Peter Hilton, Derek Holton, Jean Pedersen

eBook, PDF

Mathematical Reflections (eBook, PDF)

In a Room with Many Mirrors

Beschreibung

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 27.89MB

Barrierefreiheit

• Text-to-Speech

Autor

The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The eight topics covered illustrate the unity of mathematical thought as well as the diversity of mathematical ideas; the relaxed and informal discussion makes it clear that mathematics can be exciting and engrossing. The book, which includes recent discoveries that lead to open questions, will give pleasure to anyone interested in the intellectually intriguing aspects of mathematics.

Produktdetails

• Verlag: Springer New York
• Seitenzahl: 352
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461219323
• Artikelnr.: 44178716