Mathematical Reflections : In a Room with Many Mirrors

Mathematical Reflections : In a Room with Many Mirrors

Description

A relaxed and informal presentation conveying the joy of mathematical discovery and insight. Frequent questions lead readers to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascals Triangle and paper folding; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics or as enrichment for other courses. It can also be read with pleasure by anyone interested in the intellectually intriguing aspects of mathematics.


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Details

Author(s)
Peter Hilton, Derek Holton, Jean Pedersen
Format
Paperback | 352 pages
Dimensions
178 x 254 x 19.56mm | 706g
Publication date
27 Sep 2012
Publisher
Springer-Verlag New York Inc.
Publication City/Country
New York, NY, United States
Language
English
Edition Statement
Softcover reprint of the original 1st ed. 1997
Illustrations note
3 Tables, black and white; XVI, 352 p.
ISBN10
1461273455
ISBN13
9781461273455