Top rated number theory books

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AI-generated summary · updated July 27, 2026 · verify details before purchase.

1 Classic textbook Oxford University Press, USA
An Introduction to the Theory of Numbers

4.4/5 $70.35

A rigorous and comprehensive introduction by Niven, Zuckerman, and Montgomery, widely used in undergraduate courses.
- Clear and thorough exposition
- Excellent problem sets
- Covers a broad range of topics
- Not for casual readers
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2 Best for beginners PEARSON EDUCATION
A Friendly Introduction to Number Theory

4.5/5 $18.34

Joseph Silverman's accessible text with a conversational tone, perfect for self-study or first exposure.
- Very readable
- Engaging historical context
- Good exercises with solutions
- Less depth for advanced students
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3 Best for self-study Springer
Elementary Number Theory

4.3/5 $25.59

David Burton's classic book with historical notes and many examples, suitable for undergraduates.
- Historical approach
- Well-organized
- Many practice problems
- Some sections outdated
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4 Best problem collection Birkhauser
Number Theory: Structures, Examples, and Problems

4.6/5 $64.10 Only 7 left

Titu Andreescu and Dorin Andrica's problem-based approach with rigorous theory and challenging exercises.
- Rich problem sets
- Olympiad-level challenges
- Clear theoretical foundation
- Advanced for beginners
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5 Classic reference Oxford University Press, USA
An Introduction to the Theory of Numbers (Hardy and Wright)

4.5/5 $137.49 Only 1 left

Hardy and Wright's influential classic, known for its elegant style and deep insights.
- Beautiful prose
- Profound insights
- Historical significance
- Dense notation
- Outdated in some areas
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6 Graduate-level introduction Springer
Ireland & Rosen: A Classical Introduction to Modern Number Theory

4.2/5 $43.91 Only 2 left

A rigorous text covering algebraic number theory and analytic methods, suitable for advanced students.
- Rigorous and modern
- Covers algebraic number theory
- Good for bridging to research
- Requires strong background
- Not for beginners
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7 Best budget pick Oxford University Press, USA
Number Theory: Step by Step

4.4/5 $43.26

Kuldeep Singh's clear step-by-step approach with many examples, ideal for self-learners.
- Affordable price
- Very clear explanations
- Good for revision
- Limited advanced topics
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8 Problem solvers Jones & Bartlett Learning
The Theory of Numbers: A Text and Source Book of Problems

4.3/5 $255.40 Only 1 left

By Andrew Adler and John Coury, featuring over 1,000 problems with solutions, great for competition training.
- Extensive problem bank
- Solutions included
- Covers foundational theory
- Not a standalone textbook
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Buying advice

Consider your level: beginners should start with Silverman or Burton; more advanced readers may prefer Hardy & Wright or Ireland & Rosen. Look for used copies to save money. Check that the edition is recent enough to include modern notations.

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Top rated number theory books

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