Invitation to Combinatorial Topology PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Invitation to Combinatorial Topology PDF full book. Access full book title Invitation to Combinatorial Topology by Maurice Fréchet. Download full books in PDF and EPUB format.
Author: Maurice Fréchet
Publisher: Courier Corporation
ISBN: 9780486427867
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.
Author: Maurice Fréchet
Publisher: Courier Corporation
ISBN: 9780486427867
Category : Mathematics
Languages : en
Pages : 148
Get Book Here
Book Description
Elementary text, accessible to anyone with a background in high school geometry, covers problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, topological polygons, more. Includes 108 figures. 1967 edition.
Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 3642343643
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example. Ideal for students whose mastery of algebraic topology may be a work-in-progress, the text introduces key notions such as fundamental groups, homology groups, and the Euler-Poincaré characteristic. These prerequisites are the subject of detailed appendices that enable focused, discrete learning where it is required, without interrupting the carefully planned structure of the core exposition. Gently guiding readers through the principles, theory, and applications of the classification theorem, the authors aim to foster genuine confidence in its use and in so doing encourage readers to move on to a deeper exploration of the versatile and valuable techniques available in algebraic topology.
Author: Béla Bollobás
Publisher: Cambridge University Press
ISBN: 0521872286
Category : Mathematics
Languages : en
Pages : 376
Get Book Here
Book Description
Publisher description
Author: Joachim Kock
Publisher: Springer Science & Business Media
ISBN: 0817644954
Category : Mathematics
Languages : en
Pages : 162
Get Book Here
Book Description
Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory
Author: Matthias Beck
Publisher: American Mathematical Soc.
ISBN: 147042200X
Category : Mathematics
Languages : en
Pages : 325
Get Book Here
Book Description
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
Author: Alfredo Eidelsztein
Publisher: Routledge
ISBN: 0429906706
Category : Psychology
Languages : en
Pages : 300
Get Book Here
Book Description
The 'graph of desire' is one of the principal points of reference in Lacanian psychoanalysis. In this book the graph is analyzed in its multiple aspects and relations. Step by step, the author reveals and considers formulations from the simplest to the most complex. The treatment of this issue does not deal only with the development and explanation of its logical, mathematical and topological aspects but also goes through the psychoanalytical theory and practice. The author has immersed himself in Lacan's text "The Subversion of the Subject and the Dialectic of Desire in the Freudian Unconscious" to uncover and bring this fascinating subject to light.
Author: Martin Gardner
Publisher: American Mathematical Soc.
ISBN: 147046358X
Category : Mathematics
Languages : en
Pages : 301
Get Book Here
Book Description
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This volume, first published in 1977, contains columns published in the magazine from 1965-1968. This 1990 MAA edition contains a foreword by Persi Diaconis and Ron Graham and a postscript and extended bibliography added by Gardner for this edition.
Author: Liviu Nicolaescu
Publisher: Springer Science & Business Media
ISBN: 146141105X
Category : Mathematics
Languages : en
Pages : 366
Get Book Here
Book Description
This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The reader is expected to have some familiarity with cohomology theory and differential and integral calculus on smooth manifolds. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.
Author: J. P. May
Publisher: University of Chicago Press
ISBN: 9780226511832
Category : Mathematics
Languages : en
Pages : 262
Get Book Here
Book Description
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Author: Shahriar Shahriari
Publisher: Cambridge University Press
ISBN: 1108476546
Category : MATHEMATICS
Languages : en
Pages : 631
Get Book Here
Book Description
A conversational introduction to combinatorics for upper undergraduates, emphasizing problem solving and active student participation.
