What topics does Prime Numbers: A Computational Perspective 2nd Edition cover?

This book comprehensively covers the mathematical theory of prime numbers, including algorithms for prime factorization and primality testing. The second edition dives deeper into computational techniques that can be applied to generate and analyze prime numbers. Practical scenarios include using these concepts in cryptography and computer science applications, making the content relevant for both advanced students and professionals in the field.

Who is the author of Prime Numbers: A Computational Perspective 2nd Edition?

The author of this book is highlighted for their expertise in computational mathematics and research in number theory. Their background provides credibility to the content, ensuring that readers benefit from authoritative insights. This is particularly useful for graduate students and professionals seeking authoritative reference material in computational aspects of prime numbers.

Is Prime Numbers: A Computational Perspective 2nd Edition suitable for beginners?

While the book can be used by motivated beginners, it is primarily targeted at those with a foundation in mathematics, especially number theory. To get the most out of it, readers should have an understanding of basic mathematical principles. It’s a great resource for learners who want to delve deeper into computations and prime number theory as they advance in their studies.

What are the key differences between the first and second editions of the book?

The second edition introduces updated algorithms and additional examples that reflect recent advancements in computational number theory. It also incorporates reader feedback, enhancing clarity and practical application of concepts discussed. This makes it a more effective tool for both learning and reference compared to its predecessor, especially for those working on computational problems involving prime numbers.

Are there exercises or problems included in the book?

Yes, Prime Numbers: A Computational Perspective 2nd Edition includes various exercises and problems designed to reinforce understanding and application of the concepts presented. These problems are developed to challenge readers and provide practical scenarios where they can apply computational methods to solve issues related to prime numbers, making it a beneficial resource for both self-study and instructional courses.

How can this book help in the field of cryptography?

This book discusses prime numbers' vital role in cryptography, particularly in algorithms that secure digital communications. Understanding prime factorization and primality testing can lead to implementing robust encryption mechanisms. For instance, readers can apply knowledge from the book to improve security in applications like online banking and secure messaging.

What audience would benefit the most from this book?

This book is ideal for advanced undergraduate and graduate students, as well as professionals in fields like computer science, data analysis, and cryptography. It provides a deep dive into computational principles essential for tackling complex problems, making it an essential text for anyone specializing in mathematical computing or algorithm development.

Does the book provide historical context on prime numbers?

Absolutely, the book includes historical insights on the discovery and significance of prime numbers, tracing their evolution through mathematics. This context enriches the understanding of the subject, illustrating how these concepts have influenced modern computational techniques. Thus, readers not only learn the mechanics of prime numbers but also their historical implications in various scientific advancements.

Can I find recent research or advancements in this book?

Yes, the second edition includes discussions on the latest research findings and advancements in algorithms related to prime numbers. This ensures that readers are exposed to cutting-edge techniques and methodologies being used in modern computational mathematics. Such insights are perfect for researchers or students looking to base their work on contemporary developments in the field.

Where can I buy Prime Numbers: A Computational Perspective 2nd Edition?

You can purchase Prime Numbers: A Computational Perspective 2nd Edition from Ubuy in Mexico. Ubuy offers a reliable platform for obtaining this academic resource, ensuring access to this valuable information in computational mathematics.

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Prime Numbers: A Computational Perspective

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.

Nº de artículo: 21187347

Prime Numbers: A Computational Perspective

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Nº de artículo: 21187347

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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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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.

Detalles de producto

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)

¿Quién debería comprarlo?

Computer Scientists
Ideal for computer science professionals focusing on algorithms and computational methods related to prime numbers and cryptography.
Mathematics Students
Beneficial for students studying number theory or advanced mathematics and looking for computational techniques and insights.
Researchers
Suitable for researchers in mathematics and computer science, providing a thorough exploration of prime numbers and their applications.

Casual Readers
Not suitable for casual readers without a strong foundation in mathematics or computational theory, as it is highly technical.

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Prime Numbers: A Computational Perspective

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pregunta: ¿Cómo comprar Prime Numbers: A Computational Perspective en línea desde Ubuy?

respuesta: Es fácil comprar Prime Numbers: A Computational Perspective en línea desde Ubuy.. Solo tiene que buscar el producto, elegir su método de envío al pagar y recibirlo en su ubicación.
pregunta: ¿Está Prime Numbers: A Computational Perspective disponible para comprar en línea en Mexico?

respuesta: Sí, en Ubuy Mexico, este producto está disponible para que lo compre a un precio razonable.. El Prime Numbers: A Computational Perspective no está disponible localmente, pero puede confiar en nosotros con nuestros servicios de envío exprés.
pregunta: ¿Cuánto tiempo se tarda en obtener el producto después de realizar el pedido?

respuesta: El tiempo de entrega de su producto pedido varía según lo que haya pedido y el método de envío que haya elegido.. El tiempo de entrega estimado se menciona durante el proceso de pago, así que no se preocupe mientras compra.

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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Ventajas

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.

Desventajas

Requires a strong background in number theory and some abstract algebra to fully comprehend.

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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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Prime Numbers: A Computational Perspective

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