Mathematical Masterpieces: Further Chronicles by the Explorers

Mathematical Masterpieces: Further Chronicles by the Explorers
ISBN-10
0387330623
ISBN-13
9780387330624
Category
Mathematics
Pages
340
Language
English
Published
2007-10-16
Publisher
Springer Science & Business Media
Authors
Art Knoebel, Reinhard Laubenbacher, Jerry Lodder

Description

Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.

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