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nexusstc/Intuitive Topology/2fd81564d3336c811bb321778c7560ee.pdf
Intuitive Topology (Mathematical World, Vol 4) (Mathematical World) 🔍
Victor V. Prasolov; A.B. Sossinsky Universities Press India, Mathematical World 4, 4, 1995
英语 [en] · PDF · 3.7MB · 1995 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
This is an introductory course on topology and begins by defining the main notions in a tangible and perceptible way, and then progressing to more precise and rigorous definitions and results, reaching the level of fairly sophisticated yet completely understandable proofs. An important feature of the book is that it deals mainly with construction of objects (like surfaces, knots and links in space) and maps between these objects, rather than with general theorems. It contains a number of illustrations and problems with solutions.
Readership: Advanced high school students and undergraduates majoring in mathematics.
备用文件名
lgli/1998 Intuitive Topology, MWorld 4.pdf
备用文件名
lgrsnf/1998 Intuitive Topology, MWorld 4.pdf
备用文件名
zlib/Mathematics/V. V. Prasolov/Intuitive Topology_2223006.pdf
备选作者
V.V. Prasolov; translated from the Russian by A. Sossinsky
备选作者
Viktor Vasilʹevich Prasolov
备选作者
Viktor Vasil'evič Prasolov
备用出版商
American Mathematical Society : Mathematical Association of America
备用出版商
Universities Press Ltd
备用版本
Mathematical world ;, v. 4, [Providence, R.I.], Rhode Island, 1995
备用版本
Mathematical world, vol. 4, Providence, cop. 1994
备用版本
American Mathematical Society, [N.p.], 1994
备用版本
United States, United States of America
备用版本
Mathematical World 4, 4, 1998
备用版本
New Edition, 1995-01-01
备用版本
India, India
备用版本
PT, 1995
元数据中的注释
0
元数据中的注释
lg1054005
元数据中的注释
{"isbns":["0821803565","8173711186","9780821803561","9788173711183"],"last_page":104,"publisher":"Universities Press India","series":"Mathematical World 4","volume":"4"}
元数据中的注释
Includes bibliographical references (p. 93) and index.
备用描述
"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."--Publisher
备用描述
Gives an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. This 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.
备用描述
Deformations
Knots and links
Spans of knots and links
A knot invariant
Homeomorphisms
Vector fields on the plane
Vector fields on two-dimensional surfaces
Fixed point free and periodic homeomorphisms
Two-dimensional surfaces
References
开源日期
2013-12-04
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