Dr. Euler's fabulous formula : cures many mathematical ills / Paul J. Nahin ; with a new preface by the author.

Format:

Book

Author/Creator:

Nahin, Paul J.

Series:

Princeton Science Library ; 52

Language:

English

Subjects (All):

Numbers, Complex.

Euler's numbers.

Mathematics--History.

Mathematics.

Physical Description:

xxxii, 380 p. : ill.

Edition:

With a New preface by the author

Place of Publication:

Princeton, N.J. : Princeton University Press, c2006.

Language Note:

English

Summary:

In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula-long regarded as the gold standard for mathematical beauty-and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

Contents:

Front matter

Contents

Preface to the Paperback Edition

Preface

Introduction

Chapter 1. Complex Numbers

Chapter 2. Vector Trips

Chapter 3. The Irrationality of π2

Chapter 4. Fourier Series

Chapter 5. Fourier Integrals

Chapter 6. Electronics and √ −1

Euler: The Man and the Mathematical Physicist

Notes

Acknowledgments

Index

Notes:

First paperback printing, 2011.

Includes bibliographical references and index.

ISBN:

9786613058010

9780691175911

0691175918

9781400838479

1400838479

9781283058018

1283058014

OCLC:

1004882866