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Mathematical Expeditions: Chronicles by the Explorers (Undergraduate Texts in Mathematics)

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Synopses & Reviews

Publisher Comments:

The stories of five mathematical journeys into new realms, pieced together from the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, others by more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realisation that still greater vistas remain to be explored. The authors tell these stories by guiding readers through the very words of the mathematicians at the heart of these events, providing an insightinto the art of approaching mathematical problems. The five chapters are completely independent, with varying levels of mathematical sophistication, and will attract students, instructors, and the intellectually curious reader. By working through some of the original sources and supplementary exercises, which discuss and solve — or attempt to solve — a great problem, this book helps readers discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics.

Table of Contents

Preface.- Geometry: The Parallel Postulate.- Set Theory: Taming the Infinite.- Analysis: Calculating Areas and Volumes.- Number Theory: Fermat's Last Theorem.- Algebra: The Search for an Elusive Formula.- References.- Credits.- Index.

Product Details

ISBN:
9780387984339
Author:
Laubenbacher, Reinhard
Author:
Pengelley, David
Author:
Laubenbacher, Rinhard
Author:
Pengelley, David
Publisher:
Springer
Location:
New York, NY
Subject:
General
Subject:
History
Subject:
Mathematics
Subject:
Mathematics -- History -- Sources.
Subject:
General Mathematics
Subject:
Mathematics - General
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Number:
1
Edition Description:
1999. Corr. 2nd
Series:
Undergraduate Texts in Mathematics
Series Volume:
183
Publication Date:
February 2000
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
288
Dimensions:
235 x 155 mm 910 gr

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Related Subjects

Science and Mathematics » History of Science » General
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