An Easy Path to Convex Analysis and Applications (Synthesis Lectures on Mathematics & Statistics) - Hardcover

Buch 48 von 72: Synthesis Lectures on Mathematics & Statistics

Mordukhovich, Boris; Nam, Nguyen Mau

 
9783031264573: An Easy Path to Convex Analysis and Applications (Synthesis Lectures on Mathematics & Statistics)
Hardcover
ISBN 10: 3031264576 ISBN 13: 9783031264573
Verlag: Springer, 2023

Inhaltsangabe

This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.

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Über die Autorin bzw. den Autor

Boris Mordukhovich, PhD, is Distinguished University Professor of Mathematics at Wayne State University. He has more than 500 publications including several monographs. Among his best known achievements are the introduction and development of powerful constructions of generalized differentiation and their applications to broad classes of problems in variational analysis, optimization, equilibrium, control, economics, engineering, and other fields. Dr. Mordukhovich is a SIAM Fellow, an AMS Fellow, and a recipient of many international awards and honors including Doctor Honoris Causa degrees from six universities over the world. He is a Highly Cited Researcher in Mathematics. His research has been supported by continued grants from the National Science Foundations and the Air Force Office of Scientific Research.


Nguyen Mau Nam, PhD, is Professor of Mathematics at Portland State University. He has published more than 60 research articles and one book in convex analysiswith applications to optimization theory and numerical algorithms. He has received several awards for his research including a best paper award by Journal of Global Optimization in 2021 and the Columbia-Willamette Chapter of Sigma Xi Outstanding Researcher Award in Mathematical Sciences in 2015. His research was supported by grants from the National Science Foundation, the Simons Foundation, and Portland State University.

Von der hinteren Coverseite

This book examines the most fundamental parts of convex analysis and its applications to optimization and location problems. Accessible techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and to build a theory of generalized differentiation for convex functions and sets in finite dimensions. The book serves as a bridge for the readers who have just started using convex analysis to reach deeper topics in the field. Detailed proofs are presented for most of the results in the book and also included are many figures and exercises for better understanding the material. Applications provided include both the classical topics of convex optimization and important problems of modern convex optimization, convex geometry, and facility location.


In addition, this book:
  • Explains the fundamental theory with an accessible and understandable variational geometric approach;
  • Provides easy access to theoretical and numerical applications to convex optimization and geometry;
  • Simplifies relative interiors of convex sets in developing the theory of generalized differentiation in finite dimensions.




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Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031264576
ISBN 13 
9783031264573
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
320
Kontakt zum Hersteller
ProductSafety@springernature.com
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Poststr. 9
Darmstadt
64293
Deutschland

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9783031264603: An Easy Path to Convex Analysis and Applications (Synthesis Lectures on Mathematics & Statistics)

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ISBN 10:  3031264606 ISBN 13:  9783031264603
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Softcover