Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Theory Of Extremal Problems full books in PDF, epub, and Kindle. Read online Theory Of Extremal Problems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author :
Publisher : Elsevier
ISBN 13 : 0080875270
Total Pages : 473 pages
Book Rating : 4.0/5 (88 download)
Download or read book Theory of Extremal Problems written by and published by Elsevier. This book was released on 2009-06-15 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Extremal Problems
Author : Peter Frankl
Publisher : American Mathematical Soc.
ISBN 13 : 1470440393
Total Pages : 234 pages
Book Rating : 4.4/5 (74 download)
Download or read book Extremal Problems for Finite Sets written by Peter Frankl and published by American Mathematical Soc.. This book was released on 2018-08-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : I. V. Girsanov
Publisher : Springer Science & Business Media
ISBN 13 : 3642806848
Total Pages : 142 pages
Book Rating : 4.6/5 (428 download)
Download or read book Lectures on Mathematical Theory of Extremum Problems written by I. V. Girsanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author of this book, Igor' Vladimirovich Girsanov, was one of the first mathematicians to study general extremum problems and to realize the feasibility and desirability of a unified theory of extremal problems, based on a functional analytic approach. He actively advocated this view, and his special course, given at the Faculty of Mechanics and Mathematics of the Moscow State University in 1963 and 1964, was apparently the first systematic exposition of a unified approach to the theory of extremal problems. This approach was based on the ideas of Dubovitskii and Milyutin [1]. The general theory of extremal problems has developed so intensely during the past few years that its basic concepts may now be considered finalized. Nevertheless, as yet the basic results of this new field of mathematics have not been presented in a form accessible to a wide range of readers. (The profound paper of Dubovitskii and Milyutin [2] can hardly be recommended for a first study of the theory, since, in particular, it does not contain proofs of the fundamental theorems. ) Girsanov's book fills this gap. It contains a systematic exposition of the general principles underlying the derivation of necessary and sufficient conditions for an extremum, in a wide variety of problems. Numerous applications are given to specific extremal problems. The main material is preceded by an introductory section in which all prerequisites from functional analysis are presented.
Author : Mark Grigorʹevich Kreĭn
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886717
Total Pages : 430 pages
Book Rating : 4.8/5 (867 download)
Download or read book Problema Momentov Markova i Ekstremalnye Zada?i written by Mark Grigorʹevich Kreĭn and published by American Mathematical Soc.. This book was released on with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, an extensive circle of questions originating in the classical work of P. L. Chebyshev and A. A. Markov is considered from the more modern point of view. It is shown how results and methods of the generalized moment problem are interlaced with various questions of the geometry of convex bodies, algebra, and function theory. From this standpoint, the structure of convex and conical hulls of curves is studied in detail and isoperimetric inequalities for convex hulls are established; a theory of orthogonal and quasiorthogonal polynomials is constructed; problems on limiting values of integrals and on least deviating functions (in various metrics) are generalized and solved; problems in approximation theory and interpolation and extrapolation in various function classes (analytic, absolutely monotone, almost periodic, etc.) are solved, as well as certain problems in optimal control of linear objects.
Author : Vladimir Mikhaĭlovich Tikhomirov
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.3/5 (91 download)
Download or read book Fundamental Principles in the Theory of Extremal Problems written by Vladimir Mikhaĭlovich Tikhomirov and published by . This book was released on 1986-11-17 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Robert B. Gardner
Publisher : Elsevier
ISBN 13 : 0128119888
Total Pages : 442 pages
Book Rating : 4.1/5 (281 download)
Download or read book Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials written by Robert B. Gardner and published by Elsevier. This book was released on 2022-02-15 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research
Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)
Download or read book Coding Theory And Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security.
Author : Bela Bollobas
Publisher : Courier Corporation
ISBN 13 : 0486317587
Total Pages : 512 pages
Book Rating : 4.4/5 (863 download)
Download or read book Extremal Graph Theory written by Bela Bollobas and published by Courier Corporation. This book was released on 2013-07-02 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 0429804113
Total Pages : 292 pages
Book Rating : 4.4/5 (298 download)
Download or read book Extremal Finite Set Theory written by Daniel Gerbner and published by CRC Press. This book was released on 2018-10-12 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Aram Arutyunov
Publisher : Springer Science & Business Media
ISBN 13 : 9780792366553
Total Pages : 318 pages
Book Rating : 4.3/5 (665 download)
Download or read book Optimality Conditions: Abnormal and Degenerate Problems written by Aram Arutyunov and published by Springer Science & Business Media. This book was released on 2000-10-31 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. The book consists of four parts. First, the abstract minimization problem with constraints is studied. The next chapter is devoted to one of the most important classes of extremal problems, the optimal control problem. Next, one of the main objects of the calculus of variations is studied, the integral quadratic form. Finally, local properties of smooth nonlinear mappings in a neighborhood of an abnormal point will be discussed. Audience: The book is intended for researchers interested in optimization problems. The book may also be useful for advanced students and postgraduate students.
Author : Bela Bollobas
Publisher : Springer Science & Business Media
ISBN 13 : 1461299675
Total Pages : 191 pages
Book Rating : 4.4/5 (612 download)
Download or read book Graph Theory written by Bela Bollobas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1
Author : Frank Harary
Publisher : Courier Dover Publications
ISBN 13 : 0486796841
Total Pages : 129 pages
Book Rating : 4.4/5 (867 download)
Download or read book A Seminar on Graph Theory written by Frank Harary and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.
Author : Bela Bollobas
Publisher : Springer Science & Business Media
ISBN 13 : 1461206197
Total Pages : 408 pages
Book Rating : 4.4/5 (612 download)
Download or read book Modern Graph Theory written by Bela Bollobas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.
Author : Vincent D. Blondel
Publisher : Princeton University Press
ISBN 13 : 1400826152
Total Pages : 351 pages
Book Rating : 4.4/5 (8 download)
Download or read book Unsolved Problems in Mathematical Systems and Control Theory written by Vincent D. Blondel and published by Princeton University Press. This book was released on 2009-04-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science. The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.
Author : J. H. van Lint
Publisher : Cambridge University Press
ISBN 13 : 9780521006019
Total Pages : 620 pages
Book Rating : 4.0/5 (6 download)
Download or read book A Course in Combinatorics written by J. H. van Lint and published by Cambridge University Press. This book was released on 2001-11-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.
Author : Gradimir V Milovanovic
Publisher : World Scientific
ISBN 13 : 9814506486
Total Pages : 844 pages
Book Rating : 4.8/5 (145 download)
Download or read book Topics In Polynomials: Extremal Problems, Inequalities, Zeros written by Gradimir V Milovanovic and published by World Scientific. This book was released on 1994-06-28 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Author : Gábor Székelyhidi
Publisher : American Mathematical Soc.
ISBN 13 : 1470410478
Total Pages : 210 pages
Book Rating : 4.4/5 (74 download)
Download or read book An Introduction to Extremal Kahler Metrics written by Gábor Székelyhidi and published by American Mathematical Soc.. This book was released on 2014-06-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.
