Elementary Concepts of Topology
Title | Elementary Concepts of Topology PDF eBook |
Author | Paul Alexandroff |
Publisher | Courier Corporation |
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.
Intuitive Concepts in Elementary Topology
Title | Intuitive Concepts in Elementary Topology PDF eBook |
Author | B.H. Arnold |
Publisher | Courier Corporation |
Pages | 194 |
Release | 2015-02-23 |
Genre | Mathematics |
ISBN | 0486275760 |
Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.
Elementary Concepts of Topology
Title | Elementary Concepts of Topology PDF eBook |
Author | Pavel Sergeevich Aleksandrov |
Publisher | |
Pages | 48 |
Release | 1932 |
Genre | Topology |
ISBN |
Elementary Concepts of Topology
Title | Elementary Concepts of Topology PDF eBook |
Author | Paul Alexandroff |
Publisher | |
Pages | 73 |
Release | 1965 |
Genre | |
ISBN |
Elementary Topology
Title | Elementary Topology PDF eBook |
Author | O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov |
Publisher | American Mathematical Soc. |
Pages | 432 |
Release | |
Genre | Mathematics |
ISBN | 9780821886250 |
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
A Combinatorial Introduction to Topology
Title | A Combinatorial Introduction to Topology PDF eBook |
Author | Michael Henle |
Publisher | Courier Corporation |
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.
Elementary Point-Set Topology
Title | Elementary Point-Set Topology PDF eBook |
Author | Andre L. Yandl |
Publisher | Courier Dover Publications |
Pages | 260 |
Release | 2016-04-10 |
Genre | Mathematics |
ISBN | 0486811018 |
In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. The versatile, original approach focuses on learning to read and write proofs rather than covering advanced topics. Based on lecture notes that were developed over many years at The University of Seattle, the treatment is geared toward undergraduate math majors and suitable for a variety of introductory courses. Starting with elementary concepts in logic and basic techniques of proof writing, the text defines topological and metric spaces and surveys continuity and homeomorphism. Additional subjects include product spaces, connectedness, and compactness. The final chapter illustrates topology's use in other branches of mathematics with proofs of the fundamental theorem of algebra and of Picard's existence theorem for differential equations. "This is a back-to-basics introductory text in point-set topology that can double as a transition to proofs course. The writing is very clear, not too concise or too wordy. Each section of the book ends with a large number of exercises. The optional first chapter covers set theory and proof methods; if the students already know this material you can start with Chapter 2 to present a straight topology course, otherwise the book can be used as an introduction to proofs course also." — Mathematical Association of America