Number-Crunching: Taming Unruly Computational Problems from Mathematical Physics to Science Fiction

Book Details:

• Author: Paul J. Nahin

• Publisher: Princeton University Press

• Binding: Hardcover

• ISBN-13: 9780691144252

• Number of Pages: 408

• Release Date: 28-08-2011

• Languages: English

• Dimensions: 9.4 x 6.5 x 1.0 inches

About The Book:
Number-Crunching: The Art of Solving Mathematical Puzzles with Computers by Paul J. Nahin explores the fascinating intersection of mathematics, physics, and modern computer technology. A renowned best-selling author, Nahin tackles intriguing and unusual math problems, demonstrating how basic mathematical principles can be applied to solve real-world challenges, from fixing broken communications cables at the bottom of the ocean to creating a universal digital library.

In this thought-provoking book, Nahin dives into the evolution of number-crunching since the advent of computers, explaining how high-speed computing is essential to solving complex problems like the three-body problem, Monte Carlo simulations, leapfrog algorithms, and gambler's ruin. He combines historical context with mathematical rigor, providing readers with a deep understanding of how math and computers work together to address today's toughest puzzles.

The book covers a broad spectrum of topics, including:

• Algebra, trigonometry, and geometry

• Calculus and differential equations

• Fourier series and number theory

• Electronics, computers, and their role in solving real-world problems

Nahin offers numerous examples, challenges, and MATLAB codes for the problems discussed, and includes detailed solutions for a better understanding of the concepts. Whether you're a mathematics enthusiast, computer science student, or someone interested in the relationship between math, physics, and technology, Number-Crunching is an invaluable resource.

This engaging, accessible, and insightful book will captivate anyone curious about how mathematical principles and computing power combine to solve problems that once seemed impossible.