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Book details

Classical topology and combinatorial group theory

by John C. Stillwell

Published 1980301 pagesISBN 978-0-3879-0516-7

This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.

Beyond its central premise, the book can be read through the connected lenses of Nonfiction. Those themes offer useful points of attention as the characters, ideas, or world develop, especially where the book complicates the expectations of its primary category.

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What the reading experience may hold

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Themes to notice

Nonfiction

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Content notes

No specific content concerns can be confirmed from the available English catalog information. Consult a publisher or reader-supplied guide when detailed warnings matter.

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Reading experience

Balanced tone · Urgent pace

A comfortable full-length choice for steady daily reading.

Who it may suit

A good fit if…

Readers who want a thoughtful experience and enjoy noticing the connections beneath a book’s surface story.

At a glance

This book's DNA

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ToneBalanced
LuminousDark

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Spoiler-Free Emotional Arc

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Classical topology and combinatorial group theoryJohn C. Stillwell
Powerful4.6/5

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Before you choose

A quick reading snapshot

Edition facts and catalog signals to help you decide whether this book fits what you want to read next.

Reading lengthA standard-length read301 pages in this edition
Publication eraModernFirst published or edition dated 1980
Primary categoryNonfictionExplore similar books below
ISBN-13
978-0-3879-0516-7
Language
English
Edition record
OL4101828M
BookenDeX editorial lens

A more thoughtful way into this book

This guide uses the edition details and category signals above to help you choose deliberately. It does not replace the author's work or a full review.

Good to know

A comfortable full-length choice for steady daily reading.

Begin with its place in Nonfiction, then notice where the book resists that label.

Try this reading approach

Read for connection, not completion.

Mark one passage that sharpens the book's central concern and one that complicates it. That tension often reveals more than a quick summary.

Three questions to carry with you

  1. Whose perspective organizes the story, and whose perspective remains outside it?
  2. Which sources or lived experiences carry the author’s central argument?
  3. How does the book change the way you understand its larger subject?

Editorial framework by Wesley Bryan, BookenDeX Founder and Editor.