An Illustrated Introduction to Topology and Homotopy

An Illustrated Introduction to Topology and Homotopy
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 488
Release: 2015-03-24
Genre: Mathematics
ISBN: 1482220814

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

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 152
Release: 2020-08-13
Genre: Mathematics
ISBN: 1000158160

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 Illustrated Introduction to Topology and Homotopy - Solutions Manual

An Illustrated Introduction to Topology and Homotopy - Solutions Manual
Author: Taylor & Francis Group
Publisher:
Total Pages:
Release: 2012-05-15
Genre:
ISBN: 9781439848203

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. "

An Introduction to Topology and Homotopy

An Introduction to Topology and Homotopy
Author: Allan J. Sieradski
Publisher: Brooks/Cole
Total Pages: 510
Release: 1992
Genre: Mathematics
ISBN:

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.

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 110
Release: 2020-08-13
Genre: Mathematics
ISBN: 1000115364

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.

Elementary Concepts of Topology

Elementary Concepts of Topology
Author: Paul Alexandroff
Publisher: Courier Corporation
Total Pages: 68
Release: 2012-08-13
Genre: Mathematics
ISBN: 0486155064

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.

Introduction to Topology

Introduction to Topology
Author: Theodore W. Gamelin
Publisher: Courier Corporation
Total Pages: 258
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486320189

This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.

A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology
Author: Michael Henle
Publisher: Courier Corporation
Total Pages: 340
Release: 1994-01-01
Genre: Mathematics
ISBN: 9780486679662

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.

Introduction to Topology

Introduction to Topology
Author: Solomon Lefschetz
Publisher: Princeton University Press
Total Pages: 227
Release: 2015-12-08
Genre: Mathematics
ISBN: 1400879949

In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems. Originally published in 1949. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.