An Illustrated Introduction To Topology And Homotopy

DOWNLOAD

Download An Illustrated Introduction To Topology And Homotopy PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get An Illustrated Introduction To Topology And Homotopy book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

An Illustrated Introduction To Topology And Homotopy

DOWNLOAD
Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2015-03-24

An Illustrated Introduction To Topology And Homotopy written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-24 with Mathematics categories.

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs

Illustrated Introduction To Topology And Homotopy

DOWNLOAD
Author : SASHO. KALAJDZIEVSKI
language : en
Publisher:
Release Date : 2023

Illustrated Introduction To Topology And Homotopy written by SASHO. KALAJDZIEVSKI and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.

An Illustrated Introduction To Topology And Homotopy Solutions Manual For Part 1 Topology

DOWNLOAD
Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2020-08-13

An Illustrated Introduction To Topology And Homotopy Solutions Manual For Part 1 Topology written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-13 with Mathematics categories.

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.

An Introduction To Topology And Homotopy

DOWNLOAD
Author : Allan J. Sieradski
language : en
Publisher: Brooks/Cole
Release Date : 1992

An Introduction To Topology And Homotopy written by Allan J. Sieradski and has been published by Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

This text is an introduction to topology and homotopy. Topics are integrated into a coherent whole and developed slowly so students will not be overwhelmed.

A Course In Simple Homotopy Theory

DOWNLOAD
Author : M.M. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A Course In Simple Homotopy Theory written by M.M. Cohen 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 2012-12-06 with Mathematics categories.

This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. I wrote it because of a strong belief that there should be readily available a semi-historical and geo metrically motivated exposition of J. H. C. Whitehead's beautiful theory of simple-homotopy types; that the best way to understand this theory is to know how and why it was built. This belief is buttressed by the fact that the major uses of, and advances in, the theory in recent times-for example, the s-cobordism theorem (discussed in §25), the use of the theory in surgery, its extension to non-compact complexes (discussed at the end of §6) and the proof of topological invariance (given in the Appendix)-have come from just such an understanding. A second reason for writing the book is pedagogical. This is an excellent subject for a topology student to "grow up" on. The interplay between geometry and algebra in topology, each enriching the other, is beautifully illustrated in simple-homotopy theory. The subject is accessible (as in the courses mentioned at the outset) to students who have had a good one semester course in algebraic topology. I have tried to write proofs which meet the needs of such students. (When a proof was omitted and left as an exercise, it was done with the welfare of the student in mind. He should do such exercises zealously.

A Concise Course In Algebraic Topology

DOWNLOAD
Author : J. P. May
language : en
Publisher: University of Chicago Press
Release Date : 1999-09

A Concise Course In Algebraic Topology written by J. P. May and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09 with Mathematics categories.

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

An Illustrated Introduction To Topology And Homotopy Solutions Manual

DOWNLOAD
Author : Taylor & Francis Group
language : en
Publisher:
Release Date : 2012-05-15

An Illustrated Introduction To Topology And Homotopy Solutions Manual written by Taylor & Francis Group and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-15 with categories.

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs. The first part of the text covers basic topology, ranging from metric spaces and the axioms of topology through subspaces, product spaces, connectedness, compactness, and separation axioms to Urysohn s lemma, Tietze s theorems, and Stone- ech compactification. Focusing on homotopy, the second part starts with the notions of ambient isotopy, homotopy, and the fundamental group. The book then covers basic combinatorial group theory, the Seifert-van Kampen theorem, knots, and low-dimensional manifolds. The last three chapters discuss the theory of covering spaces, the Borsuk-Ulam theorem, and applications in group theory, including various subgroup theorems. Requiring only some familiarity with group theory, the text includes a large number of figures as well as various examples that show how the theory can be applied. Each section starts with brief historical notes that trace the growth of the subject and ends with a set of exercises. "

Topology Illustrated

DOWNLOAD
Author : Peter Saveliev
language : en
Publisher:
Release Date : 2016-02-02

Topology Illustrated written by Peter Saveliev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-02 with Mathematics categories.

This is a textbook for a two-semester first course in topology with emphasis on algebraic topology and applications: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, exchange economy. The book contains over 1000 color illustrations and over 1000 exercises.

Algebraic Topology

DOWNLOAD
Author : Smail Djebali
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-11-18

Algebraic Topology written by Smail Djebali and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-18 with Mathematics categories.

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-oriented presentation of some fundamental concepts in Algebraic Topology to the fixed point theory. A simple approach based on point-set Topology is used throughout to introduce many standard constructions of fundamental and homological groups of surfaces and topological spaces. The approach does not rely on Homological Algebra. The constructions of some spaces using the quotient spaces such as the join, the suspension, and the adjunction spaces are developed in the setting of Topology only. The computations of the fundamental and homological groups of many surfaces and topological spaces occupy large parts of the book (sphere, torus, projective space, Mobius band, Klein bottle, manifolds, adjunctions spaces). Borsuk's theory of retracts which is intimately related to the problem of the extendability of continuous functions is developed in details. This theory together with the homotopy theory, the lifting and covering maps may serve as additional course material for students involved in General Topology. The book comprises 280 detailed worked examples, 320 exercises (with hints or references), 80 illustrative figures, and more than 80 commutative diagrams to make it more oriented towards applications (maps between spheres, Borsuk-Ulam Theory, Fixed Point Theorems, ...) As applications, the book offers some existence results on the solvability of some nonlinear differential equations subject to initial or boundary conditions. The book is suitable for students primarily enrolled in Algebraic Topology, General Topology, Homological Algebra, Differential Topology, Differential Geometry, and Topological Geometry. It is also useful for advanced undergraduate students who aspire to grasp easily some new concepts in Algebraic Topology and Applications. The textbook is practical both as a teaching and research document for Bachelor, Master students, and first-year PhD students since it is accessible to any reader with a modest understanding of topological spaces. The book aspires to fill a gap in the existing literature by providing a research and teaching document which investigates both the theory and the applications of Algebraic Topology in an accessible way without missing the main results of the topics covered.

A Combinatorial Introduction To Topology

DOWNLOAD
Author : Michael Henle
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01

A Combinatorial Introduction To Topology written by Michael Henle and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.

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.