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An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publisher : Academic Press
  • Release : 26 November 2013
GET THIS BOOKAn Introduction to Nonsmooth Analysis

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

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An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publisher : Anonim
  • Release : 26 November 2013
GET THIS BOOKAn Introduction to Nonsmooth Analysis

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

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Introduction to Nonsmooth Optimization

Introduction to Nonsmooth Optimization
  • Author : Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
  • Publisher : Springer
  • Release : 12 August 2014
GET THIS BOOKIntroduction to Nonsmooth Optimization

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 chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized

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An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory
  • Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKAn Introduction to Nonlinear Analysis: Theory

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 ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space

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Regularity Concepts in Nonsmooth Analysis

Regularity Concepts in Nonsmooth Analysis
  • Author : Messaoud Bounkhel
  • Publisher : Springer Science & Business Media
  • Release : 12 November 2011
GET THIS BOOKRegularity Concepts in Nonsmooth Analysis

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 the book attempts to present an accessible and thorough introduction to nonsmooth analysis theory. Main concepts and some useful results are stated and illustrated through examples and exercises. The second

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Nonsmooth Optimization

Nonsmooth Optimization
  • Author : Marko M Mäkelä,Pekka Neittaanmäki
  • Publisher : World Scientific
  • Release : 07 May 1992
GET THIS BOOKNonsmooth Optimization

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from

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Introduction to Functional Analysis

Introduction to Functional Analysis
  • Author : Christian Clason
  • Publisher : Springer Nature
  • Release : 30 November 2020
GET THIS BOOKIntroduction to Functional Analysis

Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert

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An Easy Path to Convex Analysis and Applications

An Easy Path to Convex Analysis and Applications
  • Author : Boris S. Mordukhovich,Nguyen Mau Nam
  • Publisher : Morgan & Claypool Publishers
  • Release : 01 December 2013
GET THIS BOOKAn Easy Path to Convex Analysis and Applications

Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical f

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Nonsmooth Analysis and Control Theory

Nonsmooth Analysis and Control Theory
  • Author : Francis H. Clarke,Yuri S. Ledyaev,Ronald J. Stern,Peter R. Wolenski
  • Publisher : Springer Science & Business Media
  • Release : 10 January 2008
GET THIS BOOKNonsmooth Analysis and Control Theory

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 and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control

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Nonsmooth Analysis

Nonsmooth Analysis
  • Author : Winfried Schirotzek
  • Publisher : Springer Science & Business Media
  • Release : 26 May 2007
GET THIS BOOKNonsmooth Analysis

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 tools are presented where they are needed: this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. Each chapter ends with bibliographic notes and

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An Introduction to Riemann-Finsler Geometry

An Introduction to Riemann-Finsler Geometry
  • Author : D. Bao,S.-S. Chern,Z. Shen
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKAn Introduction to Riemann-Finsler Geometry

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.

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An Introduction to the Theory of Groups

An Introduction to the Theory of Groups
  • Author : Joseph J. Rotman
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKAn Introduction to the Theory of Groups

Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS

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An Introduction to Operators on the Hardy-Hilbert Space

An Introduction to Operators on the Hardy-Hilbert Space
  • Author : Ruben A. Martinez-Avendano,Peter Rosenthal
  • Publisher : Springer Science & Business Media
  • Release : 12 March 2007
GET THIS BOOKAn Introduction to Operators on the Hardy-Hilbert Space

This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques from "soft" and "hard" analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.

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Optima and Equilibria

Optima and Equilibria
  • Author : Jean-Pierre Aubin
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOKOptima and Equilibria

Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics,

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