Fractions : a sliver of the story / Peter D. Schumer.

Format:

Book

Author/Creator:

Schumer, Peter D., 1954- author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Fractions.

Physical Description:

1 online resource (241 pages)

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, [2024]

Summary:

Aimed at anyone with a passion for the history of mathematics, including teachers and students of all ages, this book makes fractions come to life in a very friendly, lively, and readable way, outlining what makes fractions of interest to real mathematicians from various cultures throughout the ages.

Contents:

Cover

Ttile page

Copyright page

Contents

Preface

Acknowledgments

1 Terminating and Repeating Decimals

2 Geometric Series, Powers of Three

3 Fibonacci Numbers

4 Congruence Classes

5 Euclidean Algorithm

6 Euler Phi Function and the Period Length of Repeating Decimals

7 A Very Brief Introduction to Matrices

8 Farey Fractions

9 A Digression on Cutting Cakes and Marking Sticks

10 Egyptian Fractions

11 Are All Real Numbers Rational?

12 Continued Fractions

13 Archimedes' Determination of Pi

14 Crash Course on Infinite Series

15 Introduction to Taylor Series

16 Special Sums of Fractions

17 Some Spectacular Sums of Fractions

Exercise Solutions

Bibliography

Index.

Notes:

Includes bibliographical references and index.

Description based on online resource and publisher information; title from PDF title page (viewed on October 29, 2024).

Description based on publisher supplied metadata and other sources.

ISBN:

9780198916567

0198916566

9780198916543

019891654X

OCLC:

1464059350