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A Guide to Infinity: Ten Mathematical Journeys

by Edward R. Scheinerman

Mathematical infinity, explored through ten journeys

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AlbakiReads Editorial

Mathematical infinity, explored through ten journeys

Infinity here is treated as a working mathematical idea, not only a philosophical puzzle or metaphor. Across ten journeys, Edward R. Scheinerman shows how it appears in areas including algebra, geometry, and logic, with topics ranging from hyperreal numbers and the hyperbolic plane to transfinite ordinals. The guide pairs explanations with illustrations and closes each chapter with questions that point toward further investigation. Calculus mastery is not presented as a prerequisite, making the book’s route into these concepts accessible to readers with varied mathematical backgrounds.

Good fit for readers who enjoy

  • Curious readers seeking an introduction to mathematical infinity without a calculus background
  • Students and enthusiasts interested in connections between infinity, algebra, geometry, and logic
  • Engineers, scientists, and other professionals who want a broad mathematical exploration

Themes

Mathematical infinityAlgebra, geometry, and logicMathematical inquiry

Based on publisher information and book metadata.

Book overview

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!
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