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Factorization and Primality Testing (Undergraduate Texts in Mathematics)

Factorization and Primality Testing (Undergraduate Texts in Mathematics)

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Factorization and Primality Testing (Undergraduate Texts in Mathematics)

Factorization and Primality Testing (Undergraduate Texts in Mathematics) Summary:

 
By David M. Bressoud
  • Publisher:   Springer
  • Number Of Pages:   260
  • Publication Date:   1989-10-02
  • ISBN-10 / ASIN:   0387970401
  • ISBN-13 / EAN:   9780387970400
Product Description:

This book focuses on a single problem: how to factor a large integer or prove its prime. From the Sieve of Eratosthenes of ancient Greece to the Multiple Polynomial Quadratic Sieve and the Elliptic Curve Methods discovered in the past few years, this self-contained text provides a survey of the heritage and an introduction to the current research in this field. It can also be used as an introduction to Number Theory and has the advantage over most texts in this area of being built around a unifying theme. With its strong emphasis on algorithms, it encourages learning through computation and experimentation.


Summary: Excellent Text on Factorization
Rating: 4

This is one of the most compact and best organization of material on the subject of factorization and primality.

Written by a promising author, this book explores factorization from the beginning to end, starting with the sieve of Eratosthenes and proceeding to much more complicated material. The book focuses on algorithms, and contains many useful ones, such as how to raise a number a to a power b, mod m. However, the primary focus of the book is factorization, so it contains algorithms for factorizations. They begin with trial division, then progress into Fermat's Algorithm and Pollard Rho. They eventually evolve into one of the strongest methods to date, Quadratic Sieve, and its child, Multiple Polynomial Quadratic Sieve.

This book is certainly a must for amateurs who are exploring the subject.

Summary: Just the facts mam, just the facts.
Rating: 4

This book gives you the juicy bits you want for factoring and primality testing. It skips all the theory and presents the algorithims before you to observe and play with. For the amateur, this is an excellent first book.


 

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Factorization and Primality Testing (Undergraduate Texts in Mathematics) Keywords

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