From Counting to Continuum, 9781009538671
Paperback
Journey from simple counting to complex real numbers made easy.

From Counting to Continuum

what are real numbers, really?

$54.99

  • Paperback

    228 pages

  • Release Date

    30 November 2024

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Summary

From Counting to Reality: A Gentle Journey Through Number Systems

Understanding the natural numbers, which we use to count things, comes naturally. Meanwhile, the real numbers, which include a wide range of numbers from whole numbers to fractions to exotic ones like π, are, frankly, really difficult to describe rigorously.

Instead of waiting to take a theorem-proof graduate course to appreciate the real numbers, readers new to university-level mathematics can explore the cor…

Book Details

ISBN-13:9781009538671
ISBN-10:1009538675
Author:Edward Scheinerman
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:228
Release Date:30 November 2024
Weight:346g
Dimensions:229mm x 150mm
What They're Saying

Critics Review

‘This book takes us on a fascinating journey through the world of turning intuition into rigor. Deep and elegant ideas are presented at just the right level of detail to keep the reader interested and engaged. A perfect introduction for anyone who is open to seeing the beauty of mathematics.’ Maria Chudnovsky, Princeton University‘Providing a careful, rigorous construction of the field of real numbers is among the greatest intellectual achievements in human history. This outstanding book will take you on an engaging and exciting guided tour of the real numbers that explains the mysteries and conveys the magic of this beautiful conceptual foundation for mathematical analysis.’ James R. Schatz, Johns Hopkins University‘Scheinerman is a master expositor who here presents a patient and thorough entry into the world of real numbers, providing sufficient precision and detail to make the definitions mathematically correct but in a way that is accessible to a wide audience.’ David Bressoud, Macalester College

About The Author

Edward Scheinerman

Edward Scheinerman is Professor of Applied Mathematics and Statistics at Johns Hopkins University. He is the author of various books including textbooks, a research monograph, and a volume for general readership, The Mathematics Lover’s Companion (2017). He has twice been awarded the Mathematical Association of America’s Lester R. Ford Award for outstanding mathematical exposition and has received numerous teaching awards at Johns Hopkins. His research publications are in discrete mathematics.

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