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Author : Lincoln K. Durst
Publisher :
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4.F/5 ( download)
Download or read book Proceedings ...: Convexity and applications; lectures by B. Grünbaum and V. Klee written by Lincoln K. Durst and published by . This book was released on 1967 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. E. Leonard
Publisher : John Wiley & Sons
ISBN 13 : 1119022665
Total Pages : 340 pages
Book Rating : 4.1/5 (19 download)
Download or read book Geometry of Convex Sets written by I. E. Leonard and published by John Wiley & Sons. This book was released on 2015-11-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A gentle introduction to the geometry of convex sets in n-dimensional space Geometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space. Many properties of convex sets can be discovered using just the linear structure. However, for more interesting results, it is necessary to introduce the notion of distance in order to discuss open sets, closed sets, bounded sets, and compact sets. The book illustrates the interplay between these linear and topological concepts, which makes the notion of convexity so interesting. Thoroughly class-tested, the book discusses topology and convexity in the context of normed linear spaces, specifically with a norm topology on an n-dimensional space. Geometry of Convex Sets also features: An introduction to n-dimensional geometry including points; lines; vectors; distance; norms; inner products; orthogonality; convexity; hyperplanes; and linear functionals Coverage of n-dimensional norm topology including interior points and open sets; accumulation points and closed sets; boundary points and closed sets; compact subsets of n-dimensional space; completeness of n-dimensional space; sequences; equivalent norms; distance between sets; and support hyperplanes · Basic properties of convex sets; convex hulls; interior and closure of convex sets; closed convex hulls; accessibility lemma; regularity of convex sets; affine hulls; flats or affine subspaces; affine basis theorem; separation theorems; extreme points of convex sets; supporting hyperplanes and extreme points; existence of extreme points; Krein–Milman theorem; polyhedral sets and polytopes; and Birkhoff’s theorem on doubly stochastic matrices Discussions of Helly’s theorem; the Art Gallery theorem; Vincensini’s problem; Hadwiger’s theorems; theorems of Radon and Caratheodory; Kirchberger’s theorem; Helly-type theorems for circles; covering problems; piercing problems; sets of constant width; Reuleaux triangles; Barbier’s theorem; and Borsuk’s problem Geometry of Convex Sets is a useful textbook for upper-undergraduate level courses in geometry of convex sets and is essential for graduate-level courses in convex analysis. An excellent reference for academics and readers interested in learning the various applications of convex geometry, the book is also appropriate for teachers who would like to convey a better understanding and appreciation of the field to students. I. E. Leonard, PhD, was a contract lecturer in the Department of Mathematical and Statistical Sciences at the University of Alberta. The author of over 15 peer-reviewed journal articles, he is a technical editor for the Canadian Applied Mathematical Quarterly journal. J. E. Lewis, PhD, is Professor Emeritus in the Department of Mathematical Sciences at the University of Alberta. He was the recipient of the Faculty of Science Award for Excellence in Teaching in 2004 as well as the PIMS Education Prize in 2002.
Author : Vladik Kreinovich
Publisher : Springer Nature
ISBN 13 : 3031205693
Total Pages : 125 pages
Book Rating : 4.0/5 (312 download)
Download or read book From Intervals to –? written by Vladik Kreinovich and published by Springer Nature. This book was released on 2022-11-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy. In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations.
Author : Noga Alon
Publisher : Springer Science & Business Media
ISBN 13 : 3034604254
Total Pages : 539 pages
Book Rating : 4.0/5 (346 download)
Download or read book Visions in Mathematics written by Noga Alon and published by Springer Science & Business Media. This book was released on 2011-04-22 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.
Author : Roberto Tamassia
Publisher : World Scientific
ISBN 13 : 9810249268
Total Pages : 439 pages
Book Rating : 4.8/5 (12 download)
Download or read book Graph Algorithms and Applications I written by Roberto Tamassia and published by World Scientific. This book was released on 2002 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains volumes 1-3 of the Journal of Graph Algorithms and Applications (JGAA). Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http: //www.cs.brown.edu/publications/jgaa/
Author : Ann K. Stehney
Publisher : Mathematical Association of America (MAA)
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.3/5 (91 download)
Download or read book Selected Papers on Geometry written by Ann K. Stehney and published by Mathematical Association of America (MAA). This book was released on 1979 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roberto Tamassia
Publisher : World Scientific
ISBN 13 : 9814488763
Total Pages : 439 pages
Book Rating : 4.8/5 (144 download)
Download or read book Graph Algorithms And Applications 1 written by Roberto Tamassia and published by World Scientific. This book was released on 2002-03-11 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains volumes 1-3 of the Journal of Graph Algorithms and Applications (JGAA). Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at www.cs.brown.edu/publications/jgaa/.
Author : Raymond Woodward Brink
Publisher : Mathematical Assn of Amer
ISBN 13 : 9780883852040
Total Pages : 338 pages
Book Rating : 4.8/5 (52 download)
Download or read book Selected Papers on Geometry written by Raymond Woodward Brink and published by Mathematical Assn of Amer. This book was released on 1979 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marian Fabian
Publisher : Springer Science & Business Media
ISBN 13 : 1475734808
Total Pages : 455 pages
Book Rating : 4.4/5 (757 download)
Download or read book Functional Analysis and Infinite-Dimensional Geometry written by Marian Fabian and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
Author : Edward W. Odell
Publisher : Springer
ISBN 13 : 3540458921
Total Pages : 212 pages
Book Rating : 4.5/5 (44 download)
Download or read book Functional Analysis written by Edward W. Odell and published by Springer. This book was released on 2006-11-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. The main topics and themes include geometric and analytic properties of infinite-dimensional Banach spaces and their convex subsets as well as some aspects of Banach spaces associated with harmonic analysis and Banach algebras.
Author : Horst Martini
Publisher : Springer
ISBN 13 : 3030038688
Total Pages : 486 pages
Book Rating : 4.0/5 (3 download)
Download or read book Bodies of Constant Width written by Horst Martini and published by Springer. This book was released on 2019-03-16 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. The book then delves into a number of related topics, which include Constant width bodies in convexity (sections and projections, complete and reduced sets, mixed volumes, and further partial fields) Sets of constant width in non-Euclidean geometries (in real Banach spaces, and in hyperbolic, spherical, and further non-Euclidean spaces) The concept of constant width in analysis (using Fourier series, spherical integration, and other related methods) Sets of constant width in differential geometry (using systems of lines and discussing notions like curvature, evolutes, etc.) Bodies of constant width in topology (hyperspaces, transnormal manifolds, fiber bundles, and related topics) The notion of constant width in discrete geometry (referring to geometric inequalities, packings and coverings, etc.) Technical applications, such as film projectors, the square-hole drill, and rotary engines Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry.
Author : G. Hammer
Publisher : Springer Science & Business Media
ISBN 13 : 3642455670
Total Pages : 479 pages
Book Rating : 4.6/5 (424 download)
Download or read book Selected Topics in Operations Research and Mathematical Economics written by G. Hammer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x € P) • For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2].
Author : New York Public Library. Research Libraries
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (91 download)
Download or read book Dictionary Catalog of the Research Libraries of the New York Public Library, 1911-1971 written by New York Public Library. Research Libraries and published by . This book was released on 1979 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Canadian Mathematical Congress
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)
Download or read book Time Series and Stochastic Processes, Convexity and Combinatorics written by Canadian Mathematical Congress and published by . This book was released on 1970 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.:/5 (36 download)
Download or read book The American Mathematical Monthly written by and published by . This book was released on 1971 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Canadian Mathematical Congress
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings of the Biennial Seminar of the Canadian Mathematical Congress written by Canadian Mathematical Congress and published by . This book was released on 1945 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (91 download)
Download or read book Functional Analysis written by and published by . This book was released on 1988 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
