A Manual of Greek Mathematics

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Courier Dover Publications, 2003 - Mathematics - 552 pages
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This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical text is geared toward high school, college, and graduate students, teachers, and those seeking a historical perspective on mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones.
  

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Contents

INTRODUCTORY
1
NUMERICAL NOTATION AND PRACTICAL CALCULATION
11
PYTHAGOREAN ARITHMETIC
36
THE EARLIEST GREEK GEOMETRY THALES
73
PYTHAGOREAN GEOMETRY
92
PROGRESS IN THE ELEMENTS DOWN TO PLATOS TIME
112
SPECIAL PROBLEMS
139
FROM PLATO TO EUCLID
171
ARCHIMEDES
277
CONIC SECTIONS APOLLONIUS OF PERGA
347
THE SUCCESSORS OF THE GREAT GEOMETERS
377
TRIGONOMETRY HIPPARCHUS MENELAUS AND PTOLEMY
393
MENSURATION HERON OF ALEXANDRIA
415
PAPPUS OF ALEXANDRIA
434
ALGEBRA DIOPHANTUS OF ALEXANDRIA
466
COMMENTATORS AND MINOR WRITERS
510

EUCLID
202
ARISTARCHUS OF SAMOS
270

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JSTOR: A History of Greek Mathematics
A history of Greek mathematics has long been a desideratum of Greek scholarship. No other British, it might almost be said no European, scholar was so well ...
links.jstor.org/ sici?sici=0009-840X(192305%2F06)1%3A37%3A3%2F4%3C69%3AAHOGM%3E2.0.CO%3B2-9

History of Mathematics: Greece
A history of Greek mathematics. Two volumes. Clarendon Press, Oxford, 1921. Reprint: Dover Publ., New York, 1981. Reviewed: Isis 4 (1921-22), 532-535. ...
aleph0.clarku.edu/ ~djoyce/ mathhist/ greece.html

Free Books > Science > Astronomy > Astronomy > A History Of Greek ...
Free Books > Science > Astronomy > Astronomy > A History Of Greek Mathematics Volume Ii. ... A History Of Greek Mathematics Volume Ii. by Sir Thomas Heath ...
2020ok.com/ books/ 97/ a-history-of-greek-mathematics-volume-ii-44397.htm

Universal Digital Library
A History Of Greek Mathematics (Volume Ⅰ) by SIR THOMAS HEATH L: English, Y: 1921, S: Mathematics, 460 pgs. A History Of Greek Mathematics Vol Ii by Thomas ...
202.41.66.247/ cgi-bin/ udlcgi/ ULIBAdvSearch.cgi?listStart=160& & title1=%5EG& perPage=20

Greek mathematics - Wikipedia, the free encyclopedia
The mcgraw-Hill Companies, Inc., ISBN 0070094659 · Heath, Thomas Little (1981), A History of Greek Mathematics, Dover publications, ISBN 0486240738, ...
en.wikipedia.org/ wiki/ Greek_mathematics

HEATH ON GREEK MATHEMATICS
A History of Greek Mathematics. By Sir Thomas Heath. Volume I,. From Thaïes to Euclid; volume II, From Aristarchus to Diophantus. ...
projecteuclid.org/ DPubS/ Repository/ 1.0/ Disseminate?handle=euclid.bams/ 1183485383& view=body& content-type=pdf_1

The Curve that Solves the Unsolvable Problems c sa Fulling 2003 ...
Source: T. Heath, A History of Greek Mathematics, Vol. I, Dover, 1981 (originally. published 1921). The trisectrix/quadratrix is attributed to Hippias of ...
calclab.math.tamu.edu/ ~fulling/ m629/ hippias.pdf

Endeavour : The Shaping of Deduction in Greek Mathematics by R ...
... historiography established by Heiberg and Tannery, and put together in Heath’s A History of Greek Mathematics of 1921, which is still the standard. ...
linkinghub.elsevier.com/ retrieve/ pii/ S0160932700012734

Resources for Using History in Teaching Mathematics
... Lebesgue's theory of integration: its origins and development; tl Heath, A manual of Greek mathematics; tl Heath, A history of Greek mathematics ...
www.math.nmsu.edu/ ~history/ resources.html

Greek mathematics: Information and Much More from Answers.com
The mcgraw-Hill Companies, Inc., ISBN 0070094659; Heath, Thomas Little (1981), A History of Greek Mathematics, Volume I, Dover publications, ISBN 0486240738 ...
www.answers.com/ topic/ greek-mathematics

About the author (2003)

Thomas Little Heath: Bringing the Past to Life
Thomas Little Heath (1861–1940) was unusual for an authority on many esoteric, and many less esoteric, subjects in the history of mathematics in that he was never a university professor. The son of an English farmer from Lincolnshire, Heath demonstrated his academic gifts at a young age; studied at Trinity College, Cambridge, from 1879 to 1882; came away with numerous awards; and obtained the top grade in the 1884 English Civil Service examination. From that foundation, he went to work in the English Treasury, rose through the ranks, and by 1913, was permanent secretary to the Treasury, effectively the head of its operations. He left that post in 1919 at the end of the first World War, worked several years at the National Debt office, and retired in 1926.

During all of that time, however, he became independently one of the world's leading authorities on the history of mathematics, especially on the history of ancient Greek mathematics. Heath's three-volume edition of Euclid is still the standard, it is generally accepted that it is primarily through Heath's great work on Archimedes that the accomplishments of Archimedes are known as well as they are.

Dover has reprinted these and other books by Heath, preserving over several decades a unique legacy in the history of mathematical scholarship.

In the Author's Own Words:
"The works of Archimedes are without exception, monuments of mathematical exposition; the gradual revelation of the plan of attack, the masterly ordering of the propositions, the stern elimination of everything not immediately relevant to the purpose, the finish of the whole, are so impressive in their perfection as to create a feeling akin to awe in the mind of the reader." — Thomas L. Heath

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