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Number TheoryCurated Directory — Courses, Videos, Books & Websites

15 Resources

6 Books

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Number Theory

What Is Number Theory?

Journal of Number Theory | ScienceDirect.com by Elsevier

About Number Theory

Dive into the fascinating world of Number Theory, where we explore the properties and relationships of integers. From prime numbers and divisibility rules to modular arithmetic and the mysteries of mathematical proofs, u…

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Number Theory

Number Theory

This textbook provides a comprehensive introduction to the subject through a combinatorial approach, making it unique and accessible. It covers topics like divisibility, partitions, and the distribution of primes in an engaging manner. **Author:** George E. Andrews **ISBN:** 9780486682525

George E. Andrews

What Is Number Theory?

What Is Number Theory?

Number theory is the study of the set of positive whole numbers 1,2,3,4,5,6,7,..., which are often called the set of natural numbers.

Natural Numbers

Journal of Number Theory | ScienceDirect.com by Elsevier

Journal of Number Theory | ScienceDirect.com by Elsevier

The Journal of Number Theory publishes peer-reviewed original research across analytic, algebraic, computational and arithmetic-geometry directions, focusing on new theorems, explicit constructions, and computational experiments that push current methods. For practitioners and graduate researchers it delivers concrete learning value—novel proof techniques, implementable algorithms, data-driven heuristics and clearly stated open problems you can adopt directly into research projects or coursework. Choose JNT when you need rigorous, specialist advances and usable methods and references to extend your work; if you want broad pedagogical surveys or elementary introductions, pair it with textbooks or review articles instead.

Academic Journal

Number theory

Number theory

Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers

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Top Number Theory Resources

Number Theory

Number Theory

This textbook provides a comprehensive introduction to the subject through a combinatorial approach, making it unique and accessible. It covers topics like divisibility, partitions, and the distribution of primes in an engaging manner. **Author:** George E. Andrews **ISBN:** 9780486682525

George E. Andrews

What Is Number Theory?

What Is Number Theory?

Number theory is the study of the set of positive whole numbers 1,2,3,4,5,6,7,..., which are often called the set of natural numbers.

Natural Numbers

Journal of Number Theory | ScienceDirect.com by Elsevier

Journal of Number Theory | ScienceDirect.com by Elsevier

The Journal of Number Theory publishes peer-reviewed original research across analytic, algebraic, computational and arithmetic-geometry directions, focusing on new theorems, explicit constructions, and computational experiments that push current methods. For practitioners and graduate researchers it delivers concrete learning value—novel proof techniques, implementable algorithms, data-driven heuristics and clearly stated open problems you can adopt directly into research projects or coursework. Choose JNT when you need rigorous, specialist advances and usable methods and references to extend your work; if you want broad pedagogical surveys or elementary introductions, pair it with textbooks or review articles instead.

Academic Journal

Number theory

Number theory

Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers

Number Theory: In Context and Interactive (A Free Textbook)

Number Theory: In Context and Interactive (A Free Textbook)

A free textbook for an upper-level (US) number theory course, with a clear vision to expose students to the connections to all areas of mathematics.

Interactive Textbook

Number Theory - Mathematics & Statistics - UNC Greensboro

Number Theory - Mathematics & Statistics - UNC Greensboro

Number theory is one of the oldest research areas in pure mathematics. It is concerned with the study of integers (in particular prime numbers) and ...

Pure Mathematics

An Introduction to Number Theory | Springer Nature Link

An Introduction to Number Theory | Springer Nature Link

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers.

Unique Factorization

Recreations in the Theory of Numbers

Recreations in the Theory of Numbers

This volume explores the fun and playful side of number theory through puzzles, paradoxes, and intriguing numerical properties. It demonstrates how complex mathematical ideas can be discovered through recreational exploration and curiosity. **Author:** Albert H. Beiler **ISBN:** 9780486210964

Albert H. Beiler

5.2Introduction to Number Theory

5.2Introduction to Number Theory

This is the main question of number theory: a huge, ancient, complex, and above all, beautiful branch of mathematics provided n÷m n ÷ m is an integer.

Number Theory Introduction

Introductory Algebraic Number Theory

Introductory Algebraic Number Theory

Ireland and Rosen systematically develop the tools of algebraic number theory—number fields, rings of integers, norms and discriminants, ideal factorization and class groups—while demonstrating explicit computations in key examples. Their clear proofs of central results (Minkowski’s bound, Dirichlet’s unit theorem, reciprocity laws) combined with abundant worked problems give you the practical ability to compute class groups, units, and factorization of primes and to tackle concrete Diophantine questions. Best for advanced undergraduates or beginning graduates comfortable with abstract algebra, the book trains you in hands-on techniques and problem-solving skills that directly prepare you for computational or research work in arithmetic.

K. Ireland and M. Rosen

Number Theory

Number Theory

Subjects: Number Theory (math.NT); Primitive inhomogeneous approximation for fixed non-singular frequencies Xueyin Wang. Finding the complement of an elliptic ...

Primitive Approximation

The Theory of Numbers

The Theory of Numbers

A concise and focused introduction to the core principles of the discipline, including prime numbers and modular arithmetic. It is highly regarded for its clarity and is ideal for quick reference or focused self-study. **Author:** Robert D. Carmichael **ISBN:** 9781602061590

Robert D. Carmichael

Why are mathematicians so fascinated with number theory?

Why are mathematicians so fascinated with number theory?

Number theory is an instance of mathematics that is easy to ask about but very hard to answer. Many important questions in number theory can be ...

Number Theory and Its History

Number Theory and Its History

This book combines a rigorous introduction to number theory with a rich historical narrative of its development from ancient times. It is perfect for those who want to understand the logic and human story behind mathematical formulas. **Author:** Oystein Ore **ISBN:** 9780486656205

Elementary Number Theory

Elementary Number Theory

An approachable and classic text that focuses on the fundamental concepts of integers and congruences without requiring advanced calculus. It features clear proofs and numerous exercises to help readers build a strong foundation in the field. **Author:** Underwood Dudley **ISBN:** 9780486469317

Underwood Dudley

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