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A Mathematical spectrum miscellany: Selections from Mathematical spectrum, 1967-1994 Paperback – 2000

4 out of 5 stars 1 customer review

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Product Details

  • Paperback: 198 pages
  • Publisher: Applied Probability Trust (2000)
  • Language: English
  • ISBN-10: 0902016059
  • ISBN-13: 978-0902016057
  • Product Dimensions: 8.4 x 5.8 x 0.7 inches
  • Shipping Weight: 12.6 ounces
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #13,502,141 in Books (See Top 100 in Books)

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This collection of short papers on a wide variety of mathematical topics is an excellent introduction to those topics. There are six main sections:

*) The Spirit of Mathematics.

*) Some History of Mathematics: Biographies of Mathematicians.

*) Recent Advances in Mathematics.

*) The Lure of Pure Mathematics and Geometry.

*) Simple Applications of Mathematics.

*) The Mathematics of Randomness.

Examples of a paper from each section are:

*) How Obvious It It? - a set of quick deductions when the problem appears complex.

*) Women in Mathematics - short biographies of some famous female mathematicians.

*) Fermat's Last Theorem - a Theorem at Last - a brief history of the theorem including the resolution by Andrew Wiles.

*) The Legend of Leonardo of Pisa - a brief biography of Fibonacci.

*) Animal Mathematics - an analysis of why larger and heavier animals cannot fly.

*) A Bayesian Look at the Jury System - an analysis of the probability that a defendant that is found guilty is in fact guilty.

While there are proofs, most are not difficult to follow, and can be understood by a first year college math major. The articles provide a sound selection of brief papers that are well suited for use in a course in the history of mathematics. I also recommend them as the starting point for student research projects.
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