Introduction to Topology
Title | Introduction to Topology PDF eBook |
Author | Bert Mendelson |
Publisher | Courier Corporation |
Total Pages | 226 |
Release | 2012-04-26 |
Genre | Mathematics |
ISBN | 0486135098 |
Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.
Introduction to Topology
Title | Introduction to Topology PDF eBook |
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
Title | A Combinatorial Introduction to Topology PDF eBook |
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
Title | Introduction to Topology PDF eBook |
Author | Crump W. Baker |
Publisher | |
Total Pages | 155 |
Release | 1997 |
Genre | Mathematics |
ISBN | 9781575240084 |
The fundamental concepts of general topology are covered in this text whic can be used by students with only an elementary background in calculus. Chapters cover: sets; functions; topological spaces; subspaces; and homeomorphisms.
Introduction to Topology
Title | Introduction to Topology PDF eBook |
Author | Colin Conrad Adams |
Publisher | Pearson |
Total Pages | 520 |
Release | 2008 |
Genre | Mathematics |
ISBN |
Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics. Introduces topology as an important and fascinating mathematics discipline to retain the readers interest in the subject. Is written in an accessible way for readers to understand the usefulness and importance of the application of topology to other fields. Introduces topology concepts combined with their real-world application to subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics. Covers topics including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, and compactness. A useful reference for readers wanting an intuitive introduction to topology.
A Geometric Introduction to Topology
Title | A Geometric Introduction to Topology PDF eBook |
Author | Charles Terence Clegg Wall |
Publisher | Courier Corporation |
Total Pages | 195 |
Release | 1993-01-01 |
Genre | Mathematics |
ISBN | 0486678504 |
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
Introduction to Topological Manifolds
Title | Introduction to Topological Manifolds PDF eBook |
Author | John M. Lee |
Publisher | Springer Science & Business Media |
Total Pages | 395 |
Release | 2006-04-06 |
Genre | Mathematics |
ISBN | 038722727X |
Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.