Introduction to Minimax PDF Download
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Author: V. F. Dem’yanov
Publisher: Courier Corporation
ISBN: 0486793281
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Geared toward students of mathematical programming, this user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming. 37 illustrations. 1974 edition.
Author: V. F. Dem’yanov
Publisher: Courier Corporation
ISBN: 0486793281
Category : Mathematics
Languages : en
Pages : 324
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Book Description
Geared toward students of mathematical programming, this user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming. 37 illustrations. 1974 edition.
Author: Michel Willem
Publisher: Springer Science & Business Media
ISBN: 1461241464
Category : Mathematics
Languages : en
Pages : 168
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Book Description
Many boundary value problems are equivalent to Au=O (1) where A : X --+ Y is a mapping between two Banach spaces. When the problem is variational, there exists a differentiable functional rand inf.
Author: Paul H. Rabinowitz
Publisher: American Mathematical Soc.
ISBN: 0821807153
Category : Mathematics
Languages : en
Pages : 110
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Book Description
The book provides an introduction to minimax methods in critical point theory and shows their use in existence questions for nonlinear differential equations. An expanded version of the author's 1984 CBMS lectures, this volume is the first monograph devoted solely to these topics. Among the abstract questions considered are the following: the mountain pass and saddle point theorems, multiple critical points for functionals invariant under a group of symmetries, perturbations from symmetry, and variational methods in bifurcation theory. The book requires some background in functional analysis and differential equations, especially elliptic partial differential equations. It is addressed to mathematicians interested in differential equations and/or nonlinear functional analysis, particularly critical point theory.
Author: Tamer Başar
Publisher: Springer Science & Business Media
ISBN: 0817647570
Category : Science
Languages : en
Pages : 417
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Book Description
This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. The book can be used for a second or third year graduate level course in the subject, and researchers working in the area will find the book useful as a standard reference. Based mostly on recent work of the authors, the book is written on a good mathematical level. Many results in it are original, interesting, and inspirational. The topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with important theoretical developments in applied mathematics and control.
Author: Matt DeVos
Publisher: American Mathematical Soc.
ISBN: 1470422107
Category : Mathematics
Languages : en
Pages : 361
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Book Description
This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.
Author: Saul Stahl
Publisher: John Wiley & Sons
ISBN: 1118546148
Category : Mathematics
Languages : en
Pages : 430
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Book Description
An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.
Author: Ding-Zhu Du
Publisher: Springer Science & Business Media
ISBN: 1461335574
Category : Computers
Languages : en
Pages : 300
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Book Description
Techniques and principles of minimax theory play a key role in many areas of research, including game theory, optimization, and computational complexity. In general, a minimax problem can be formulated as min max f(x, y) (1) ",EX !lEY where f(x, y) is a function defined on the product of X and Y spaces. There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x,y) = maxminf(x,y). (2) "'EX !lEY !lEY "'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) "'EX !lEY There are two developments in minimax theory that we would like to mention.
Author: Alexandre B. Tsybakov
Publisher: Springer Science & Business Media
ISBN: 0387790527
Category : Mathematics
Languages : en
Pages : 222
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Book Description
Developed from lecture notes and ready to be used for a course on the graduate level, this concise text aims to introduce the fundamental concepts of nonparametric estimation theory while maintaining the exposition suitable for a first approach in the field.
Author: Bernhard G. Weber
Publisher: Thieme
ISBN: 1588902692
Category : Ankle
Languages : en
Pages : 232
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Book Description
Spanning more than 25 years' experience, this rich compendium of operative problems and solutions is based on the contributions of one of the world's leading orthopedic surgeons, Dr. Bernard G. Weber. The procedures are drawn from approximately 125,000 operations performed at the Orthopedic Department, County Hospital, St. Gallen, Switzerland, and the cases and x-ray series chosen from a collection of 80,000 slides! Key features: Surgical problems and solutions drawn from more than 25 years' experience and 125,000 operations Packed with nearly 800 images - including 118 hand-drawn illustrations - clearly depicting important concepts and techniques X-rays chosen from 80,000 slides to provide optimal representations of each case Detailed coverage of asepsis and potential complications, outlining the best possible treatment plans The author's in-depth examination of each case offers you many alternative solutions to a broad range of surgical problems. The extensive scope of findings supported by authoritative text truly makes this an invaluable reference.
Author: H. Vincent Poor
Publisher: Springer Science & Business Media
ISBN: 1475738633
Category : Technology & Engineering
Languages : en
Pages : 558
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Book Description
The purpose of this book is to introduce the reader to the basic theory of signal detection and estimation. It is assumed that the reader has a working knowledge of applied probabil ity and random processes such as that taught in a typical first-semester graduate engineering course on these subjects. This material is covered, for example, in the book by Wong (1983) in this series. More advanced concepts in these areas are introduced where needed, primarily in Chapters VI and VII, where continuous-time problems are treated. This book is adapted from a one-semester, second-tier graduate course taught at the University of Illinois. However, this material can also be used for a shorter or first-tier course by restricting coverage to Chapters I through V, which for the most part can be read with a background of only the basics of applied probability, including random vectors and conditional expectations. Sufficient background for the latter option is given for exam pIe in the book by Thomas (1986), also in this series.
