The Book of Numbers

ISBN-13: 9781461284888 / Angielski / Miękka / 2011 / 310 str.

John H. Conway; Richard Guy

Opis

In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with each other and with readers. John Conway is the showman, master of mathematical games and flamboyant presentations; Richard Guy is the encyclopedist, always on top of problems waiting to be solved. Together they show us why patterns and properties of numbers have captivated mathematicians and non-mathematicians alike for centuries. THE BOOK OF NUMBERS features Conway and Guy's favorite stories about all the kinds of numbers any of us is likely to encounter, and many others besides. "Our aim," the authors write, "is to bring to the inquisitive reader. . .an explanation of the many ways the word 'number' is used." They explore patterns that emerge in arithmetic, algebra, and geometry, describe these pattern' relevance both inside and outside mathematics, and introduce the strange worlds of complex, transcendental, and surreal numbers. This unique book brings together facts, pictures and stories about numbers in a way that no one but an extraordinarily talented pair of mathematician/writers could do.

Recenzje

From the reviews:

"This is a really fascinating book either to read or to browse in, or for reference - there is a good index, and I can strongly recommend it - it should be in every school and college library!" The Mathematical Gazette

"... A delightful look at numbers and their roles in everything from language to flowers to the imagination." Science News

"... The great feature of the book is that anyone can read it without excessive head scratching ... You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." New Scientist

Spis treści

1. The Romance of Numbers 2. Figures from Figures Doing Arithmetic and Algebra by Geometry 3. What Comes Next? 4. Famous Families of Numbers 5. The Primacy of Primes 6. Further Fruitfulness of Fractions 7. Geometric Problems and Algebraic Numbers 8. Imagining Imaginary Numbers 9. Some Transcendental Numbers 10. Infinite and Infinitesimal Numbers

O autorze

John Horton Conway is a world famous professor of mathematics at Princeton University, and inventor of The Game of Life. Previous books include On Numbers and Games, and Sphere Packing, Lattices and Groups. Richard K. Guy is professor emeritus of mathematics at the University of Calgary, with more than 200 publications and 10 books to his credit. Potential readers include the audience for The Mathematical Tourist (Ivars Petersen, Freeman); A Mathematician Reads the Newspaper (Paulos); A Tour of Calculus (Berlinsky); and Longitude (Sobel).