Lectures on Elementary Number Theory (Dover Books on Mathematics) - Softcover

Rademacher, Hans

Softcover

ISBN 10: 0486856429 ISBN 13: 9780486856421

Publisher: Dover Publications, 2026

Synopsis

A classic guide that leads you from prime numbers to quadratic reciprocity with clarity, intuition, and elegance.

Based on a series of lectures at Haverford College, Hans Rademacher presents an accessible introduction to number theory that blends analysis and algebra. Requiring no prior knowledge of the subject, it covers foundational concepts like prime factorization, quadratic reciprocity, detailed cyclotomy, and Gaussian sums, while previewing analytic number theory. Rademacher’s unique approach remains influential, bridging foundational theory with modern analytical advances.

Key Features and Benefits

• Accessible Entry Point: Requires absolutely no prior knowledge of the subject, making it the perfect gateway for beginners, students, and self-learners.
• Core Foundations Covered: Achieve proficiency in essential concepts, including prime factorization, unique factorization, and the beautiful law of quadratic reciprocity.
• Advanced Analytic Insights: Explore deeper mathematical territory with asymptotic laws, Dirichlet’s theorem on arithmetic progressions, and Brun’s twin prime theorem.
• Unique Combined Approach: Distinctively integrates analytical methods with classic arithmetic results, providing readers with both exact identities and profound asymptotic theories.
• Comprehensive Structure: Features detailed, rigorous sections on cyclotomy, Gaussian sums, and the intricate properties of prime numbers.
• Time-Tested Pedagogical Value: Based on a series of celebrated lectures at Haverford College, ensuring a clear, structured, and engaging learning experience.

Bridging classical number theory and modern analytical approaches, Lectures on Elementary Number Theory is an ideal companion to formal mathematical courses, as well as perfect for self-study.

About this title

About the Author

Hans Adolph Rademacher was a German-born American mathematician, known for work in mathematical analysis and number theory.

Edition details

• Publisher: Dover Publications
• Publication date: 2026
• Language: English
• ISBN 10: 0486856429
• ISBN 13: 9780486856421
• Binding: Paperback
• Number of pages: 160