Number: The Language of Science

Front Cover
Penguin, Jan 1, 2007 - Mathematics - 398 pages
20 Reviews
"Number is an open doorway into the world of math. Tobias Dantzig explains the foundations of mathematics with ease, and eloquently explores deeper philosophical questions that arise along the way. He describes the properties of all kinds of numbers - integers, primes, irrationals, transcendentals, and more. He explains the significance of zero, and shows that its invention has revolutionary consequences for arithmetic. He shows how the invention of symbols for use in algebra - a radical departure from tradition at the time - ushered in a new era of math; how arithmetic and geometry reflect each other; and how calculus uses infinity to model the continuity of space and time." "With a new afterword, notes section, and bibliography written by math professor and author Joseph Mazur, and a new foreword by mathematician Barry Mazur, the Masterpiece Science edition of Number - which was first published in 1930 - is the first update of Dantzig's classic work in over fifty years. It is a story that ranges from the dawn of man to the genius of history's greatest mathematicians, vividly revealing how the pursuit of knowledge transcends the rise and fall of civilizations." --Book Jacket.
  

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Review: Number: The Language of Science

User Review  - Francisco Rodríguez - Goodreads

I was fascinated by the fact that the act of counting and the concept of number is not a self-evident truth inherent in human beings, but something that had to be learnt. Realizing that a pair of ... Read full review

Review: Number: The Language of Science

User Review  - Steve Gathje - Goodreads

Who could have thought a history of numbers could be so interesting. Okay, I could have thought that. And it was very interesting! Read full review

Contents

Fingerprints
1
The Empty Column
19
Numberlore
37
The Last Number
59
Symbols
79
The Unutterable
103
This Flowing World
125
The Art of Becoming
145
The Domain of Number
187
The Anatomy of the Infinite
215
The Two Realities
239
Appendix A On the Recording of Numbers
261
Appendix B Topics in Integers
277
On Roots and Radicals
303
On Principles and Arguments
327
Copyright

Filling the Gaps
171

Common terms and phrases

References to this book

Teia Da Vida, a
Fritjof Capra
No preview available - 2002
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About the author (2007)

Tobias Dantzig was born in Russia, and was taught by Henri Poincaré in France before moving the United States. He received his Ph.D. in mathematics at the University of Indiana, and was a professor of mathematics at the University of Maryland. He died in 1956.
Joseph Mazur is Professor of Mathematics at Marlboro College, where he has taught a wide range of classes in all areas of mathematics, its history, and philosophy.

Bibliographic information