Free Delivery Over $100
|
|
|||
|
||||
OverviewCombinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. 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. Our presentation of standard topics is quite different from that of existing texts. In addition, several new themes, such as spectral sequences, are included. 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. The main benefit for the reader will be the prospect of fairly quickly getting to the forefront of modern research in this active field. Full Product DetailsAuthor: Dimitry KozlovPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2008 ed. Volume: 21 Dimensions: Width: 15.50cm , Height: 2.30cm , Length: 23.50cm Weight: 0.781kg ISBN: 9783540719618ISBN 10: 354071961 Pages: 390 Publication Date: 24 October 2007 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsFrom the reviews: This is an introduction to the beautiful world of combinatorial algebraic topology, describing the modern research tools and latest applications in this field. ! This could be used as material for a reading seminar on Chromatic numbers and the Kneser Conjecture, structural theory of morphism complexes, characteristic classes and chromatic numbers, applications of spectral sequence to Hom Complexes. ! an interesting book with large perspective in studying problems on the borderline between discrete mathematics and algebraic topology. (Corina Mohorianu, Zentralblatt MATH, Vol. 1130 (8), 2008) From the reviews: This is an introduction to the beautiful world of combinatorial algebraic topology, describing the modern research tools and latest applications in this field. ... This could be used as material for a reading seminar on Chromatic numbers and the Kneser Conjecture, structural theory of morphism complexes, characteristic classes and chromatic numbers, applications of spectral sequence to Hom Complexes. ... an interesting book with large perspective in studying problems on the borderline between discrete mathematics and algebraic topology. (Corina Mohorianu, Zentralblatt MATH, Vol. 1130 (8), 2008) This monograph offers an introduction to combinatorial algebraic topology, an active field connecting algebraic topology with discrete mathematics and computer science. It is intended to be `A book to teach from', providing a self-contained introduction that swiftly guides the reader to the forefront of modern research. (St. Haller, Monatshefte fur Mathematik, Vol. 162 (3), March, 2011) From the reviews: <p> Combinatorial algebraic topology has appeared as Volume 21 of the Springer series a ~Algorithms and Computation in Mathematicsa (TM). a ] this is an interdisciplinary project aimed at a wider readership, from combinatorially minded topologists and topologically minded combinatorialists to computer scientists specializing in a ~computational algebraic topologya (TM). The book is divided into three major parts. (Rade A1/2ivaljevic, Mathematical Reviews, Issue 2008 j) <p> Kozlova (TM)s Combinatorial Algebraic Topology is an introduction to the field, intended for graduate student and beyond. a ] Overall, the text is very readable, and feels like it covers a lot of ground a ] . Of particular note, each chapter ends with remarks which put the chapter in context, and with further references. I appreciated this. a ] In my opinion, these sorts of remarks are some of the most valuable that an introductory text has to offer a ] . (Michele Intermont, MathDL, July, 2008) <p> This is an introduction to the beautiful world of combinatorial algebraic topology, describing the modern research tools and latest applications in this field. a ] This could be used as material for a reading seminar on Chromatic numbers and the Kneser Conjecture, structural theory of morphism complexes, characteristic classes and chromatic numbers, applications of spectral sequence to Hom Complexes. a ] an interesting book with large perspective in studying problems on the borderline between discrete mathematics and algebraic topology. (Corina Mohorianu, Zentralblatt MATH, Vol. 1130 (8), 2008) Author InformationThe author is recipient of Wallenberg Prize of the Swedish Mathematics Society (2003), Gustafsson Prize of the Goran Gustafsson Foundation (2004), and the European Prize in Combinatorics (2005) (see http://www.math.tu-berlin.de/EuroComb05/prize.html for further information). He works at the interface of Discrete Mathematics, Algebraic Topology, and Theoretical Computer Science. He has obtained his doctorate from the Royal Institute of Technology, Stockholm in 1996. After longer stays at the Mathematical Sciences Research Institute at Berkeley, the Massachusetts Institute of Technology, the Institute for Advanced Study at Princeton, the University of Washington, Seattle, and Bern University, he has been a Senior Lecturer at the Royal Institute of Technology, Stockholm, and an Assistant Professor at ETH Zurich. Currently he holds the Chair of Algebra and Geometry at the University of Bremen, Germany. Tab Content 6Author Website:Countries AvailableAll regions |
||||
