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Generalized Convexity and Optimization: Theory and Applications (Lecture Notes in Economics and Mathematical Systems, 616) - Softcover
Synopsis
The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions. The book also includes numerous exercises and two appendices which list the findings consulted.
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From the Back Cover
The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted.
"I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics department or in a professional school. The volume contains proofs and exercises. It also provides sufficient references for those who want to dig deeper as graduate students and as researchers. With dedication and much love the authors have produced a book that is accessible for anyone with a limited background in basic mathematics at the college level. At the same time, it also leads to more sophisticated mathematics for those who spend more time on a particular chapter."
From the Foreword, Siegfried Schaible, University of California, Riverside, USA
Review
From the reviews:
"The optimization of generalized convex functions plays an important role in many applications, especially in economics. The book gives an introduction to the theory and the application of such functions and their use in optimization. ... The book is self-contained and includes many exercises with solutions. I highly recommend this book to researchers and graduate students interested in optimization and their applications." (Walter Alt, Zentralblatt MATH, Vol. 1157, 2009)
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- PublisherSpringer
- Publication date2008
- ISBN 10 3540708758
- ISBN 13 9783540708759
- BindingPaperback
- LanguageEnglish
- Number of pages262
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Generalized Convexity and Optimization : Theory and Applications
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Generalized Convexity and Optimization: Theory and Applications (Lecture Notes in Economics and Mathematical Systems, 616)
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Generalized Convexity and Optimization
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted.'I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics department or in a professional school. The volume contains proofs and exercises. It also provides sufficient references for those who want to dig deeper as graduate students and as researchers. With dedication and much love the authors have produced a book that is accessible for anyone with a limited background in basic mathematics at the college level. At the same time, it also leads to more sophisticated mathematics for those who spend more time on a particular chapter.'From the Foreword, Siegfried Schaible, University of California, Riverside, USA 264 pp. Englisch. Seller Inventory # 9783540708759
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Generalized Convexity and Optimization : Theory and Applications
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ISBN 10: 3540708758
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The authors have written a rigorous yet elementary and self-contained book to present, in a unified framework, generalized convex functions, which are the many non-convex functions that share at least one of the valuable properties of convex functions and which are often more suitable for describing real-world problems. The book will be a useful tool not only for researchers, but also for graduates and advanced students working in economics, mathematical programming, the management sciences and operations research. It begins with a review of convex analysis and the fundamental theoretical findings on generalized convexity and on optimization, including their applications. The text continues with an introductory chapter devoted to generalized monotonicity and its relationship to generalized convexity, with the characterizations of important classes of fractional programming, and with theoretical properties and sequential methods. The book also includes numerous exercises and two appendices which list the findings consulted.'I can highly recommend this excellent new volume to anyone who is trying to teach on generalized convexity/generalized monotonicity in an applied mathematics department or in a professional school. The volume contains proofs and exercises. It also provides sufficient references for those who want to dig deeper as graduate students and as researchers. With dedication and much love the authors have produced a book that is accessible for anyone with a limited background in basic mathematics at the college level. At the same time, it also leads to more sophisticated mathematics for those who spend more time on a particular chapter.'From the Foreword, Siegfried Schaible, University of California, Riverside, USA. Seller Inventory # 9783540708759
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Generalized Convexity and Optimization
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ISBN 10: 3540708758
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unified framework of the most relevant resultsWith proofs, exercises and solutionsUseful tool for researchers as well as advanced studentsUnified framework of the most relevant resultsWith proofs, exercises and solutions. Seller Inventory # 4899063
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