Mathematical Expeditions Chronicles by the Explorers

ISBN-10: 038798433X
ISBN-13: 9780387984339
Edition: 1999
List price: $54.95 Buy it from $25.73
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Description: This book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each  More...

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Book details

List price: $54.95
Copyright year: 1999
Publisher: Springer
Publication date: 5/1/2000
Binding: Paperback
Pages: 278
Size: 6.00" wide x 9.50" long x 0.75" tall
Weight: 0.836
Language: English

This book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realization that still greater vistas remained to be explored. The authors tell these stories by guiding the reader through the very words of the mathematicians at the heart of these events, and thereby provide insight into the art of approaching mathematical problems. The book can be used in a variety of ways. The five chapters are completely independent, each with varying levels of mathematical sophistication. The book will be enticing to students, to instructors, and to the intellectually curious reader. By working through some of the original sources and supplemental exercises, which discuss and solve - or attempt to solve - a great problem, this book helps the reader 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.

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

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