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Mathematical Masterpieces: Further Chronicles by the Explorers
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Mathematical Masterpieces: Further Chronicles by the Explorers Paperback - 2007

by Art Knoebel; Reinhard Laubenbacher; Jerry Lodder


From the publisher

This book traces the historical development of four different mathematical concepts by presenting readers with the original sources, yielding the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter showcases a masterpiece of mathematical achievement, anchored around a sequence of selected primary sources. The authors begin by studying the interplay between the discrete and continuous, with a focus on sums of powers. They proceed to the development of algorithms for finding numerical solutions of equations as developed by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, with its roots in the emerging calculus of the 17th century, while the final chapter ends with an exploration of the elusive properties of prime numbers, and the patterns found therein. The book includes exercises, numerous historical photographs, and an annotated bibliography.

From the rear cover

Experience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through the words of the pioneers of mathematical thought. Particular advantages of the historical approach include providing context to mathematical inquiry, perspective to proposed conceptual solutions, and a glimpse into the direction research has taken. The text is ideal for an undergraduate seminar, independent reading, or a capstone course, and offers a wealth of student exercises with a prerequisite of at most multivariable calculus.

Details

  • Title Mathematical Masterpieces: Further Chronicles by the Explorers
  • Author Art Knoebel; Reinhard Laubenbacher; Jerry Lodder
  • Binding Paperback
  • Edition 1st edition
  • Pages 340
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York
  • Date 2007-08-14
  • Illustrated Yes
  • ISBN 9780387330617 / 0387330615
  • Weight 1.12 lbs (0.51 kg)
  • Dimensions 8.48 x 5.9 x 0.66 in (21.54 x 14.99 x 1.68 cm)
  • Library of Congress subjects Mathematics - History
  • Dewey Decimal Code 510
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Mathematical Masterpieces : Further Chronicles by the Explorers
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Mathematical Masterpieces : Further Chronicles by the Explorers

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Mathematical Masterpieces : Further Chronicles by the Explorers
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MATHEMATICAL MASTERPIECES
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MATHEMATICAL MASTERPIECES

by KNOEBEL, A., LAUBENBACHER, R., LODDER, J., PENGELLEY, D. ,

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Mathematical Masterpieces: Further Chronicles by the Explorers
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