Turning Points in the History of Mathematics

Name: Turning Points in the History of Mathematics
Brand: Springer
SKU: 9781493932634
Price: 3997.0 INR
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by Hardy Grant

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ISBN13: 9781493932634
Binding: Paperback
Subject: N/A
Publisher: Springer
Publisher Imprint: Birkhauser
Publication Date: April 16, 2016
Pages: 109
Original Price: EUR 54.99
Language: English
Edition: 2015
Item Weight: 193 grams
BISAC Subject(s): History & Philosophy, Geometry / General, and Teaching / Subjects / Mathematics

About The Book

From the Back Cover

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.

Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the "wedding," via analytic geometry, of algebra and geometry; the "taming" of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor's creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.

Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development.

About The Author

Hardy Grant was, before his retirement, Associate Professor in the Department of Mathematics and Statistics, York University, Toronto, Canada

Israel Kleiner is Professor Emeritus, the Department of Mathematics and Statistics, York University, Toronto, Canada

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