Mathematical Reflections : In a Room with Many Mirrors

by Peter Hilton, Derek Holton, Jean Pedersen

33 Members (3.75)

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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 show more 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. show less

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Canonical title
Mathematical Reflections : In a Room with Many Mirrors
Original title
Mathematical Reflections : In a Room with Many Mirrors
Original publication date
1997
Dedication
To those who showed us how enjoyable mathematics can be.
First words
What have Helianthus annuus and Helix pomatia got in common?
Last words
(Click to show. Warning: May contain spoilers.)There is no merit in the teacher completing the syllabus unless the students complete it too!

Classifications

Genres
Nonfiction, Science & Nature
DDC/MDS
510Natural sciences & mathematicsMathematicsMathematics / Graphs
LCC
QA93 .H53ScienceMathematicsMathematics
BISAC

Statistics

Members
33
Popularity
820,550
Rating
(3.75)
Languages
English
Media
Paper, Ebook
ISBNs
3