Intuitive Topology (Mathematical World, Vol 4) by V.V. Prasolov (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The print quality is very good. For a topology book, if there are lots of illustrations, then the print quality is an essential part of the readability.

⭐Not rigorous at all, which makes this book a great start to understanding the basic idea behind topology. If you are interested in a rigorous treatment of the subject, check out Munkres’, Topology: A Second Edition.

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