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The Heritage of Thales
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The Heritage of Thales Hardcover - 1995

by W. S. Anglin; J. Lambek


From the publisher

This is intended as a textbook on the history, philosophy and foundations of mathematics, primarily for students specializing in mathematics, but we also wish to welcome interested students from the sciences, humanities and education. We have attempted to give approximately equal treatment to the three subjects: history, philosophy and mathematics. History We must emphasize that this is not a scholarly account of the history of mathematics, but rather an attempt to teach some good mathematics in a historical context. Since neither of the authors is a professional historian, we have made liberal use of secondary sources. We have tried to give ref- cited facts and opinions. However, considering that this text erences for developed by repeated revisions from lecture notes of two courses given by one of us over a 25 year period, some attributions may have been lost. We could not resist retelling some amusing anecdotes, even when we suspect that they have no proven historical basis. As to the mathematicians listed in our account, we admit to being colour and gender blind; we have not attempted a balanced distribution of the mathematicians listed to meet today's standards of political correctness. Philosophy Both authors having wide philosophical interests, this text contains perhaps more philosophical asides than other books on the history of mathematics. For example, we discuss the relevance to mathematics of the pre-Socratic philosophers and of Plato, Aristotle, Leibniz and Russell. We also have vi Preface presented some original insights.

First line

The Greeks believed that mathematics originated in Egypt.

From the rear cover

This is a textbook on the history, philosophy, and foundations of mathematics. One of its aims is to present some interesting mathematics, not normally taught in other courses, in a historical and philosophical setting. The book is intended mainly for undergraduate mathematics students, but is also suitable for students in the sciences, humanities, and education with a strong interest in mathematics. It proceeds in historical order from about 1800 BC to 1800 AD and then presents some selected topics of foundational interest from the 19th and 20th centuries. Among other material in the first part, the authors discuss the renaissance method for solving cubic and quartic equations and give rigorous elementary proofs that certain geometrical problems posed by the ancient Greeks (e.g. the problem of trisecting an arbitary angle) cannot be solved by ruler and compass constructions. In the second part, they sketch a proof of Godel's incompleteness theorem and discuss some of its implications, and also present the elements of category theory, among other topics. The authors' approach to a number of these matters is new.

Details

  • Title The Heritage of Thales
  • Author W. S. Anglin; J. Lambek
  • Binding Hardcover
  • Edition [ Edition: first
  • Pages 331
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York, NY
  • Date 1995-08-22
  • Illustrated Yes
  • ISBN 9780387945446 / 038794544X
  • Weight 1.52 lbs (0.69 kg)
  • Dimensions 9.58 x 6.34 x 0.87 in (24.33 x 16.10 x 2.21 cm)
  • Library of Congress subjects Mathematics - Philosophy, Mathematics - History
  • Library of Congress Catalog Number 95019695
  • Dewey Decimal Code 510.9
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The Heritage of Thales

The Heritage of Thales

by Anglin, W. S.; Lambek, J.

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The Heritage of Thales (Undergraduate Texts in Mathematics)
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The Heritage of Thales (Undergraduate Texts in Mathematics)

by Anglin, W. S. & Lambek, J.

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The Heritage of Thales (Undergraduate Texts in Mathematics / Readings in Mathematics)
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The Heritage of Thales
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The Heritage of Thales

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THE HERITAGE OF THALES
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THE HERITAGE OF THALES

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The Heritage of Thales (Undergraduate Texts in Mathematics)

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The Heritage of Thales
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The Heritage of Thales

by Anglin, W.S., Lambek, J.,

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