The Rainbow of Mathematics: A History of the Mathematical Sciences

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W. W. Norton & Company, 2000 - Mathematics - 817 pages
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He charts the growth of mathematics through its refinement by ancient Greeks and then medieval Arabs, to its systematic development by Europeans from the Middle Ages to the early twentieth century. This book describes the evolution of arithmetic and geometry, trigonometry and algebra; the interplay between mathematics, physics, and mathematical astronomy; and "new" branches such as probability and statistics. Authoritative and comprehensive, The Rainbow of Mathematics is a unique account of the development of the science that is at the heart of so many other sciences. Originally published under the title The Norton History of the Mathematical Sciences.
  

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This magnificent work covers mathematics from its recorded beginnings to the end of World War I. It provides remarkable insight into the development of the various branches of mathematics, and into the connections between mathematical and scientific ideas. Readers will find a wealth of interesting and useful information, including a superb bibliography. Highly recommended! 

Contents

Previewing the rainbow
3
Invisible origins and ancient traditions
18
from the early Middle
104
The calculus and its consequences
257
Analysis and mechanics at centre stage
303
Institutions and the profession after
347
Mathematical analysis
364
The expanding world of algebras
409
Mechanics and mathematical physics
439
International mathematics but the rise
479
The new century to the Great
654
Revie wing the rainbow
719
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About the author (2000)

Ivor Grattan-Guinness is professor of the history of mathematics and logic at Middlesex University, England.

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