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  2. Number Theory

Number Theory Courses

Number theory courses can help you learn prime numbers, divisibility rules, modular arithmetic, and integer properties. You can build skills in problem-solving, logical reasoning, and algorithmic thinking, that support tackling complex mathematical challenges. Many courses introduce tools like Python for implementing algorithms and mathematical software for exploring number patterns, enabling you to apply your knowledge in practical situations such as cryptography and coding theory.

Popular Number Theory Courses and Certifications


  • U

    University of California San Diego

    Number Theory and Cryptography

    4.5 stars, 610 reviews, Beginner, Course

    ★ 4.5 (610) · Beginner · Course

  • J

    Johns Hopkins University

    Linear Algebra from Elementary to Advanced

    Skills you'll gain: Linear Algebra, Applied Mathematics, Algebra, Artificial Intelligence and Machine Learning (AI/ML), Geometry, Markov Model

    4.7 stars, 248 reviews, Beginner, Specialization, 3 - 6 Months

    ★ 4.7 (248) · Beginner · Specialization · 3 - 6 Months

  • U

    University of California San Diego

    Introduction to Discrete Mathematics for Computer Science

    Skills you'll gain: Graph Theory, Logical Reasoning, Cryptographic Protocols, Combinatorics, Deductive Reasoning, Cryptography, Probability, Key Management, Encryption, Algorithms, Theoretical Computer Science, Python Programming, Arithmetic, Computer Programming, Mathematical Modeling, Programming Principles, Statistics, Program Development

    4.5 stars, 3.7K reviews, Beginner, Specialization, 3 - 6 Months

    ★ 4.5 (3.7K) · Beginner · Specialization · 3 - 6 Months

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  • S

    Stanford Online

    Introduction to Mathematical Thinking

    Skills you'll gain: Mathematical Theory & Analysis, Logical Reasoning, Deductive Reasoning, Critical Thinking, Calculus

    4.8 stars, 3K reviews, Intermediate, Course, 1 - 3 Months

    ★ 4.8 (3K) · Intermediate · Course · 1 - 3 Months

  • P

    Princeton University

    Computer Science: Algorithms, Theory, and Machines

    Skills you'll gain: Theoretical Computer Science, Data Structures, Computer Science, Computer Architecture, Computer Systems, Algorithms, Computer Programming, Hardware Architecture, Computational Logic, Java Programming, Computer Hardware

    4.6 stars, 807 reviews, Intermediate, Course, 1 - 3 Months

    ★ 4.6 (807) · Intermediate · Course · 1 - 3 Months

    Category: Free
    Free
  • What brings you to Coursera today?

  • U

    University of California San Diego

    Combinatorics and Probability

    Skills you'll gain: Combinatorics, Probability, Algorithms, Mathematical Modeling, Programming Principles, Statistics, Arithmetic, Program Development, Python Programming

    4.6 stars, 874 reviews, Beginner, Course, 1 - 3 Months

    ★ 4.6 (874) · Beginner · Course · 1 - 3 Months

  • U

    University of Pittsburgh

    Mathematical Foundations for Data Science and Analytics

    Skills you'll gain: Statistical Analysis, NumPy, Probability Distribution, Matplotlib, Plot (Graphics), Statistics, Data Science, Probability & Statistics, Probability, Statistical Modeling, Predictive Modeling, Data Analysis, Linear Algebra, Predictive Analytics, Statistical Methods, Mathematics and Mathematical Modeling, Applied Mathematics, Python Programming, Machine Learning, Logical Reasoning

    3.6 stars, 16 reviews, Beginner, Specialization, 1 - 3 Months

    ★ 3.6 (16) · Beginner · Specialization · 1 - 3 Months

  • T

    The Hong Kong University of Science and Technology

    Fibonacci Numbers and the Golden Ratio

    Skills you'll gain: Geometry, Algebra, General Mathematics

    4.8 stars, 1.2K reviews, Beginner, Course, 1 - 4 Weeks

    ★ 4.8 (1.2K) · Beginner · Course · 1 - 4 Weeks

  • U

    University of California San Diego

    Introduction to Graph Theory

    Skills you'll gain: Graph Theory, Algorithms

    4.5 stars, 1.1K reviews, Beginner, Course, 1 - 3 Months

    ★ 4.5 (1.1K) · Beginner · Course · 1 - 3 Months

  • P

    Princeton University

    Analytic Combinatorics

    Skills you'll gain: Combinatorics, Mathematical Theory & Analysis, Calculus

    4.6 stars, 76 reviews, Intermediate, Course, 1 - 3 Months

    ★ 4.6 (76) · Intermediate · Course · 1 - 3 Months

    Category: Free
    Free
  • B

    Birla Institute of Technology & Science, Pilani

    Mathematics for Engineering

    Skills you'll gain: Data Analysis, Computational Logic, Engineering Calculations, Integral Calculus, Trigonometry, Linear Algebra, Engineering Analysis, Logical Reasoning, Deductive Reasoning, Probability & Statistics, Statistical Analysis, Calculus, Statistics, Statistical Methods, Bayesian Statistics, Statistical Inference, Theoretical Computer Science, Numerical Analysis, Descriptive Analytics, Applied Mathematics

    4.5 stars, 207 reviews, Beginner, Specialization, 3 - 6 Months

    ★ 4.5 (207) · Beginner · Specialization · 3 - 6 Months

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Best free Number Theory courses

High-quality free Number Theory courses you can start today.

  1. 1
    Introduction to Mathematical Thinking
    Stanford OnlineIntermediate1 - 3 Months4.8(3,043)Free
  2. 2
    Computer Science: Algorithms, Theory, and Machines
    Princeton UniversityIntermediate1 - 3 Months4.6(807)Free
  3. 3
    Fibonacci Numbers and the Golden Ratio
    The Hong Kong University of Science and TechnologyBeginner1 - 4 Weeks4.8(1,200)Free

Best Number Theory courses from University of California San Diego

Top-rated Number Theory courses offered by University of California San Diego on Coursera.

  1. 1
    Number Theory and Cryptography
    University of California San DiegoBeginnerUniversity of California San Diego
  2. 2
    Introduction to Discrete Mathematics for Computer Science
    University of California San DiegoBeginner3 - 6 Months4.5(3,709)University of California San Diego
  3. 3
    Combinatorics and Probability
    University of California San DiegoBeginner1 - 3 Months4.6(874)University of California San Diego

Best Number Theory certificate programs

Earn a certificate in Number Theory from top universities and companies.

  1. 1
    Linear Algebra from Elementary to Advanced
    Johns Hopkins UniversityBeginner3 - 6 Months4.7(248)Specialization
  2. 2
    Mathematical Foundations for Data Science and Analytics
    University of PittsburghBeginner1 - 3 Months3.6(16)Specialization
  3. 3
    Mathematics for Engineering
    Birla Institute of Technology & Science, PilaniBeginner3 - 6 Months4.5(207)Specialization

Best Number Theory courses for beginners

Top-rated beginner-friendly Number Theory courses with no prerequisites.

  1. 1
    Introduction to Graph Theory
    University of California San DiegoBeginner1 - 3 Months4.5(1,073)No prerequisites
  2. 2
    Discrete Mathematical Tools for Computer Science
    The Hong Kong University of Science and TechnologyBeginner3 - 6 Months4.9(5)No prerequisites

Skills you can learn in Machine Learning

Python Programming (33)
Tensorflow (32)
Deep Learning (30)
Artificial Neural Network (24)
Big Data (18)
Statistical Classification (17)
Reinforcement Learning (13)
Algebra (10)
Bayesian (10)
Linear Algebra (10)
Linear Regression (9)
Numpy (9)

Frequently Asked Questions about Number Theory

Number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It is important because it forms the foundation for various fields, including cryptography, computer science, and algebra. Understanding number theory can enhance problem-solving skills and logical reasoning, which are essential in many scientific and technological applications.‎

Careers related to number theory often involve roles in data analysis, cryptography, and algorithm development. Positions such as data scientist, cryptographer, and mathematician are common. Additionally, industries like finance, cybersecurity, and academia value expertise in number theory, making it a versatile skill set for various job opportunities.‎

To learn number theory effectively, you should focus on developing strong analytical skills, mathematical reasoning, and problem-solving abilities. Familiarity with algebra and basic calculus can also be beneficial. Additionally, programming skills, particularly in languages like Python, can enhance your ability to apply number theory concepts in practical scenarios.‎

Some of the best online courses for number theory include Number Theory and Cryptography, which explores the connections between number theory and cryptographic applications. These courses often provide a mix of theoretical knowledge and practical exercises to help learners grasp complex concepts.‎

Yes. You can start learning number theory on Coursera for free in two ways:

  1. Preview the first module of many number theory courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in number theory, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn number theory, start by exploring introductory courses that cover basic concepts and gradually progress to more advanced topics. Engage with practice problems and real-world applications to reinforce your understanding. Joining study groups or online forums can also provide support and enhance your learning experience.‎

Typical topics covered in number theory courses include prime numbers, divisibility, modular arithmetic, and theorems such as the Fundamental Theorem of Arithmetic. Advanced courses may also explore topics like Diophantine equations, number patterns, and applications in cryptography and computer science.‎

For training and upskilling employees, courses like Number Theory and Cryptography are particularly beneficial. They provide practical applications of number theory in fields such as cybersecurity and data protection, making them valuable for professionals looking to enhance their skills in a technology-driven environment.‎

This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

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