Intuitive Concepts in Elementary Topology
Title | Intuitive Concepts in Elementary Topology PDF eBook |
Author | B. H. Arnold |
Publisher | Courier Corporation |
Total Pages | 194 |
Release | 2011-06-01 |
Genre | Mathematics |
ISBN | 0486481999 |
"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. Well illustrated with figuresand diagrams, it can serve as either a primary text or a valuable supplement. 1962 edition"--
Intuitive Concepts in Elementary Topology
Title | Intuitive Concepts in Elementary Topology PDF eBook |
Author | Bradford Henry Arnold |
Publisher | |
Total Pages | 182 |
Release | 1963 |
Genre | Topology |
ISBN |
Elementary Concepts of Topology
Title | Elementary Concepts of Topology PDF eBook |
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.
Intuitive Concepts in Elementary Topology
Title | Intuitive Concepts in Elementary Topology PDF eBook |
Author | B.H. Arnold |
Publisher | Courier Corporation |
Total Pages | 192 |
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.
Intuitive Topology
Title | Intuitive Topology PDF eBook |
Author | Viktor Vasilʹevich Prasolov |
Publisher | American Mathematical Soc. |
Total Pages | 106 |
Release | 1995 |
Genre | Mathematics |
ISBN | 0821803565 |
This book is an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology.
Elementary Topology
Title | Elementary Topology PDF eBook |
Author | O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov |
Publisher | American Mathematical Soc. |
Total 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.
Intuitive Combinatorial Topology
Title | Intuitive Combinatorial Topology PDF eBook |
Author | V.G. Boltyanskii |
Publisher | Springer Science & Business Media |
Total Pages | 153 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 1475756046 |
Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.