History of Mathematics, Volume 2

Couverture
Courier Corporation, 1 juin 1958 - 736 pages

Within this two-volume edition, Professor Smith covers the entire history of mathematics in the Near and Far East and the West, from primitive number concepts to the calculus. His account is distinguished by impeccable scholarship combined with unusual clarity and readability. Footnotes add many technical points outside the book's actual line of development and direct the reader to disputed matters and source readings. Hundreds of illustrations from Egyptian papyri, Hindu, Chinese, and Japanese manuscripts, Greek and Roman texts, Medieval treatises, maps, portraits, etc. are used along with modern graphs and diagrams.
Every major figure from Euclid to Descartes, Gauss, and Riemann and hundreds of lesser-known figures — Theon of Smyrna, Rabbi ben Ezra, Radulph of Laon, Mersenns, Benedetti, and more — are considered both with respect to specific problems and with an awareness of their overall influence on mathematics.
Volume II: Special Topics, considering mathematics in terms of arithmetic geometry, algebra, trig, calculus, calculating machines, and other specific fields and problems. 192 Topics for Discussion. 195 illustrations. Index.

 

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Table des matières

I GENERAL SURVEY
1
ELEMENTARY CLASSIFICATIONS OF NUMBER
11
UNITY
26
LOGISTIC OF NATURAL NUMBERS
32
MECHANICAL AIDS TO CALCULATION
156
TOPICS FOR DISCUSSION
207
COMMON FRACTIONS
208
SEXAGESIMAL FRACTIONS
228
TRANSCENDENTAL NUMBERS
268
TOPICS FOR DISCUSSION
377
CHAPTER PAGE
418
ELEMENTARY PROBLEMS
532
TRIGONOMETRY
600
MEASURES
634
CHAPTER PAGB
645
THE CALCULUS
676

DECIMAL FRACTIONS
235
SURD NUMBERS
251
NEGATIVE NUMBERS
257

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