Point-Set Topology: A Working Textbook (Springer Undergraduate Mathematics Series) free ebook download.

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

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Author(s):	Rafael Lopez

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3031585127
Pages:	406	OCR:		Quality:		ISBN13:
Uploader:	rubybook	Upload Date:	7/27/2024 3:53:22 AM

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3031585127 pdf
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.

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3267214	Download	https://nitroflare.com/view/B2CC49FB8661...		11.00	rubybook

Tags: Mathematics Point-Set Springer Textbook Topology Undergraduate Working

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