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Author:
Publisher: Elsevier
ISBN: 0080875270
Category : Mathematics
Languages : en
Pages : 473
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Book Description
Theory of Extremal Problems
Author:
Publisher: Elsevier
ISBN: 0080875270
Category : Mathematics
Languages : en
Pages : 473
Get Book Here
Book Description
Theory of Extremal Problems
Author: Peter Frankl
Publisher: American Mathematical Soc.
ISBN: 1470440393
Category : Mathematics
Languages : en
Pages : 234
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Book Description
One of the great appeals of Extremal Set Theory as a subject is that the statements are easily accessible without a lot of mathematical background, yet the proofs and ideas have applications in a wide range of fields including combinatorics, number theory, and probability theory. Written by two of the leading researchers in the subject, this book is aimed at mathematically mature undergraduates, and highlights the elegance and power of this field of study. The first half of the book provides classic results with some new proofs including a complete proof of the Ahlswede-Khachatrian theorem as well as some recent progress on the Erdos matching conjecture. The second half presents some combinatorial structural results and linear algebra methods including the Deza-Erdos-Frankl theorem, application of Rodl's packing theorem, application of semidefinite programming, and very recent progress (obtained in 2016) on the Erdos-Szemeredi sunflower conjecture and capset problem. The book concludes with a collection of challenging open problems.
Author: Vladimir Mikhailovich Tikhomirov
Publisher:
ISBN:
Category :
Languages : en
Pages : 136
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Book Description
Author: Stanislav V. Emelyanov
Publisher: Walter de Gruyter
ISBN: 3110893010
Category : Mathematics
Languages : en
Pages : 317
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Book Description
This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered, e.g., variational calculus, control theory and bifurcations theory. Thorough treatment of parameter-dependent extremal problems with local minimum values. Includes many applications, e.g., variational calculus, control theory and bifurcations theory. Intended for specialists in the field of nonlinear analysis and its applications as well as for students specializing in these subjects.
Author: Vladimir Mikhaĭlovich Tikhomirov
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 144
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Book Description
This monograph deals with the general principles of the theory of extremal problems. The author discusses Lagrange's principle, the duality principle, the complete elimination of restrictions, the Hamilton-Jacobi principle, the extension of extremal problems, and the invariance principle.
Author: Bela Bollobas
Publisher: Courier Corporation
ISBN: 0486317587
Category : Mathematics
Languages : en
Pages : 512
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Book Description
The ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.
Author: Daniel Gerbner
Publisher: CRC Press
ISBN: 0429804113
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.
Author: Konstantin Ivanovich Babenko
Publisher: American Mathematical Soc.
ISBN: 9780821830017
Category : Mathematics
Languages : en
Pages : 348
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Book Description
Discusses univalent functions and extremal problems.
Author: I. V Girsanov
Publisher:
ISBN: 9783642806858
Category :
Languages : en
Pages : 148
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Book Description
Author:
Publisher:
ISBN:
Category : Calculus of variations
Languages : nl
Pages :
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Book Description
