint: Springer Language: English
Author: Jean-Paul Penot
ISBN: 9781461445388
Publisher: Springer New York
Publication: November 9, 2012
Imprint: Springer
Language: English

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 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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 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.

More books from Springer New York

Cover of the book Pediatric Orthopedics by Jean-Paul Penot
Cover of the book School-Parent Collaborations in Indigenous Communities by Jean-Paul Penot
Cover of the book Case Studies in Service Innovation by Jean-Paul Penot
Cover of the book Radiation Therapy for Pelvic Malignancy and its Consequences by Jean-Paul Penot
Cover of the book Peripheral Endovascular Interventions by Jean-Paul Penot
Cover of the book Mental Wellness Programs for Employees by Jean-Paul Penot
Cover of the book Mobile Phone Security and Forensics by Jean-Paul Penot
Cover of the book Global Perspectives on Social Capital and Health by Jean-Paul Penot
Cover of the book Statistical Methods for Ranking Data by Jean-Paul Penot
Cover of the book Phenotyping for Plant Breeding by Jean-Paul Penot
Cover of the book Ricci Flow for Shape Analysis and Surface Registration by Jean-Paul Penot
Cover of the book Jatropha, Challenges for a New Energy Crop by Jean-Paul Penot
Cover of the book Oncologic Emergencies by Jean-Paul Penot
Cover of the book The Engineering Approach to Winter Sports by Jean-Paul Penot
Cover of the book Polycystic Ovary Syndrome by Jean-Paul Penot
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy