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Mathematics Is Not a Spectator Sport - Tapa dura

Phillips, George

 
9780387255286: Mathematics Is Not a Spectator Sport
Tapa dura
ISBN 10: 0387255281 ISBN 13: 9780387255286
Editorial: Springer, 2005

Sinopsis

Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry

Presents an exciting variety of topics to motivate beginning students

May be used as an introductory course or as background reading

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

George Phillips is Professor of Mathematics at St. Andrews University, Scotland.  He is the author of two previous books also published by Springer, Two Millenia of Mathematics (2000), and Interpolation and Approximation by Polynomials (2003).

De la contraportada

Mathematics Is Not a Spectator Sport challenges the reader to become an active mathematician. Beginning at a gentle pace, the author encourages the reader to get involved, with discussions of an exciting variety of topics, each placed in its historical context, including:


* The surprising achievements of early Babylonian mathematics;

* The fascinating arithmetic of continued fractions;

* Geometric origins of the Euclidean algorithm;

* Infinite sets and the pioneering work of Georg Cantor;

* The sieve of Eratosthenes, which is used for finding primes;

* Gauss's conjecture about the density of primes;

* Special methods for finding really large primes, and a discussion of the famous Riemann hypothesis;

* A combinatorial interpretation of the Fibonacci numbers;

* A study of properties of the triangle, including one named after Napoleon;

* The application of algebraic methods to solve geometrical problems;

* The study of symmetries using algebraic methods;

* The foundations of group theory;

* An algebraic interpretation of the Platonic solids.

The chapters are largely self-contained and each topic can be understood independently. However, the author draws many connections between the various topics to demonstrate their interplay and role within the context of mathematics as a whole. Lots of carefully chosen problems are included at the end of each section to stimulate the reader's development as a mathematician.

This book is intended for those beginning their study of mathematics at the university level, as well as the general reader who would like to learn more about what it means to "do" mathematics.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2005
Idioma
Inglés
ISBN 10 
0387255281
ISBN 13 
9780387255286
Encuadernación
Tapa dura
Número de páginas
256
Contacto del fabricante
no disponible
Persona responsable
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