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Invitation To Combinatorial Topology
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Book Synopsis Invitation to Combinatorial Topology by : Maurice Fréchet
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This translation from the original French does full justice to the text's coherent presentation as well as to its rich historical content.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.
Book Synopsis Intuitive Combinatorial Topology by : V.G. Boltyanskii
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.
Book Synopsis Combinatorial topology. 1 by : Pavel S. Aleksandrov
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:
Book Synopsis Combinatorial Topology by : Pavel S. Aleksandrov
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.
Book Synopsis Invitations to Geometry and Topology by : Martin R. Bridson
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.
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.
Book Synopsis Foundations of Combinatorial Topology by : Lev Semenovich Pontri︠a︡gin
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:
Book Synopsis Foundations of Combinational Topology by : L. S. Pontryagin
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:
Book Synopsis Elements of Combinatorial and Differential Topology by : Viktor Vasilʹevich Prasolov
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.
Book Synopsis Combinatorial Topology by : Pavel S. Aleksandrov
Download or read book Combinatorial Topology written by Pavel S. Aleksandrov and published by . This book was released on 1956 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Topology by : Pavel Sergeevič forme avant 2007 Aleksandrov
Download or read book Combinatorial Topology written by Pavel Sergeevič forme avant 2007 Aleksandrov and published by . This book was released on 1956 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intuitive Combinatorial Topology by : V. G. Boltyanskii
Download or read book Intuitive Combinatorial Topology written by V. G. Boltyanskii and published by . This book was released on 2014-01-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Distributed Computing Through Combinatorial Topology by : Maurice Herlihy
Download or read book Distributed Computing Through Combinatorial Topology written by Maurice Herlihy and published by Newnes. This book was released on 2013-11-30 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed Computing Through Combinatorial Topology describes techniques for analyzing distributed algorithms based on award winning combinatorial topology research. The authors present a solid theoretical foundation relevant to many real systems reliant on parallelism with unpredictable delays, such as multicore microprocessors, wireless networks, distributed systems, and Internet protocols. Today, a new student or researcher must assemble a collection of scattered conference publications, which are typically terse and commonly use different notations and terminologies. This book provides a self-contained explanation of the mathematics to readers with computer science backgrounds, as well as explaining computer science concepts to readers with backgrounds in applied mathematics. The first section presents mathematical notions and models, including message passing and shared-memory systems, failures, and timing models. The next section presents core concepts in two chapters each: first, proving a simple result that lends itself to examples and pictures that will build up readers' intuition; then generalizing the concept to prove a more sophisticated result. The overall result weaves together and develops the basic concepts of the field, presenting them in a gradual and intuitively appealing way. The book's final section discusses advanced topics typically found in a graduate-level course for those who wish to explore further. Named a 2013 Notable Computer Book for Computing Methodologies by Computing Reviews Gathers knowledge otherwise spread across research and conference papers using consistent notations and a standard approach to facilitate understanding Presents unique insights applicable to multiple computing fields, including multicore microprocessors, wireless networks, distributed systems, and Internet protocols Synthesizes and distills material into a simple, unified presentation with examples, illustrations, and exercises
Book Synopsis Elements of Combinatorial and Differential Topology by : V. V. Prasolov
Download or read book Elements of Combinatorial and Differential Topology written by V. V. Prasolov and published by American Mathematical Society. This book was released on 2022-03-25 with total page 331 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 main goals 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 supplied with hints or complete solutions.
Book Synopsis Geometrical Combinatorial Topology by : Leslie C. Glaser
Download or read book Geometrical Combinatorial Topology written by Leslie C. Glaser and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Intuitive Combinatorial Topology by : V.G. Boltyanskii
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.
Book Synopsis The Art of Mathematics by : Béla Bollobás
Download or read book The Art of Mathematics written by Béla Bollobás and published by Cambridge University Press. This book was released on 2006-09-14 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a Christian escape from a lion? How quickly can a rumour spread? Can you fool an airline into accepting oversize baggage? Recreational mathematics is full of frivolous questions where the mathematician's art can be brought to bear. But play often has a purpose. In mathematics, it can sharpen skills, provide amusement, or simply surprise, and books of problems have been the stock-in-trade of mathematicians for centuries. This collection is designed to be sipped from, rather than consumed in one sitting. The questions range in difficulty: the most challenging offer a glimpse of deep results that engage mathematicians today; even the easiest prompt readers to think about mathematics. All come with solutions, many with hints, and most with illustrations. Whether you are an expert, or a beginner or an amateur mathematician, this book will delight for a lifetime.
