The Mathematical Traveler: Exploring the Grand History of Numbers

The story of numbers is a rich, sweeping history that shows how our mathematical achievements contributed to the greatest innovations of civilization. Calvin Clawson, acclaimed author of Conquering Math Phobia, weaves a story of numbers that spans thousands of years. As Clawson so clearly shows, numbers are not only an intrinsic and essential thread in our modern lives, but have always been an integral part of the human psyche - knit into the very fabric of our identity as humans. Clawson travels back through time to the roots of the history of numbers. In exploring early human fascination with numbers, he unearths the clay beads, knotted ropes, and tablets used by our ancestors as counting tools. He then investigates how numeric symbols and concepts developed uniquely and independently in Meso-America, China, and Egypt. As he persuasively argues, the mathematical concepts that arose and flourished in the ancient world enabled the creation of architectural masterpieces as well as the establishment of vast trade networks. Continuing the journey, Clawson brings us to the elegant logic of numbers that soon came to distinguish itself as a discipline and the language of science. From the concepts of infinity contemplated by the Greeks to the complex numbers that are indispensable to scientists on the cutting edge of research today, Clawson breathes life and meaning into the history of great mathematical mysteries and problems. In this spirit of inquiry, he explores, in their times and places, the discovery of numbers that lie outside the province of counting, including irrational numbers, transcendentals, complex numbers, and the enormous transfinite numbers. The personalities and the creative feats surrounding each mathematical invention come alive vividly in Clawson's lucid prose. In this work of breathtaking scope, Clawson guides us through the wonders of numbers and illustrates their monumental impact on civilization.

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The Mathematical Traveler: Exploring the Grand History of Numbers

The story of numbers is a rich, sweeping history that shows how our mathematical achievements contributed to the greatest innovations of civilization. Calvin Clawson, acclaimed author of Conquering Math Phobia, weaves a story of numbers that spans thousands of years. As Clawson so clearly shows, numbers are not only an intrinsic and essential thread in our modern lives, but have always been an integral part of the human psyche - knit into the very fabric of our identity as humans. Clawson travels back through time to the roots of the history of numbers. In exploring early human fascination with numbers, he unearths the clay beads, knotted ropes, and tablets used by our ancestors as counting tools. He then investigates how numeric symbols and concepts developed uniquely and independently in Meso-America, China, and Egypt. As he persuasively argues, the mathematical concepts that arose and flourished in the ancient world enabled the creation of architectural masterpieces as well as the establishment of vast trade networks. Continuing the journey, Clawson brings us to the elegant logic of numbers that soon came to distinguish itself as a discipline and the language of science. From the concepts of infinity contemplated by the Greeks to the complex numbers that are indispensable to scientists on the cutting edge of research today, Clawson breathes life and meaning into the history of great mathematical mysteries and problems. In this spirit of inquiry, he explores, in their times and places, the discovery of numbers that lie outside the province of counting, including irrational numbers, transcendentals, complex numbers, and the enormous transfinite numbers. The personalities and the creative feats surrounding each mathematical invention come alive vividly in Clawson's lucid prose. In this work of breathtaking scope, Clawson guides us through the wonders of numbers and illustrates their monumental impact on civilization.

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The Mathematical Traveler: Exploring the Grand History of Numbers

The Mathematical Traveler: Exploring the Grand History of Numbers

by Calvin C. Clawson
The Mathematical Traveler: Exploring the Grand History of Numbers

The Mathematical Traveler: Exploring the Grand History of Numbers

by Calvin C. Clawson

Paperback(Softcover reprint of the original 1st ed. 1994)

$54.99 
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Overview

The story of numbers is a rich, sweeping history that shows how our mathematical achievements contributed to the greatest innovations of civilization. Calvin Clawson, acclaimed author of Conquering Math Phobia, weaves a story of numbers that spans thousands of years. As Clawson so clearly shows, numbers are not only an intrinsic and essential thread in our modern lives, but have always been an integral part of the human psyche - knit into the very fabric of our identity as humans. Clawson travels back through time to the roots of the history of numbers. In exploring early human fascination with numbers, he unearths the clay beads, knotted ropes, and tablets used by our ancestors as counting tools. He then investigates how numeric symbols and concepts developed uniquely and independently in Meso-America, China, and Egypt. As he persuasively argues, the mathematical concepts that arose and flourished in the ancient world enabled the creation of architectural masterpieces as well as the establishment of vast trade networks. Continuing the journey, Clawson brings us to the elegant logic of numbers that soon came to distinguish itself as a discipline and the language of science. From the concepts of infinity contemplated by the Greeks to the complex numbers that are indispensable to scientists on the cutting edge of research today, Clawson breathes life and meaning into the history of great mathematical mysteries and problems. In this spirit of inquiry, he explores, in their times and places, the discovery of numbers that lie outside the province of counting, including irrational numbers, transcendentals, complex numbers, and the enormous transfinite numbers. The personalities and the creative feats surrounding each mathematical invention come alive vividly in Clawson's lucid prose. In this work of breathtaking scope, Clawson guides us through the wonders of numbers and illustrates their monumental impact on civilization.


Product Details

ISBN-13: 9780306446450
Publisher: Springer US
Publication date: 01/01/1994
Series: [the Language of Science]
Edition description: Softcover reprint of the original 1st ed. 1994
Pages: 307
Product dimensions: 5.51(w) x 8.50(h) x 0.03(d)
Lexile: 1200L (what's this?)

About the Author

Calvin C. Clawson is the author of The Mathematical Traveler and Conquering Math Phobia. He has published over two dozen short stories, and won an award from the National Writers Association for his novel The White Badger. A teacher of mathematics at Seattle Community College, he lives south of Issaquah, Washington.

Table of Contents

Introduction1
Chapter 1How Do We Count?5
Chapter 2Early Counting19
Chapter 3Counting in Other Species37
Chapter 4Ancient Numbers49
Chapter 5Chinese and New World Numbers77
Chapter 6Problems in Paradise95
Chapter 7The Negative Numbers121
Chapter 8Dealing with the Infinite135
Chapter 9Dedekind's Cut: Irrational Numbers161
Chapter 10Story of [pi]: Transcendental Numbers181
Chapter 11Expanding the Kingdom: Complex Numbers207
Chapter 12Really Big: Transfinite Numbers223
Chapter 13The Genius Calculators233
Chapter 14What Does It All Mean?247
Chapter 15Numbers: Past, Present, and Future263
End Notes281
Glossary289
Bibliography299
Index303
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