Point-Set Topology: A Working Textbook (Springer Undergraduate Mathematics Series) - Image 1

£38.48

Springer Point-Set Topology: A Working Textbook (Springer Undergraduate Mathematics Series)

Name: Point-Set Topology: A Working Textbook (Springer Undergraduate Mathematics Series)
Brand: Springer
Price: 38.48 GBP
Availability: InStock

Higher Education

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Description

This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular. Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group. Thanks to nearly 300 solved exercises and abundant examples, Point-Set Topology is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elements of set theory, and a good grasp of calculus.

Product Specifications

Brand: Springer
Format: Paperback
ASIN: 3031585127
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 02 June 2024
Listed Since: 15 March 2024

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Springer Point-Set Topology: A Working Textbook (Springer Undergraduate Mathematics Series)

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