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Taxicab Geometry: An Adventure in Non-Euclidean Geometry (Dover Books on Mathematics) Revised Edition

3.4 out of 5 stars 20 customer reviews
ISBN-13: 080-0759252022
ISBN-10: 0486252027
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 96 pages
  • Publisher: Dover Publications; Revised edition (January 1, 1987)
  • Language: English
  • ISBN-10: 0486252027
  • ISBN-13: 978-0486252025
  • Product Dimensions: 5.4 x 0.3 x 8.5 inches
  • Shipping Weight: 5.6 ounces (View shipping rates and policies)
  • Average Customer Review: 3.4 out of 5 stars  See all reviews (20 customer reviews)
  • Amazon Best Sellers Rank: #121,890 in Books (See Top 100 in Books)

Customer Reviews

Top Customer Reviews

Format: Paperback
I use the ideas in this book in my mathematics teaching in high school. Students learn to think of the world as Euclidean through most of their instruction; Taxicab Geoemetry gives teachers a very straghtforward way to introduce non-Eucliean Geometry. Admittedly, this book is not thorough, and it is very open ended (which I consider to be positive). Nevertheless, for its intended audience it is outstanding.
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Format: Paperback
Before purchasing this book, realize what it is. This is a book about non-euclidean geometry. Specifically, a specialized form of non-euclidian geometry affectionately referred to as taxi-cab geometry. This is not a table top book, but is a book for mathemeticians and those interested in mathematics. Others need not apply (regardless of how interesting the topic is). This is an excellent introduction to non-euclidean geometry because it strips away common misconceptions about the nature of non-euclidean geometries. This text is excellent for grade school children and those who would like to branch into more advanced non-euclidean geometries like hyperbolic.
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Format: Paperback Verified Purchase
A curious and different look at graph theory based on grids. Ideas presented by the author will not be seen in the usual math texts. Writing is clear, direct, and not extensive (on purpose); as stated the author wants us to explore the concepts.

Not trying the exercises will limit a clear development and progress within the topic. Good for those interested in puzzles, problem solving, or math. Not a PhD exposition, but more on the lines of Martin Gardner specific to one topic.

Recommended for those that like math -thinking, and exploring; and really kind of fun once you get the graph paper out.
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Format: Paperback Verified Purchase
This book has about 10-15 pages of reading material and 60 pages of exercises.
The topic discussed in the book interesting but fairly simple, had the author decided to actually write and explain the concept, this might be a decent book. Instead, most of the concepts are explained implicitly through 60 pages of utterly repetitive exercises.
Unless you are in the mood for some trivial and tedious high school math homework, don't buy this book
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Format: Paperback Verified Purchase
An interesting and very thought provoking introduction to one type of non-Euclidean geometry. This book is suitable for anyone who already knows the Pythagorean Theorem as it uses a variation for the basis of the calculations needed to complete the exercises in the book. It is very easy to read and understand the concepts. Some of the answers to the end of chapter questions are included. The chapters are short and the material is logically presented. Also, it is an interesting book for math lovers who would like to expand their mathematical understanding of how everyday travel works instead of using as the crow flies estimates.
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Format: Paperback Verified Purchase
The book is only $6.00 and it describes a non-euclidean geometry - it's hard to go wrong! This is really more of a workshop book - the math that's in it is pretty darn simple, yet, it encourages a certain mathematical exploration. So, if you're getting burned out on Calculus and the other heavy stuff, pick this gem up (Did I mention it's only $6.00?) and do what the original mathematicians did: Play with math.

My only problem with the book, is that some of the chapters could use some more detail - on the other hand, it does encourage the reader to think a bit more deeply about what's being presented.
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Format: Kindle Edition Verified Purchase
A challenging mind-tweaker, so deceptively simple in concept and as commonplace in its application as traveling our city streets. When did you last delve into a non-Euclidean world with contradictory feelings of familiarity and astonishment? Me--never! Short chapters put a concept to work that you explore through exercises. Get some graph paper and discover Ideal City and its geometry of square circles and area-lines. Accessible for those of any age who have a moderate interest in things geometric.
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Format: Kindle Edition Verified Purchase
I learned briefly about the existence of taxicab geometry in a college math class, but I had never considered the implications for various geometrical structures or for other mathematical definitions. I can't wait to explore this math further myself.
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