SUMMARY
The forum discussion centers on recommended number theory books suitable for various levels of expertise. Key titles mentioned include "Prime Numbers: A Computational Perspective" by Carl Pomerance, "Number Theory for Computing" by Yan, "A Computational Introduction to Number Theory and Algebra" by Shoup, and "Number Theory with Computer Applications" by Kumanduri. Additionally, "Algorithmische Zahlentheorie" by Forster is noted as a valuable resource, although it is less accessible due to its German language. These texts cater to individuals with a foundational understanding of elementary number theory and algebra.
PREREQUISITES
- Elementary number theory knowledge
- Basic algebra background
- Familiarity with computational methods in mathematics
- Understanding of algorithmic concepts
NEXT STEPS
- Research "Prime Numbers: A Computational Perspective" by Carl Pomerance
- Explore "Number Theory for Computing" by Yan for practical applications
- Study "A Computational Introduction to Number Theory and Algebra" by Shoup for foundational concepts
- Investigate "Algorithmische Zahlentheorie" by Forster for advanced German-language resources
USEFUL FOR
Students, educators, and researchers in mathematics, particularly those interested in number theory and its computational applications.