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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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21187347
Prime Numbers: A Computational Perspective
89% of respondents would recommend this to a friend
Item #:
21187347
MMK 815337
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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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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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MMK 815337
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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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