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Author : Lev S. Pontrjagin
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (255 download)
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 : Lev Semenovich Pontri͡a︡gin
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (5 download)
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 : L. S. Pontryagin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)
Download or read book Foundations of Combinational Topology written by L. S. Pontryagin and published by . This book was released on 1952 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.:/5 (221 download)
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 : L. S. Pontryagin
Publisher : Courier Corporation
ISBN 13 : 0486406857
Total Pages : 112 pages
Book Rating : 4.4/5 (864 download)
Download or read book Foundations of Combinatorial Topology written by L. S. Pontryagin and published by Courier Corporation. This book was released on 2015-05-20 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.
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 : 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 : Lev Semenovich Pontri︠a︡gin
Publisher :
ISBN 13 :
Total Pages : 99 pages
Book Rating : 4.:/5 (622 download)
Download or read book Foundations of Combinatorial Topology, By L.S. Pontryagin. Translated From the 1St (1947) Russian Ed. by F. Bagemihl, H. Komm and W. Seidel written by Lev Semenovich Pontri︠a︡gin and published by . This book was released on 1952 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Author : L. S. Pontryagin
Publisher :
ISBN 13 :
Total Pages : 107 pages
Book Rating : 4.:/5 (459 download)
Download or read book Foundations of Combinatorial Topology, by L. S. Pontryagin. [Translated from the First Russian Edition by F. Bagemihl, H. Komm and W. Seidel.]. written by L. S. Pontryagin and published by . This book was released on 1952 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.Paul Bonnington
Publisher : Springer Science & Business Media
ISBN 13 : 146122540X
Total Pages : 179 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Foundations of Topological Graph Theory written by C.Paul Bonnington and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is not a traditional work on topological graph theory. No current graph or voltage graph adorns its pages. Its readers will not compute the genus (orientable or non-orientable) of a single non-planar graph. Their muscles will not flex under the strain of lifting walks from base graphs to derived graphs. What is it, then? It is an attempt to place topological graph theory on a purely combinatorial yet rigorous footing. The vehicle chosen for this purpose is the con cept of a 3-graph, which is a combinatorial generalisation of an imbedding. These properly edge-coloured cubic graphs are used to classify surfaces, to generalise the Jordan curve theorem, and to prove Mac Lane's characterisation of planar graphs. Thus they playa central role in this book, but it is not being suggested that they are necessarily the most effective tool in areas of topological graph theory not dealt with in this volume. Fruitful though 3-graphs have been for our investigations, other jewels must be examined with a different lens. The sole requirement for understanding the logical development in this book is some elementary knowledge of vector spaces over the field Z2 of residue classes modulo 2. Groups are occasionally mentioned, but no expertise in group theory is required. The treatment will be appreciated best, however, by readers acquainted with topology. A modicum of topology is required in order to comprehend much of the motivation we supply for some of the concepts introduced.
Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 354071961X
Total Pages : 392 pages
Book Rating : 4.5/5 (47 download)
Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2007-10-24 with total page 392 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 : Leslie C. Glaser
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (77 download)
Download or read book Geometrical Combinatorial Topology written by Leslie C. Glaser and published by . This book was released on 1970 with total page 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 : 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 : Maurice Fréchet
Publisher : Courier Corporation
ISBN 13 : 0486147886
Total Pages : 148 pages
Book Rating : 4.4/5 (861 download)
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 : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486151506
Total Pages : 789 pages
Book Rating : 4.4/5 (861 download)
Download or read book Foundations of Combinatorics with Applications written by Edward A. Bender and published by Courier Corporation. This book was released on 2013-01-18 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
Author : Samuel Eilenberg
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.F/5 ( download)
Download or read book Foundations of Algebraic Topology written by Samuel Eilenberg and published by . This book was released on 1952 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The principal contribution of this book is an axiomatic approach to that part of algebraic topology called Homology theory. It is the oldest and most extensively developed portion of algebraic topology and may be regarded as the main body of the subject" - preface.
