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.
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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John C. Sparks is a senior staff engineer at Wright-Patterson Air Force Base in Dayton, Ohio with approximately thirty-one years of engineering and management experience. In addition to his Air...
Derivative is a contemplation on the role of time in shaping our conceptions of society and ourselves. This collection of poems considers the inner need to form meaning, the conditioned drive of...
Der Erfolg eines Portfolios fußt auf die eingesetzten derivativen Instrumente und Investitionsstrategien. Mit dem Buch sollen die obigen Instrumente, deren Einsatz und Umsetzung in der Praxis des...
Derivations draws together some of the most influential work of one of the world's leading syntactitians, Juan Uriagekera. These essays provide several empirical analyses and technical solutions...
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