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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Calculus Without Derivatives (Hardcover, 2013 ed.)
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Calculus Without Derivatives (Hardcover, 2013 ed.)
Series: Graduate Texts in Mathematics, 266
Expected to ship within 9 - 15 working days
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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.
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