Topology Now

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Topology Now!

Author : Robert Messer
Publisher : American Mathematical Soc.
ISBN 13 : 1470447819
Total Pages : 240 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology Now! by : Robert Messer

Download or read book Topology Now! written by Robert Messer and published by American Mathematical Soc.. This book was released on 2018-10-10 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

Experiments in Topology

Author : Stephen Barr
Publisher : Courier Corporation
ISBN 13 : 048615274X
Total Pages : 244 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Experiments in Topology by : Stephen Barr

Download or read book Experiments in Topology written by Stephen Barr and published by Courier Corporation. This book was released on 2012-12-04 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.

Elementary Concepts of Topology

Author : Paul Alexandroff
Publisher : Courier Corporation
ISBN 13 : 0486155064
Total Pages : 68 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Elementary Concepts of Topology by : Paul Alexandroff

Download or read book Elementary Concepts of Topology written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-08-13 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

A Combinatorial Introduction to Topology

Author : Michael Henle
Publisher : Courier Corporation
ISBN 13 : 9780486679662
Total Pages : 340 pages
Book Rating : 4.6/5 (796 download)

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Book Synopsis A Combinatorial Introduction to Topology by : Michael Henle

Download or read book A Combinatorial Introduction to Topology written by Michael Henle and published by Courier Corporation. This book was released on 1994-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Topology

Author : Tai-Danae Bradley
Publisher : MIT Press
ISBN 13 : 0262359626
Total Pages : 167 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Topology by : Tai-Danae Bradley

Download or read book Topology written by Tai-Danae Bradley and published by MIT Press. This book was released on 2020-08-18 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.

General Topology

Author : Tom Richmond
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110686724
Total Pages : 397 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis General Topology by : Tom Richmond

Download or read book General Topology written by Tom Richmond and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-07-06 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.

Strings, Conformal Fields, and Topology

Author : Michio Kaku
Publisher : Springer Science & Business Media
ISBN 13 : 1468403974
Total Pages : 544 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Strings, Conformal Fields, and Topology by : Michio Kaku

Download or read book Strings, Conformal Fields, and Topology written by Michio Kaku and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.

Topology and Approximate Fixed Points

Author : Afif Ben Amar
Publisher : Springer Nature
ISBN 13 : 3030922049
Total Pages : 258 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Topology and Approximate Fixed Points by : Afif Ben Amar

Download or read book Topology and Approximate Fixed Points written by Afif Ben Amar and published by Springer Nature. This book was released on 2022-01-25 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory. This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces—and fundamental properties of their topologies—are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included are weak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak* topology of its dual, and the Fréchet-Urysohn property. The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies. By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed point theory.

Algebraic Topology

Author : Satya Deo
Publisher : Springer
ISBN 13 : 9386279134
Total Pages : 332 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Algebraic Topology by : Satya Deo

Download or read book Algebraic Topology written by Satya Deo and published by Springer. This book was released on 2003-12-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Krishna's Topology: (For Honours and Post Graduate Students of All Indian Universities)

Author : J. N. Sharma
Publisher : Krishna Prakashan Media
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4./5 ( download)

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Book Synopsis Krishna's Topology: (For Honours and Post Graduate Students of All Indian Universities) by : J. N. Sharma

Download or read book Krishna's Topology: (For Honours and Post Graduate Students of All Indian Universities) written by J. N. Sharma and published by Krishna Prakashan Media. This book was released on 2014 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book.

Topology Now!

Author : Robert Messer
Publisher : Mathematical Association of America
ISBN 13 : 9780883857441
Total Pages : 250 pages
Book Rating : 4.8/5 (574 download)

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Book Synopsis Topology Now! by : Robert Messer

Download or read book Topology Now! written by Robert Messer and published by Mathematical Association of America. This book was released on 2006-05-11 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.

Algebraic Topology

Author : P. Hoffman
Publisher : Springer
ISBN 13 : 3540357378
Total Pages : 288 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algebraic Topology by : P. Hoffman

Download or read book Algebraic Topology written by P. Hoffman and published by Springer. This book was released on 2006-11-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology and Physics

Author : Zhenghan Wang
Publisher : World Scientific
ISBN 13 : 9812819118
Total Pages : 466 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Topology and Physics by : Zhenghan Wang

Download or read book Topology and Physics written by Zhenghan Wang and published by World Scientific. This book was released on 2008 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.The volume includes works on picture (2+1)-TQFTs and their applications to quantum computing, Berry phase and YangOCoBaxterization of the braid relation, finite type invariant of knots, categorification and Khovanov homology, GromovOCoWitten type invariants, twisted Alexander polynomials, Faddeev knots, generalized Ricci flow, CalabiOCoYau problems for CR manifolds, Milnor''s conjecture on volume of simplexes, Heegaard genera of 3-manifolds, and the (A, B)-slice problem. It also includes five unpublished papers of Xiao-Song Lin and various speeches related to the memorial conference

Elementary Topology And Applications (Second Edition)

Author : Carlos R Borges
Publisher : World Scientific
ISBN 13 : 9811237441
Total Pages : 174 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elementary Topology And Applications (Second Edition) by : Carlos R Borges

Download or read book Elementary Topology And Applications (Second Edition) written by Carlos R Borges and published by World Scientific. This book was released on 2021-07-21 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook is a very good start into the mathematical field of topology. A variety of topological concepts with some elementary applications are introduced. It is organized in such a way that the reader gets to significant applications quickly.This revised version corrects the many discrepancies in the earlier edition. The emphasis is on the geometric understanding and the use of new concepts, indicating that topology is really the language of modern mathematics.

Topology and Physics

Author :
Publisher :
ISBN 13 : 9814470651
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topology and Physics by :

Download or read book Topology and Physics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Biggest Ideas in the Universe

Author : Sean Carroll
Publisher : Penguin
ISBN 13 : 0593186583
Total Pages : 305 pages
Book Rating : 4.5/5 (931 download)

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Book Synopsis The Biggest Ideas in the Universe by : Sean Carroll

Download or read book The Biggest Ideas in the Universe written by Sean Carroll and published by Penguin. This book was released on 2022-09-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

Topology with Applications

Author : Somashekhar A. Naimpally
Publisher : World Scientific
ISBN 13 : 9814407666
Total Pages : 294 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topology with Applications by : Somashekhar A. Naimpally

Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.