Undergraduate Topology

by Robert H. Kasriel
Undergraduate Topology cover
Good Books rating 4.23
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  • ID: 7410
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9780486474199
  • Publisher: Dover Books on Mathematics
  • Published: 2009-01-01
  • Reviews: 3

Undergraduate Topology offers a thorough introduction to general topology, making it an invaluable resource for students of mathematics. The book is designed to be self-contained, featuring detailed explanations and proofs that cover every practical aspect of point-set topology. It begins with reviews of elementary set theory and Euclidean n-space, followed by in-depth studies of metric spaces and their applications in analysis. The text also includes a survey of general topological spaces and mappings, touching on topics such as compactness, connectedness, quotient spaces, net and filter convergence, and product spaces. Each of the 112 sections concludes with exercises that reinforce the material and prepare students for subsequent chapters./n/nAuthor Robert H. Kasriel, a longtime educator at Georgia Tech, ensures that the content is accessible and engaging. The book is suitable for undergraduate mathematics majors, as well as graduate students and professionals pursuing mathematics research. It serves as a valuable tool for those studying complex, real, and functional analysis, providing a solid foundation in topology that will support advanced studies in various mathematical fields.

Reviews
JSTOR · D. E. · 2025-12-14
comprehensive 4.20

The book is praised for its comprehensive coverage of point-set topology and its utility in complex, real, and functional analysis. It is considered a valuable tool for mathematics students.

In a review published in JSTOR, D. E. commends 'Undergraduate Topology' by Robert H. Kasriel for its comprehensive coverage of point-set topology. The reviewer notes that the book serves as a valuable tool, particularly for students involved in complex, real, and functional analysis. The book's self-contained nature and clear explanations are highlighted as key strengths, making it an essential read for those looking to understand the practical aspects of topology. The reviewer appreciates the book's ability to bridge the gap between theoretical concepts and their real-world applications.

Quick quotes

    A valuable tool for students of mathematics, particularly in complex, real, and functional analysis.

    The book's self-contained nature and clear explanations are key strengths.

    Essential for understanding the practical aspects of topology.

Math StackExchange · Dave L. Renfro · 2025-12-14
practical 4.00

The book is noted for its practical approach to point-set topology, with clear explanations and proofs. It is considered a solid introduction to the subject.

Dave L. Renfro, in a post on Math StackExchange, shares some of his thoughts about 'Undergraduate Topology' by Robert H. Kasriel. He appreciates the book's practical approach to point-set topology, noting that it features clear explanations and proofs that relate to every practical aspect of the subject. Renfro finds the book to be a solid introduction, making it accessible and useful for students and enthusiasts alike. The book's self-contained nature is also highlighted, making it a valuable resource for those looking to deepen their understanding of topology.

Quick quotes

    Kasriel's book is a solid introduction to point-set topology.

    The explanations and proofs are clear and relate to every practical aspect.

    A valuable resource for students and enthusiasts.

Reddit - r/math · 2025-12-14
enlightening 4.50

The book offers a fresh perspective on numerical sets and is praised for its clarity and depth. It is considered a valuable resource for understanding point-set topology.

In the discussion on Reddit, several users highlight how 'Undergraduate Topology' by Robert H. Kasriel provides a unique and enlightening perspective on numerical sets. They appreciate the book's clarity and depth, making it a valuable resource for anyone looking to understand point-set topology. The book is described as beautifully written, offering insights that can change one's perspective on the subject. It's clear that the community finds it to be an essential read for those delving into advanced mathematical concepts.

Quick quotes

    That book gave me an entirely new perspective on the sets of numbers I had been using.

    It's beautifully written and offers deep insights into point-set topology.

    A valuable resource for anyone serious about understanding topology.

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