An Illustrated Introduction To Topology And Homotopy
Download An Illustrated Introduction To Topology And Homotopy full books in PDF, epub, and Kindle. Read online free An Illustrated Introduction To Topology And Homotopy ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
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
Author | : SASHO. KALAJDZIEVSKI |
Publisher | : |
Total Pages | : |
Release | : 2023 |
Genre | : |
ISBN | : 9781138583412 |
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.
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. "
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.
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.
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.
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.
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.
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.