Euler's Gem

by David S. Richeson
Euler's Gem cover
Good Books rating 4.44
Science and Innovation
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Waterstones
Paperback • £17.99
Amazon
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  • ID: 7392
  • Added: 2025-12-14
  • Updated: 2025-12-30
  • ISBN: 9780691191997
  • Publisher: Princeton University Press
  • Published: 2019-07-23
  • Formats: 1
  • Reviews: 4

Euler's Gem explores the profound impact of Leonhard Euler's polyhedron formula, a deceptively simple equation that has far-reaching implications in various fields. The book delves into the history and development of this theorem, highlighting its applications in topology, geometry, and even everyday problems like mapping and coloring. Richeson uses engaging examples and illustrations to make complex mathematical concepts accessible to a wide audience, celebrating the contributions of brilliant mathematicians who refined and expanded upon Euler's work. /n/n From ancient Greek geometry to modern research, Euler's Gem showcases the elegance and unexpected applications of this mathematical gem. The book is filled with a who's who of mathematical geniuses and offers insights into how Euler's theorem has influenced fields as diverse as architecture, chemistry, and geography. This paperback edition includes a new preface by the author, providing additional context and updates on the ongoing relevance of Euler's work.

Reviews
ResearchGate · Unknown · 2025-08-05
enthusiastic 4.75

The reviewer is highly enthusiastic about the book, calling it a must-read and urging others to purchase copies. It is described as full of interesting ideas and a valuable addition to any library.

ResearchGate's reviewer expresses great enthusiasm for 'Euler's Gem', describing it as a book full of interesting ideas that should be shared with friends. The reviewer finds the book to be a valuable addition to any collection, highlighting its engaging presentation of mathematical concepts. The historical context and the way the book ties together different mathematical ideas are particularly praised. The reviewer's excitement is palpable, making it clear that this is a book that has left a lasting impression.

Quick quotes

    Full of interesting ideas I have to rush out and buy copies for all my friends.

    This is such a book and you should order a copy now.

    It is an overstatement to claim that.

Arab News · 2019-07-09
brilliant 4.50

The book uses wonderful examples and numerous illustrations to present the many elegant and unexpected applications of Euler's formula. It is a must-read for anyone interested in the historical development of mathematics.

This book is a treasure trove of mathematical insights, presented in a way that is both engaging and accessible. The author's use of examples and illustrations makes complex concepts easier to grasp, and the historical context adds a rich layer of understanding. It's a book that will appeal to both those with a background in mathematics and those who are new to the subject. The reviewer found the book to be a must-read for anyone interested in the historical development of mathematics, as it provides a unique perspective on the evolution of mathematical thought. The connections made between Euler's work and broader mathematical developments are particularly compelling.

Quick quotes

    Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea's many elegant and unexpected applications.

    It is a must buy for anybody interested in studying mathematics through its historical development.

    This is such a book and you should order a copy now.

Flying Colours Maths · 2012-10-24
excellent 4.50

This book offers a captivating journey through the history of mathematics, highlighting Euler's work and its impact on topology. The inclusion of visual aids and historical context makes it accessible and engaging.

If you're looking to dive into the world of mathematics through a historical lens, this book is a fantastic choice. The author does an excellent job of breaking down complex concepts into understandable terms, making it a great read for both enthusiasts and casual readers. The visuals and historical anecdotes add a layer of depth that makes the subject matter come alive. It's a book that will leave you with a newfound appreciation for the beauty and complexity of mathematical theories. The reviewer particularly enjoyed the way the book connects Euler's contributions to broader mathematical developments, making it a compelling read for anyone interested in the history of science.

Quick quotes

    It explains the problems they encountered as they puzzled about shapes, and it gives sketches of the solutions.

    It has pictures of Klein bottles and other exotic surfaces.

    The book is full of interesting ideas and you should order a copy now.

Barnes & Noble · 2012-10-24
good 4.00

Euler's Gem is a very good book that succeeds in explaining complicated concepts in engaging layman's terms. The author is keenly aware of where the difficult parts lie and provides clear explanations.

This book is a great resource for anyone looking to understand the complexities of Euler's work and its impact on topology. The author does an excellent job of breaking down difficult concepts into understandable terms, making it accessible to a wide audience. The reviewer particularly appreciated the author's awareness of the challenging parts and the clear explanations provided. It's a book that will leave you with a deeper understanding of the subject matter and a newfound appreciation for the beauty of mathematical theories. The connections made between Euler's work and broader mathematical developments are particularly compelling, making it a must-read for anyone interested in the history of mathematics.

Quick quotes

    Euler's Gem is a very good book.

    It succeeds in explaining complicated concepts in engaging layman's terms.

    Richeson is keenly aware of where the difficult parts lie and provides clear explanations.

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