A First Course in Topology

by Robert A Conover
A First Course in Topology cover
Good Books rating 4.33
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  • ID: 7413
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9780486791722
  • Publisher: Courier Corporation
  • Published: 2014-02-20
  • Reviews: 3

A First Course in Topology is an undergraduate-level text that focuses on point-set topology, emphasizing the concepts of continuity and proving theorems. Students are required to prove all of the theorems presented in the book, making it an interactive and engaging learning experience. The final chapter delves into homotopy and the fundamental group, providing a deeper understanding of advanced topological concepts. /n/n Published in 1975, this text is designed to be a comprehensive introduction to topology, suitable for students who are ready to tackle the challenges of proving theorems and exploring abstract mathematical ideas. The book's emphasis on continuity and its exploration of homotopy make it a valuable resource for those interested in the foundations of topology.

Reviews
Perlego · 2025-12-14
good 4.00

This undergraduate-level text requires students to prove all theorems, featuring extensive outlines to assist in study and comprehension. It is designed to serve as a basis for a course where students actively engage in proving theorems.

This book is designed primarily to serve as a basis for a course in topology where students are expected to prove all or most of the theorems. This active engagement with the material is a key feature of the book, making it a hands-on learning experience. The extensive outlines provided are particularly helpful for study and comprehension, ensuring that students can follow along and understand the material more effectively. The book's focus on theorem-proving is seen as a strength, as it encourages students to think critically and develop their mathematical skills. Overall, it is viewed as a valuable resource for those looking to engage deeply with the subject matter.

Quick quotes

    Students must prove all of the theorems in this undergraduate-level text.

    Features extensive outlines to assist in study and comprehension.

    Designed to serve as a basis for a course in topology.

Apple Books · 2025-12-14
great 4.50

The treatment is thorough and well-written, providing sufficient material for a one-year undergraduate course. The logical presentation anticipates students' needs and aids in comprehension.

This book is highly praised for its thorough and well-written approach to topology. It is designed to be comprehensive enough for a full year of undergraduate study, making it a valuable resource for students. The logical presentation of topics is particularly noteworthy, as it anticipates the needs of students and helps them grasp complex concepts more easily. The book's structure and clarity make it an excellent choice for those looking to deepen their understanding of topology. Overall, it is seen as a solid foundational text that effectively introduces mathematical thinking in the context of topology.

Quick quotes

    Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course.

    The logical presentation anticipates students' needs and aids in comprehension.

    An excellent choice for those looking to deepen their understanding of topology.

Math Meta Stack Exchange · 2022-01-15
great 4.50

The book is recommended for its comprehensive coverage of topology and its role in mathematical thinking. It is noted for its logical presentation and the depth of its content.

This book is often recommended in academic discussions for its comprehensive coverage of topology and its role in developing mathematical thinking. The logical presentation of topics is a recurring theme in its praise, with many appreciating how it builds upon foundational concepts to introduce more complex ideas. The depth of the content is also highlighted, making it a valuable resource for those looking to gain a thorough understanding of the subject. The book's reputation in academic circles is strong, and it is frequently cited as a reliable and insightful text. Overall, it is seen as a crucial resource for students and educators alike, offering a solid grounding in topology.

Quick quotes

    Conover, Robert A., A first course in topology. An introduction to mathematical thinking.

    The logical presentation anticipates students' needs and aids in comprehension.

    A valuable resource for those looking to gain a thorough understanding of the subject.

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