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A Guide to Infinity: Ten Mathematical Journeys
An accessible introduction to mathematical infinity for the endlessly curious
Infinity has traditionally been a topic for philosophers, physicists, and artists, and it can be large, scary, or highly metaphorical. For mathematicians, however, infinity is not frightening or hopelessly abstract (though it is certainly big) but rather is a normal part of their work. In this guide, award-winning professor and author Edward R. Scheinerman offers an exploration of infinity for the curious. This is real math for real people, and you do not need a mastery of calculus to understand and enjoy it.
Through witty and accessible prose, along with many illustrations, Scheinerman demonstrates how infinity is used in algebra, geometry, and logic, touching on hyperreal numbers, the hyperbolic plane, transfinite ordinals, and more. He ends each chapter with tantalizing questions to inspire readers toward further—infinite?—investigation. This book, by the author of The Mathematics Lover’s Companion, is for students, mathophiles, engineers, scientists, accountants—even people who fear mathematics!
Infinity has traditionally been a topic for philosophers, physicists, and artists, and it can be large, scary, or highly metaphorical. For mathematicians, however, infinity is not frightening or hopelessly abstract (though it is certainly big) but rather is a normal part of their work. In this guide, award-winning professor and author Edward R. Scheinerman offers an exploration of infinity for the curious. This is real math for real people, and you do not need a mastery of calculus to understand and enjoy it.
Through witty and accessible prose, along with many illustrations, Scheinerman demonstrates how infinity is used in algebra, geometry, and logic, touching on hyperreal numbers, the hyperbolic plane, transfinite ordinals, and more. He ends each chapter with tantalizing questions to inspire readers toward further—infinite?—investigation. This book, by the author of The Mathematics Lover’s Companion, is for students, mathophiles, engineers, scientists, accountants—even people who fear mathematics!
192 pages, Hardcover
Published January 6, 2026
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February 13, 2026
Interesting book. Participated in an excellent discussion of this book with the author, hosted by the National Museum of Mathematics.
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