Calculus without derivatives

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...

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Hlavní autor: Penot, Jean-Paul, 1942-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: New York, NY : Springer New York [20..].
Cham : Springer Nature
Vydání:1st ed. 2013.
Edice:Graduate Texts in Mathematics 266
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Poznámka: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Calculus without derivatives, Jean-Paul Penot, 2013, New York [etc.], Springer, 1 vol. (XX-524 p.), Graduate texts in mathematics, 978-1-461-44537-1
• Calculus Without Derivatives, Texte imprimé, 9781461445395
• Calculus Without Derivatives, Texte imprimé, 9781489989420
• Calculus without derivatives, Jean-Paul Penot, 2013, New York [etc.], Springer, 1 vol. (XX-524 p.), Graduate texts in mathematics, 978-1-461-44537-1
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Shrnutí: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
Popis jednotky:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9781461445388
ISSN:2197-5612
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