Prime Numbers A Computational Perspective
“Prime Numbers: A Computational Perspective” by Richard Crandall is a comprehensive exploration of prime numbers, published by Springer New York on October 29, 2010. This softcover reprint of the hardcover 2nd edition from 2005 spans 597 pages and is presented in English. The book focuses on the computational aspects of prime numbers, addressing fundamental questions that have intrigued mathematicians for centuries. It includes over 100 explicit algorithms in detailed pseudocode, making complex concepts accessible to readers.
Readers will find a thorough examination of recognizing primes and discovering the fundamental prime factors of numbers. The text also features applications and theoretical discussions that highlight the practical power of the algorithms presented. The updated edition incorporates new material on primality and algorithms, along with revisions throughout to reflect the latest numerical records in the field of number theory. This work serves as a valuable resource for those interested in mathematics, particularly in the subjects of number theory and algebra.
Official synopsis Publisher
Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. Yet, some of the simplest questions about primes have stumped humankind for millennia. In this book, the authors concentrate on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. Over 100 explicit algorithms cast in detailed pseudocode are included in the book. Applications and theoretical digressions serve to illuminate, justify, and underscore the practical power of these algorithms. The 2nd edition adds new material on primality and algorithms and updates all the numerical records, such as the largest prime, etc. It has been revised throughout.
From the reviews of the first edition:
…Prime Numbers is a welcome addition to the literature of number theory – comprehensive, up-to-date and written with style.
American Scientist
… Crandall and Pomerance have written a terrific book.
Bulletin of the AMS
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