A Guide To Topology
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A Guide To Topology
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Author : Steven G. Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-12-31
A Guide To Topology written by Steven G. Krantz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-31 with Mathematics categories.
A concise introduction to topology to ground students in the basic ideas and techniques of the subject.
Topology For Beginners Solution Guide
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Author : Steve Warner
language : en
Publisher:
Release Date : 2019-11-13
Topology For Beginners Solution Guide written by Steve Warner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Mathematics categories.
Topology for Beginners - Solution GuideThis book contains complete solutions to the problems in the 16 Problem Sets in Topology for Beginners. Note that this book references examples and theorems from Topology for Beginners. Therefore, it is strongly suggested that you purchase a copy of that book before purchasing this one.
A Users Guide To Algebraic Topology
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Author : C. T. J. Dodson
language : en
Publisher:
Release Date : 1995
A Users Guide To Algebraic Topology written by C. T. J. Dodson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Algebraic topology categories.
A User S Guide To Algebraic Topology
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Author : C. T. J. Dodson
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31
A User S Guide To Algebraic Topology written by C. T. J. Dodson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Mathematics categories.
This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.
Algebraic Topology
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Author : J. F. Adams
language : en
Publisher: Cambridge University Press
Release Date : 1972-04-27
Algebraic Topology written by J. F. Adams and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-04-27 with Mathematics categories.
This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.
A Guide To The Classification Theorem For Compact Surfaces
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Author : Jean Gallier
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-05
A Guide To The Classification Theorem For Compact Surfaces written by Jean Gallier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-05 with Mathematics categories.
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.
A User S Guide To Algebraic Topology
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Author : C.T. Dodson
language : en
Publisher: Springer
Release Date : 1997-02-14
A User S Guide To Algebraic Topology written by C.T. Dodson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-14 with Mathematics categories.
We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; indeed, the book arose from such courses taught by the authors. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. A certain amount of redundancy is built in for the reader's convenience: we hope to minimize :fiipping back and forth, and we have provided some appendices for reference. The first three are concerned with background material in algebra, general topology, manifolds, geometry and bundles. Another gives tables of homo topy groups that should prove useful in computations, and the last outlines the use of a computer algebra package for exterior calculus. Our approach has been that whenever a construction from a proof is needed, we have explicitly noted and referenced this. In general, wehavenot given a proof unless it yields something useful for computations. As always, the only way to un derstand mathematics is to do it and use it. To encourage this, Ex denotes either an example or an exercise. The choice is usually up to you the reader, depending on the amount of work you wish to do; however, some are explicitly stated as ( unanswered) questions. In such cases, our implicit claim is that you will greatly benefit from at least thinking about how to answer them.
Topology Essentials
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Author : Emil G. Milewski
language : en
Publisher: Research & Education Assoc.
Release Date : 2013-01-01
Topology Essentials written by Emil G. Milewski and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.
REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Topology includes an overview of elementary set theory, relations and functions, ordinals and cardinals, topological spaces, continuous functions, metric spaces and normed spaces, countable spaces, and separation axioms.
Topology
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Author : Tai-Danae Bradley
language : en
Publisher: MIT Press
Release Date : 2020-08-18
Topology written by Tai-Danae Bradley and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-18 with Mathematics categories.
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.
Topology Problem Solver
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Author :
language : en
Publisher: Research & Education Assoc.
Release Date :
Topology Problem Solver written by and has been published by Research & Education Assoc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.