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- An Introduction to Nonsmooth Analysis

- Author : Juan Ferrera
- Publsiher : Unknown
- Release : 26 November 2013
- ISBN : 9780128007310
- Pages : 164 pages
- Rating : 4/5 from 21 reviews

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Read or download book entitled An Introduction to Nonsmooth Analysis written by Juan Ferrera which was release on 26 November 2013, this book published by Unknown. Available in PDF, EPUB and Kindle Format. Book excerpt: Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of sub and super differentials as well as generalized gradients Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems Content is introduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books

- Author : Juan Ferrera
- Publisher : Unknown
- Release Date : 2013-11-26
- Total pages : 164
- ISBN : 9780128007310

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**Summary :** Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of ...

- Author : Juan Ferrera
- Publisher : Academic Press
- Release Date : 2013-11-26
- Total pages : 164
- ISBN : 9780128007310

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**Summary :** Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of ...

- Author : Winfried Schirotzek
- Publisher : Springer Science & Business Media
- Release Date : 2007-05-26
- Total pages : 378
- ISBN : 9780128007310

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**Summary :** This book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and then presents subdifferentials for general lower semicontinuous functions. All basic ...

- Author : Zdzisław Denkowski,Stanisław Migórski,Nikolaos Socrates Papageorgiou
- Publisher : Springer Science & Business Media
- Release Date : 2003
- Total pages : 823
- ISBN : 9780128007310

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**Summary :** An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ...

- Author : Messaoud Bounkhel
- Publisher : Springer Science & Business Media
- Release Date : 2011-11-12
- Total pages : 264
- ISBN : 9780128007310

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**Summary :** The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. In this light, this work encompasses the most recent collection of various concepts of regularity and nonsmooth analysis into one monograph. The first part of ...

- Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
- Publisher : Springer Science & Business Media
- Release Date : 2013-12-01
- Total pages : 689
- ISBN : 9780128007310

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**Summary :** An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ...

- Author : Vladimir Shikhman
- Publisher : Springer Science & Business Media
- Release Date : 2011-11-18
- Total pages : 196
- ISBN : 9780128007310

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**Summary :** This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, ...

- Author : Francis H. Clarke,Yuri S. Ledyaev,Ronald J. Stern,Peter R. Wolenski
- Publisher : Springer Science & Business Media
- Release Date : 1997-12-19
- Total pages : 278
- ISBN : 9780128007310

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**Summary :** A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent ...

- Author : Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
- Publisher : Springer
- Release Date : 2014-08-12
- Total pages : 372
- ISBN : 9780128007310

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**Summary :** This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational ...

- Author : Marko M. Mäkelä,Pekka Neittaanmäki
- Publisher : World Scientific Publishing Company Incorporated
- Release Date : 1992-01-01
- Total pages : 254
- ISBN : 9780128007310

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**Summary :** Introduces various methods for nonsmooth optimization and applies these methods to solve discretized nonsmooth optimal control problems of systems governed by boundary value problems. Annotation copyrighted by Book News, Inc., Portland, OR...

- Author : Philip Daniel Loewen
- Publisher : American Mathematical Soc.
- Release Date : 1993
- Total pages : 153
- ISBN : 9780128007310

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**Summary :** This book provides a complete and unified treatment of deterministic problems of dynamic optimization, from the classical themes of the calculus of variations to the forefront of modern research in optimal control. At the heart of the presentation is nonsmooth analysis, a theory of local approximation developed over the last ...

- Author : Frank H. Clarke
- Publisher : Society for Industrial and Applied Mathematics
- Release Date : 1987-01-01
- Total pages : 320
- ISBN : 9780128007310

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**Summary :** Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together ...

- Author : Nicola Gigli,Enrico Pasqualetto
- Publisher : Springer Nature
- Release Date : 2020-02-10
- Total pages : 204
- ISBN : 9780128007310

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**Summary :** This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a ...

- Author : Nikolaos S. Papageorgiou,Patrick Winkert
- Publisher : Walter de Gruyter GmbH & Co KG
- Release Date : 2018-08-06
- Total pages : 622
- ISBN : 9780128007310

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**Summary :** The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or ...

- Author : Paul Glendinning,Mike R. Jeffrey
- Publisher : Springer Nature
- Release Date : 2019-10-21
- Total pages : 129
- ISBN : 9780128007310

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**Summary :** This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader ...