Invitation To Combinatorial Topology

Author : Maurice Fréchet
Publisher : Courier Corporation
ISBN 13 : 0486147886
Total Pages : 148 pages
Book Rating : 4.88/5 ( download)

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Download or read book Invitation to Combinatorial Topology written by Maurice Fréchet and published by Courier Corporation. This book was released on 2012-08-13 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: An elementary text that can be understood by anyone with a background in high school geometry, Invitation to Combinatorial Topology offers a stimulating initiation to important topological ideas. This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content. Subjects include the problems inherent to coloring maps, homeomorphism, applications of Descartes' theorem, and topological polygons. Considerations of the topological classification of closed surfaces cover elementary operations, use of normal forms of polyhedra, reduction to normal form, and application to the geometric theory of functions. 1967 edition. 108 figures. Bibliography. Index.

Author : Lev S. Pontrjagin
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.55/5 ( download)

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Download or read book Foundations of Combinatorial Topology written by Lev S. Pontrjagin and published by . This book was released on 1959 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : V.G. Boltyanskii
Publisher : Springer Science & Business Media
ISBN 13 : 9780387951140
Total Pages : 160 pages
Book Rating : 4.48/5 ( download)

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Download or read book Intuitive Combinatorial Topology written by V.G. Boltyanskii and published by Springer Science & Business Media. This book was released on 2001-03-30 with total page 160 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 : Martin R. Bridson
Publisher :
ISBN 13 : 9780198507727
Total Pages : 352 pages
Book Rating : 4.20/5 ( download)

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Download or read book Invitations to Geometry and Topology written by Martin R. Bridson and published by . This book was released on 2002 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.

Author : Pavel S. Aleksandrov
Publisher : Courier Corporation
ISBN 13 : 9780486401799
Total Pages : 676 pages
Book Rating : 4.90/5 ( download)

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Download or read book Combinatorial Topology written by Pavel S. Aleksandrov and published by Courier Corporation. This book was released on 1998-01-01 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clearly written, well-organized, 3-part text begins by dealing with certain classic problems without using the formal techniques of homology theory and advances to the central concept, the Betti groups. Numerous detailed examples.

Author : Lev Semenovich Pontri͡a︡gin
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.08/5 ( download)

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Download or read book Foundations of Combinatorial Topology written by Lev Semenovich Pontri͡a︡gin and published by . This book was released on 1952 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : K. Parthasarathy
Publisher : Springer Nature
ISBN 13 : 9811694842
Total Pages : 271 pages
Book Rating : 4.44/5 ( download)

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Download or read book Topology written by K. Parthasarathy and published by Springer Nature. This book was released on 2022-07-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book starts with a discussion of the classical intermediate value theorem and some of its uncommon “topological” consequences as an appetizer to whet the interest of the reader. It is a concise introduction to topology with a tinge of historical perspective, as the author’s perception is that learning mathematics should be spiced up with a dash of historical development. All the basics of general topology that a student of mathematics would need are discussed, and glimpses of the beginnings of algebraic and combinatorial methods in topology are provided. All the standard material on basic set topology is presented, with the treatment being sometimes new. This is followed by some of the classical, important topological results on Euclidean spaces (the higher-dimensional intermediate value theorem of Poincaré–Miranda, Brouwer’s fixed-point theorem, the no-retract theorem, theorems on invariance of domain and dimension, Borsuk’s antipodal theorem, the Borsuk–Ulam theorem and the Lusternik–Schnirelmann–Borsuk theorem), all proved by combinatorial methods. This material is not usually found in introductory books on topology. The book concludes with an introduction to homotopy, fundamental groups and covering spaces. Throughout, original formulations of concepts and major results are provided, along with English translations. Brief accounts of historical developments and biographical sketches of the dramatis personae are provided. Problem solving being an indispensable process of learning, plenty of exercises are provided to hone the reader's mathematical skills. The book would be suitable for a first course in topology and also as a source for self-study for someone desirous of learning the subject. Familiarity with elementary real analysis and some felicity with the language of set theory and abstract mathematical reasoning would be adequate prerequisites for an intelligent study of the book.

Author : Pavel S. Aleksandrov
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.30/5 ( download)

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Download or read book Combinatorial topology. 1 written by Pavel S. Aleksandrov and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Lev Semenovich Pontri︠a︡gin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.70/5 ( download)

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Download or read book Foundations of Combinatorial Topology written by Lev Semenovich Pontri︠a︡gin and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Viktor Vasilʹevich Prasolov
Publisher : American Mathematical Soc.
ISBN 13 : 0821838091
Total Pages : 348 pages
Book Rating : 4.99/5 ( download)

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Download or read book Elements of Combinatorial and Differential Topology written by Viktor Vasilʹevich Prasolov and published by American Mathematical Soc.. This book was released on 2006 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the maingoals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are suppliedwith hints or complete solutions.