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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821853955
Total Pages : 350 pages
Book Rating : 4.8/5 (539 download)
Download or read book Combinatorial methods in topology and algebraic geometry written by and published by American Mathematical Soc.. This book was released on 1985 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bruno Benedetti
Publisher : Springer
ISBN 13 : 3319201557
Total Pages : 222 pages
Book Rating : 4.3/5 (192 download)
Download or read book Combinatorial Methods in Topology and Algebra written by Bruno Benedetti and published by Springer. This book was released on 2015-10-31 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.
Author : John R. Harper
Publisher : American Mathematical Soc.
ISBN 13 : 9780821850398
Total Pages : 372 pages
Book Rating : 4.8/5 (53 download)
Download or read book Combinatorial Methods in Topology and Algebraic Geometry written by John R. Harper and published by American Mathematical Soc.. This book was released on 1985 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.
Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)
Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.
Author : Vladimir Shpilrain
Publisher : Springer Science & Business Media
ISBN 13 : 038721724X
Total Pages : 322 pages
Book Rating : 4.3/5 (872 download)
Download or read book Combinatorial Methods written by Vladimir Shpilrain and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.
Author : Viktor Vasilʹevich Prasolov
Publisher : American Mathematical Soc.
ISBN 13 : 0821838121
Total Pages : 432 pages
Book Rating : 4.8/5 (218 download)
Download or read book Elements of Homology Theory written by Viktor Vasilʹevich Prasolov and published by American Mathematical Soc.. This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Author : V.G. Boltyanskii
Publisher : Springer Science & Business Media
ISBN 13 : 1475756046
Total Pages : 153 pages
Book Rating : 4.4/5 (757 download)
Download or read book Intuitive Combinatorial Topology written by V.G. Boltyanskii and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.
Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3540766499
Total Pages : 221 pages
Book Rating : 4.5/5 (47 download)
Download or read book Using the Borsuk-Ulam Theorem written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: To the uninitiated, algebraic topology might seem fiendishly complex, but its utility is beyond doubt. This brilliant exposition goes back to basics to explain how the subject has been used to further our understanding in some key areas. A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. This book is the first textbook treatment of a significant part of these results. It focuses on so-called equivariant methods, based on the Borsuk-Ulam theorem and its generalizations. The topological tools are intentionally kept on a very elementary level. No prior knowledge of algebraic topology is assumed, only a background in undergraduate mathematics, and the required topological notions and results are gradually explained.
Author : Michael Henle
Publisher : Courier Corporation
ISBN 13 : 9780486679662
Total Pages : 340 pages
Book Rating : 4.6/5 (796 download)
Download or read book A Combinatorial Introduction to Topology written by Michael Henle and published by Courier Corporation. This book was released on 1994-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Author : Mark de Longueville
Publisher : Springer Science & Business Media
ISBN 13 : 1441979093
Total Pages : 246 pages
Book Rating : 4.4/5 (419 download)
Download or read book A Course in Topological Combinatorics written by Mark de Longueville and published by Springer Science & Business Media. This book was released on 2013 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook in topological combinatorics covers such topics as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. Includes many figures and exercises.
Author : Ashish K. Srivastava
Publisher : American Mathematical Soc.
ISBN 13 : 1470443686
Total Pages : 357 pages
Book Rating : 4.4/5 (74 download)
Download or read book Categorical, Homological and Combinatorial Methods in Algebra written by Ashish K. Srivastava and published by American Mathematical Soc.. This book was released on 2020-06-23 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the AMS Special Session, in honor of S. K. Jain's 80th birthday, on Categorical, Homological and Combinatorial Methods in Algebra held from March 16–18, 2018, at Ohio State University, Columbus, Ohio. The articles contained in this volume aim to showcase the current state of art in categorical, homological and combinatorial aspects of algebra.
Author : Aldo Conca
Publisher : Springer
ISBN 13 : 3319048708
Total Pages : 245 pages
Book Rating : 4.3/5 (19 download)
Download or read book Combinatorial Algebraic Geometry written by Aldo Conca and published by Springer. This book was released on 2014-05-15 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications.
Author : János Pach
Publisher : John Wiley & Sons
ISBN 13 : 1118031369
Total Pages : 376 pages
Book Rating : 4.1/5 (18 download)
Download or read book Combinatorial Geometry written by János Pach and published by John Wiley & Sons. This book was released on 2011-10-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more
Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 1461243726
Total Pages : 344 pages
Book Rating : 4.4/5 (612 download)
Download or read book Classical Topology and Combinatorial Group Theory written by John Stillwell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.
Author : Louis J. Billera
Publisher :
ISBN 13 : 9781470439828
Total Pages : 198 pages
Book Rating : 4.4/5 (398 download)
Download or read book Formal Power Series and Algebraic Combinatorics, 1994 written by Louis J. Billera and published by . This book was released on 1995 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the lectures presented at the Sixth International Conference on Formal Power Series and Algebraic Combinatorics held at DIMACS in May 1994. The conference attracted approximately 180 graduate students and junior and senior researchers from all over the world. Generally speaking, algebraic combinatorics involves the use of techniques from algebra, algebraic topology, and algebraic geometry in solving combinatorial problems; or it involves using combinatorial methods to attack problems in these areas. Combinatorial problems amenable to algebraic methods can arise in these.
Author : Christopher Francisco
Publisher : Walter de Gruyter
ISBN 13 : 3110250403
Total Pages : 377 pages
Book Rating : 4.1/5 (12 download)
Download or read book Progress in Commutative Algebra 1 written by Christopher Francisco and published by Walter de Gruyter. This book was released on 2012-04-26 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. Specifically, one can use combinatorial techniques to investigate resolutions and other algebraic structures as with the papers of Fløystad on Boij-Söderburg theory, of Geramita, Harbourne and Migliore, and of Cooper on Hilbert functions, of Clark on minimal poset resolutions and of Mermin on simplicial resolutions. One can also utilize algebraic invariants to understand combinatorial structures like graphs, hypergraphs, and simplicial complexes such as in the paper of Morey and Villarreal on edge ideals. Homological techniques have become indispensable tools for the study of noetherian rings. These ideas have yielded amazing levels of interaction with other fields like algebraic topology (via differential graded techniques as well as the foundations of homological algebra), analysis (via the study of D-modules), and combinatorics (as described in the previous paragraph). The homological articles the editors have included in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian such as in the papers by Roberts, Yao, Hummel and Leuschke.
Author : Christos A. Athanasiadis
Publisher : American Mathematical Soc.
ISBN 13 : 9780821857533
Total Pages : 350 pages
Book Rating : 4.8/5 (575 download)
Download or read book Algebraic and Geometric Combinatorics written by Christos A. Athanasiadis and published by American Mathematical Soc.. This book was released on 2006 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains original research and survey articles stemming from the Euroconference ''Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.
