Point-Set Topology: A Working Textbook

Name: Point-Set Topology: A Working Textbook
Brand: Springer Verlag
SKU: 9783031585128
Price: 3879.0 INR
Availability: InStock

by Rafael López

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ISBN13: 9783031585128
Binding: Paperback
Subject: Mathematics and Statistics
Publisher: Springer Verlag
Publisher Imprint: Springer
Publication Date: June 18, 2024
Pages: 398
Original Price: EUR 54.99
Language: English
Edition: N/A
Item Weight: 680 grams
BISAC Subject(s): Topology

About The Book

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.

About The Author

Rafael López is Professor of Mathematics at the University of Granada, Spain, and has taught a wide range of courses at undergraduate and graduate level, including geometry of curves and surfaces, differentiable manifolds, affine geometry, general topology and algebraic topology. His research interests are in differential geometry, elliptic differential equations and general relativity, with a particular focus on surfaces with prescribed curvature, capillary theory and variational problems on physics. He is the author of several textbooks on topology as well as a research monograph on surfaces with constant mean curvature.

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