The Heritage of Thales: HERITAGE OF THALES by W.S. Anglin

The Heritage of Thales: HERITAGE OF THALES

byW.S. Anglin, J. Lambek

Hardcover | December 14, 1998

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The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.

Details & Specs

Title:The Heritage of Thales: HERITAGE OF THALESFormat:HardcoverDimensions:341 pages, 9.25 × 6.1 × 0.03 inPublished:December 14, 1998Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:038794544X

ISBN - 13:9780387945446

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Table of Contents

Part I: History and Philosophy of Mathematics.- Part II: Foundations of Mathematics.- References.- Index.

From Our Editors

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 autho