Mathematical Expeditions: Chronicles by the Explorers by Reinhard LaubenbacherMathematical Expeditions: Chronicles by the Explorers by Reinhard Laubenbacher

Mathematical Expeditions: Chronicles by the Explorers

byReinhard Laubenbacher, David Pengelley

Paperback | February 23, 2000

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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.
Title:Mathematical Expeditions: Chronicles by the ExplorersFormat:PaperbackDimensions:288 pages, 9.25 × 6.1 × 0 inPublished:February 23, 2000Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:038798433X

ISBN - 13:9780387984339

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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.

From Our Editors

Explorers of all types are guided by mere curiosity, the thrill of adventure and, sometimes, by more practical motives. Mathematical Expeditions contains the stories of five mathematical journeys to new realms, pieced together through the writings of explorers who expanded what was known to the mathematical world and realized still greater vistas remained to be explored. Among the topics discussed are Fermat's last theorem and the taming of the infinite.