Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra

Author: Jacob Klein

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 246

ISBN-13: 0486319814

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Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.


The Beginnings of Greek Mathematics

The Beginnings of Greek Mathematics

Author: A. Szabó

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 364

ISBN-13: 9401732434

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When this book was first published, more than five years ago, I added an appendix on How the Pythagoreans discovered Proposition 11.5 of the 'Elements'. I hoped that this appendix, although different in some ways from the rest of the book, would serve to illustrate the kind of research which needs to be undertaken, if we are to acquire a new understanding of the historical development of Greek mathematics. It should perhaps be mentioned that this book is not intended to be an introduction to Greek mathematics for the general reader; its aim is to bring the problems associated with the early history of deductive science to the attention of classical scholars, and historians and philos ophers of science. I should like to conclude by thanking my translator, Mr. A. M. Ungar, who worked hard to produce something more than a mechanical translation. Much of his work was carried out during the year which I spent at Stanford as a fellow of the Center for Advanced Study in the Behavioral Sciences. This enabled me to supervise the work of transla tion as it progressed. I am happy to express my gratitude to the Center for providing me with this opportunity. Arpad Szabo NOTE ON REFERENCES The following books are frequently referred to in the notes. Unless otherwise stated, the editions are those given below. Burkert, W. Weisheit und Wissensclzaft, Studien zu Pythagoras, Philo laos und Platon, Nuremberg 1962.


Greek Astronomy

Greek Astronomy

Author: Thomas L. Heath

Publisher: Cambridge University Press

Published: 2014-03-20

Total Pages: 257

ISBN-13: 1108062806

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Published in 1932, this collection of translated excerpts on ancient astronomy was prepared by Sir Thomas Little Heath (1861-1940).


Science and Mathematics in Ancient Greek Culture

Science and Mathematics in Ancient Greek Culture

Author: Christopher Tuplin

Publisher:

Published: 2002

Total Pages: 384

ISBN-13: 9780198152484

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Ancient Greece was the birthplace of science, which developed in the Hellenized culture of ancient Rome. This book, written by seventeen international experts, examines the role and achievement of science and mathematics in Greek antiquity through discussion of the linguistic, literary, political, religious, sociological, and technological factors which influenced scientific thought and practice.


Number Theory and Its History

Number Theory and Its History

Author: Oystein Ore

Publisher: Courier Corporation

Published: 2012-07-06

Total Pages: 404

ISBN-13: 0486136434

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Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.


The Shaping of Deduction in Greek Mathematics

The Shaping of Deduction in Greek Mathematics

Author: Reviel Netz

Publisher: Cambridge University Press

Published: 2003-09-18

Total Pages: 356

ISBN-13: 9780521541206

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The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.


Ancient Greeks

Ancient Greeks

Author: Rosalie F. Baker

Publisher: Oxford University Press

Published: 1997-07-31

Total Pages: 257

ISBN-13: 0195099400

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"Outstanding individuals have the whole world as their memorial."--PericlesThe influence of ancient Greek civilization has been felt throughout modern Western history. Greek ideas can be found in the laws that govern our lives, the buildings in which we live, the books we read, and the vocabulary we use every day. Because these ideas have become so much a part of our daily life, we tend to forget that they originated more than 2,500 years ago.Ancient Greeks chronicles the lives and accomplishments of Greek figures whose influence continues to be felt today. We read about Greeks from all walks of life, including one of the greatest physicians who ever lived, the father of logic, and a brilliant mathematician who once said, "Give me a lever long enough, and a fulcrum strong enough, and I will single-handedly move the world." And move the world he did, but with his ideas, not a mighty fulcrum.In 42 essays, authors Rosalie and Charles Baker explore the lives of many personalities, from the most famous Greeks to people who are usually overlooked, including:Aesop, author of timeless fables that continue to provide lessons todayLycurgus, the legendary ruler of SpartaPlato, the great philosopher who established the Academy in AthensPhidippides, a courier and long-distance runner whose run from Marathon to Athens became the basis of the modern marathonSappho, one of the best female poets of classical antiquityHippocrates, one of the greatest physicians who ever livedAlcibiades, a patriot-turned-traitor who was exiled from GreeceIctinus, the architect responsible for the design of the ParthenonAristotle, the father of logic who tutored the teenage Alexander the GreatAlexander the Great, who ruled Greece, defeated the great Persian empire, conquered lands bordering the eastern Mediterranean Sea, including Egypt, and won control of lands stretching into India (and all that before his 33rd birthday)Zeno, founder of the philosophy known as StoicismThe biographies span the years 700 B.C. to 200 B.C., from Homer, the master of epic poetry and the author of the Iliad, to Eratosthenes, a brilliant mathematician who was the first to calculate the earth's circumference. A handy fact box that lists birth and death dates and the major accomplishments of each person profiled, abundant photographs and specially commissioned maps, a timeline, a glossary of Greek terms, an index of Greeks by profession, a pronunciation guide, and suggestions for further reading all add to the usefulness of this exceptional reference. With figures from fields as diverse as literature, mathematics, politics, the military, philosophy, and science, Ancient Greeks provides a comprehensive examination of the origins of modern civilization.