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This book bridges the gap between theoretical and computational aspects of prime numbers...prime numbers beckon to the beginner, as the basic notion of primality is accessible even to children. Yet, some of the simplest questions about primes have confounded humankind for millennia. In the new edition of this highly successful book, Richard Crandall and Carl Pomerance have provided updated material on theoretical, computational, and algorithmic fronts.
Item #:
21187347
Prime Numbers: A Computational Perspective
89% of respondents would recommend this to a friend
Item #:
21187347
CAD 336
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This book bridges the gap between theoretical and computational aspects of prime numbers...prime numbers beckon to the beginner, as the basic notion of primality is accessible even to children. Yet, some of the simplest questions about primes have confounded humankind for millennia. In the new edition of this highly successful book, Richard Crandall and Carl Pomerance have provided updated material on theoretical, computational, and algorithmic fronts.
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What Stands Out
Comprehensive Analysis
This edition offers an in-depth exploration of prime numbers, combining theory and computational methods, making it essential for students and researchers in mathematics and computer science fields.
Updated Research
Incorporates the latest findings and computational techniques, providing readers with current methodologies and insights, enhancing their understanding and appreciation of prime number studies.
Practical Applications
Highlights real-world applications of prime numbers in cryptography and algorithm design, aiding readers in connecting theoretical concepts with practical use in technology and cybersecurity.
Product Details
- Bridges theoretical and computational aspects of prime numbers
- Contains a comprehensive set of exercises and research problems
- Provides updated material on theoretical, computational, and algorithmic fronts
- Includes results such as the AKS test for recognizing primes and computational evidence for the Riemann hypothesis
- Authored by Richard Crandall, an Apple Distinguished Scientist, and Carl Pomerance, a professor at Dartmouth College
- Considered a definitive textbook conveying modern computational ideas about prime numbers and factoring
| Publisher | Springer |
| Publication date | August 4, 2005 |
| Edition | 2nd |
| Language | English |
| Print length | 612 pages |
| ISBN-10 | 0387252827 |
| ISBN-13 | 978-0387252827 |
| Item Weight | 2.53 pounds (1.15 kg) |
| Dimensions | 6.36 x 1.32 x 9.54 inches (16.2 x 3.4 x 24.2 cm) |
Who Should Buy?
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Computer Scientists
Ideal for computer science professionals focusing on algorithms and computational methods related to prime numbers and cryptography.
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Mathematics Students
Beneficial for students studying number theory or advanced mathematics and looking for computational techniques and insights.
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Researchers
Suitable for researchers in mathematics and computer science, providing a thorough exploration of prime numbers and their applications.
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Casual Readers
Not suitable for casual readers without a strong foundation in mathematics or computational theory, as it is highly technical.
Product Description
Prime Numbers: A Computational Perspective
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Product Buying Guide
For individuals fascinated by prime numbers and those seeking a deep dive into the theoretical and computational aspects of prime numbers, the book 'Prime Numbers: A Computational Perspective 2nd Edition' offers a comprehensive resource. Authored by Richard Crandall and Carl Pomerance, the book has received accolades for its accessibility, rich content, and practical relevance. With a focus on bridging the gap between theoretical aspects and computational applications of prime numbers, this book serves as an invaluable guide for both students and enthusiasts.
Product Specifications
- Authors: Richard Crandall, Carl Pomerance
- Publisher: Springer
- Edition: 2nd Edition
- Publication Year: 2006
- Pages: 597
- Language: English
- ISBN-10: 0387252826
- ISBN-13: 978-0387252827
Key Features
- Bridges the gap between theoretical and computational aspects of prime numbers
- Updated material on theoretical, computational, and algorithmic fronts
- Incorporates new results and developments in the theory of prime numbers
- Presents a rich and beautiful set of exercises and research problems
- Authored by Richard Crandall, an accomplished scientist in interdisciplinary scientific computation
Usage Scenarios
- Ideal for students and professionals interested in computational number theory
- Useful for those seeking to understand the algorithms, implementation, and practical applications of prime numbers
- Suitable for graduate and undergraduate courses on computational theory and number theory
Usage Scenarios
- An Introduction to the Theory of Numbers by G.H. Hardy
- Elementary Number Theory by David M. Burton
- Algorithmic Number Theory by Eric Bach, Jeffrey Shallit
Some User Review
- The book is an excellent resource for anyone who wants to understand these algorithms, learn how to implement them, and make them go fast. It's also a lot of fun to read! - BULLETIN OF THE AMS
- This book is a very successful attempt of the authors to describe the current state-of-the-art of computational number theory. Warmly recommended... - Nieuw Archief voor Wiskunde
- Destined to become a definitive textbook conveying the most modern computational ideas about prime numbers and factoring. A welcome addition to the literature of number theory. - L'Enseignement Mathématique
Competitors
- The price of the book may vary based on the edition, condition, and seller. It is recommended to compare prices from various retailers to find the best deal.
Buying Considerations
- Consider whether you are primarily interested in the theoretical or computational aspects of prime numbers to ensure that this book aligns with your objectives.
- Check the availability of the book from reputable retailers or online platforms, ensuring that you are purchasing the authorized edition with valid ISBN.
Conclusion
The 'Prime Numbers: A Computational Perspective 2nd Edition' serves as an unparalleled resource for diving into the theoretical and computational aspects of prime numbers. With its rich content, updated material, and in-depth exercises, it offers an engaging and enlightening reading experience for students and enthusiasts alike.
View LessFor individuals fascinated by prime numbers and those seeking a deep dive into the theoretical and computational aspects of prime numbers, the book 'Prime Numbers: A Computational Perspective 2nd Edition' offers a comprehensive resource. Authored by Richard Crandall and Carl Pomerance, the book has received accolades for its accessibility, rich content, and practical relevance. With a focus on bridging the gap between theoretical aspects and computational applications of prime numbers, this book serves as an invaluable guide for both students and enthusiasts. Continue Reading
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Number Theory Editorial Review
**** "Prime Numbers: A Computational Perspective, 2nd Edition" has garnered a varied reception from readers, reflecting the complexity and depth of the material presented. The book stands out for its comprehensive coverage of prime numbers and related topics, with insights drawn from research up to 2004. Many reviewers praised the extensive range of exercises at the end of each chapter, highlighting the presence of intriguing puzzles that enhance the learning experience. This feature has been particularly beneficial for those looking to deepen their understanding of the subject matter. However, potential readers should be aware that this book is tailored for individuals with a solid foundation in number theory and a basic understanding of abstract algebra. Several reviewers noted that, at times, the content could feel dense or compressed, which might make it challenging for those with only modest experience in these areas. While some found the writing to be overly wordy—focusing more on verbal explanations rather than mathematical proofs or theorems—others appreciated the detailed discussions that accompany complex concepts. The book has also been recognized as a valuable resource in practical applications, such as computer security, where understanding prime numbers is crucial. Despite the diverse opinions, "Prime Numbers: A Computational Perspective" is deemed a worthwhile investment for those eager to explore the computational facets of prime numbers and their significance. **
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Pros
- Covers a wide range of topics up to recent research (2004).
- Contains sets of challenging exercises and puzzles at the end of each chapter.
- Useful for practical applications in fields such as computer security.
- Well-structured material focused on the computational perspective of prime numbers.
Cons
- Requires a strong background in number theory and some abstract algebra to fully comprehend.
Product Price History
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CAD 336
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Features & Benefits
- Bridges the gap between theoretical and computational aspect of prime numbers
- Book considers the ways to recognize primes, count them, compute them, and test conjectures about them
- Each chapter has interesting exercises and research problems
- Updated material on theoretical, computational, and algorithmic fronts in the new edition
- Authors provide new computational records and survey new developments in prime number theory
- Numerous exercises have been added in the new edition
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