A History of Elementary Mathematics
Written as a teaching aid for graduate and undergraduate math students, Florian Cajori's comprehensive 1896 survey of mathematics from Babylonian to modern times makes for a fascinating read. (Did you know that the decimal system is based on our having ten fingers and toes?) Beginning with the number systems of antiquity, continuing through the Hindu and Arabic influence on medieval thought, and concluding with an overview of trends in modern mathematical teaching, this is an invaluable work not only for students and educators but for readers of the history of human thought as well. Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Mathematical Notations, and The Chequered Career of Ferdinand Rudolph Hassler.
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abacists abacus Ahmes algebra ancient angles appears Arabic Archimedes arith arithmetic arithmeticians astronomer axioms Babylonians Boethius Bolyai Brahmagupta Briggs called Cantor circle Cocker computation construction cube definition Descartes digits Diophantus discovery divided division divisor early edition Egyptian elementary England English equal equations Euclid Euclid's Elements figures G. B. Halsted geom geometry Gerbert German given gives Greek Greek mathematical Heron Hindu numerals invention irrational Italian later Latin Leonardo of Pisa logarithms London Math mathematicians mathematics matics method metic modern Morgan multiplication Napier natural logarithms notation numbers origin Pacioli Peacock plane Plato polygon postulate pound practical problems proof proportion published pupil Pythagoreans Regiomontanus Roman roots rule of three says sexagesimal sides sines solution square straight line subtraction symbol Tartaglia teacher teaching text-book theorem theory tion translation treatise triangle trigonometry Vieta vigesimal word write written wrote zero
Page v - The education of the child must accord both in mode and arrangement with the education of mankind as considered historically; or in other words, the genesis of knowledge in the individual must follow the same course as the genesis of knowledge in the race.