The Theory of Numbers - Andrew Wiles from Udemy

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This course is for:

Anyone with inquisitive and open mind
Everyone interested in science and who would like to learn more about theory of numbers and its developments
Anyone with Interest in science
Anyone with true passion for leaning and attaining true knowledge at an affordable price.
Attending the course does not need any scientific skill since it is presented in a clear and simple manner
Anyone who appreciates and admires the knowledge brought to our race from Nobel Prize laureates' works.

With this course you will learn:

Over 22 lectures and 1 hour of content.
22 masterclasses and 1 hour and more of content
You will learn what the theory of numbers is
You will learn how Andrew Wiles discovered his proof of Fermat's Last Theorem
You will learn how mathematicians think while discovering a theorem.

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What's inside

Learning objectives

13 masterclasses and 1 hour and more of content
You will learn what the theory of numbers is

You will learn how andrew wiles discovered his proof of fermat's last theorem

13 masterclasses and 1 hour and more of content
You will learn what the theory of numbers is
You will learn how andrew wiles discovered his proof of fermat's last theorem

Syllabus

The theory of numbers

Introduction

The origins

Pierre de Fermat

Problems and solutions

Last theorem of Fermat

A problem worthy of fame

A series of solutions

Mathematical duels

The resolution of the theorem

A pure science

Halfway Through

Awards of mathematics

Birth of modern mathematics

The charm of the unsolved problems

The grand problems of mathematics

The evolution of the theory of numbers

Supplement

Andrew Wiles

Conclusion

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in The Theory of Numbers - Andrew Wiles with these activities:

Review Basic Number Theory Concepts

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Strengthen your understanding of fundamental number theory concepts to better grasp the advanced topics covered in the course.

Browse courses on Prime Numbers

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Review definitions and examples of prime numbers, divisibility, and modular arithmetic.
Practice solving problems related to the Euclidean Algorithm and GCD/LCM.

Create a Visual Timeline of Number Theory Milestones

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Visualize the historical development of number theory to better understand the context of Fermat's Last Theorem and Andrew Wiles's work.

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Research key milestones in the history of number theory.
Create a visual timeline highlighting these milestones.

Read 'Fermat's Last Theorem' by Amir Aczel

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Gain a deeper appreciation for the historical context and significance of Fermat's Last Theorem, which is central to the course.

View My Search for Ramanujan: How I Learned to Count on Amazon

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Read the book 'Fermat's Last Theorem' by Amir Aczel.
Take notes on key historical figures and mathematical concepts discussed in the book.

Four other activities

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Discuss Course Concepts with Peers

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Reinforce your understanding by discussing course concepts and problem-solving strategies with fellow students.

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Organize a study group with other students in the course.
Discuss challenging concepts and work through practice problems together.

Consult 'An Introduction to the Theory of Numbers' by G.H. Hardy and E.M. Wright

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Deepen your understanding of number theory with a comprehensive reference text.

View An Introduction To The Theory Of Numbers on Amazon

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Obtain a copy of 'An Introduction to the Theory of Numbers' by Hardy and Wright.
Refer to relevant chapters for clarification on course topics.

Write a Short Essay on the Impact of Fermat's Last Theorem

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Solidify your understanding of the theorem and its implications by researching and writing an essay on its impact on mathematics.

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Research the impact of Fermat's Last Theorem on the development of number theory.
Write a 500-word essay summarizing your findings.

Research and Present on a Related Theorem

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Expand your knowledge by researching and presenting on a theorem related to Fermat's Last Theorem, such as the Taniyama-Shimura conjecture.

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Choose a theorem related to Fermat's Last Theorem.
Research the theorem and its proof.
Prepare a presentation summarizing your findings.

Career center

Learners who complete The Theory of Numbers - Andrew Wiles will develop knowledge and skills that may be useful to these careers:

Research Mathematician

A Research Mathematician conducts original research in mathematics, often focusing on specific areas such as number theory. This course is directly relevant to the work of a research mathematician specializing in number theory. The course explores the theory of numbers, as presented in this course, and Fermat's Last Theorem. It also helps research mathematicians understand the evolution of the field. A research mathematician develops new mathematical theories.

See salaries and explore the career path for Research Mathematician

Mathematics Professor

A Mathematics Professor teaches mathematics courses at the college or university level and conducts research in mathematics. Advanced degrees are typically needed to become a mathematics professor. This course on the theory of numbers is directly relevant to the field, as it provides an in-depth exploration of a key area of mathematics. The course would also help professors expand their subject knowledge. The study of the history of mathematical problem-solving is beneficial when teaching mathematical concepts to students. Mathematics professors are responsible for conveying mathematical ideas.

See salaries and explore the career path for Mathematics Professor

Mathematics Teacher

A Mathematics Teacher educates students on mathematical concepts, theories, and applications, fostering their problem-solving and analytical skills. This course helps build a deeper knowledge of mathematics and its history. The course's exploration of the theory of numbers and its evolution provides teachers with valuable background knowledge and historical context that may enrich their lessons and inspire students. This course is aligned with educational standards. A mathematics teacher is in charge of conveying mathematical concepts to students.

See salaries and explore the career path for Mathematics Teacher

Quantitative Analyst

A Quantitative Analyst, often called a quant, develops and implements mathematical models for financial markets. Advanced degrees are common in this field. The theory of numbers, as explored in this course, provides a foundation for understanding mathematical concepts used in quantitative finance. The emphasis of the course on problem-solving and mathematical reasoning helps sharpen the skills needed to design and analyze financial models. A quantitative analyst builds mathematical models.

See salaries and explore the career path for Quantitative Analyst

Cryptographer

A Cryptographer develops and implements algorithms and systems to protect sensitive information. This is a challenging field that requires a deep understanding of mathematics and computer science. Studying the theory of numbers, as presented in this course, may be useful for cryptographers. Many encryption techniques rely on number theory concepts like prime numbers and modular arithmetic. Understanding the historical context of mathematical problems, as emphasized in the course, adds a valuable problem-solving perspective. A cryptographer uses a deep understanding of mathematics to create and break codes.

See salaries and explore the career path for Cryptographer

Curriculum Developer

A Curriculum Developer designs and creates educational materials and curricula for various subjects, ensuring alignment with learning objectives and standards. This course may be useful if you want to design a curriculum related to mathematics. Knowledge of the theory of numbers, as explored in the course, could be of assistance. This course provides developers with a background for creating engaging and effective educational content. Curriculum developers need an extensive knowledge of the field.

See salaries and explore the career path for Curriculum Developer

Data Scientist

A Data Scientist analyzes large datasets to extract meaningful insights and support data-driven decision making. Data science often involves using mathematical models and algorithms to identify patterns and trends. This course may be useful because theory of numbers provides a foundation for understanding some of the mathematical principles used in data analysis. The course emphasizes logical thinking and problem-solving skills, which are essential for data scientists who need to develop creative solutions to complex problems. Data scientists rely of mathematical principles to extract insights.

See salaries and explore the career path for Data Scientist

Economist

An Economist studies the production, distribution, and consumption of goods and services, analyzing economic trends and developing models to predict future economic conditions. Economic models often rely on mathematical principles and quantitative analysis. This course may be useful because theory of numbers showcases the development of mathematical thought. This skill helps economists approach economic problems creatively. An economist develops models to predict economic behavior.

See salaries and explore the career path for Economist

Actuary

An Actuary assesses and manages financial risks, typically for insurance companies or pension funds, using mathematical and statistical models. While this course does not directly cover actuarial science, the rigorous mathematical thinking and problem-solving emphasized in the course may be helpful in this field. Actuaries need to understand and apply mathematical principles to predict future events and assess risk. The course promotes analytical and logical reasoning. An actuary needs a strong understanding of mathematics to quantify risk.

See salaries and explore the career path for Actuary

Statistician

A Statistician collects, analyzes, and interprets numerical data to draw conclusions and make informed decisions. While this course does not directly cover statistical methods, the mathematical rigor and problem-solving skills emphasized in this course may be useful in this field. Statisticians rely on mathematical principles to develop and apply statistical models. This course promotes analytical and logical ways of thinking. A statistician uses mathematics to interpret data.

See salaries and explore the career path for Statistician

Data Analyst

A Data Analyst examines and interprets data to identify trends, patterns, and insights that can help organizations make better decisions. While not directly related, the problem-solving skills developed in this course may be useful for data analysis. Data analysts often need to use mathematical reasoning to interpret data and draw conclusions. The emphasis of this course on logical reasoning and mathematical thinking can strengthen these skills, thus helping data analysts tackle complex analytical challenges. Data analysts are in charge of drawing conclusions from existing datasets.

See salaries and explore the career path for Data Analyst

Financial Analyst

A Financial Analyst analyzes financial data, provides investment recommendations, and helps organizations make informed financial decisions. This course may be useful in this field because theory of numbers involves mathematical reasoning and problem-solving. These skills are highly valuable when analyzing complex financial instruments and markets. The course's exploration into the history of mathematical problem-solving teaches you the importance of understanding the context of economic trends. A financial analyst uses mathematical techniques to analyze financial data.

See salaries and explore the career path for Financial Analyst

Software Engineer

A Software Engineer designs, develops, and maintains software systems and applications. While not directly related to day-to-day tasks, the analytical and problem-solving skills developed in this course may be useful for software engineering. Understanding the underlying principles of mathematics, as emphasized in the course, supports the development of efficient algorithms and data structures. Learning about the history of mathematical thought also enhances your ability to approach programming challenges creatively. Software engineers implement systems and debug novel programs.

See salaries and explore the career path for Software Engineer

Technical Writer

A Technical Writer creates clear and concise documentation for technical products and processes, such as software, hardware, or engineering systems. While not directly related, the analytical thinking and attention to detail emphasized in this course may be useful for technical writers. Understanding the historical context of mathematical problems, as explored in the course, may also enhance their ability to explain complex topics in an understandable way. Technical writers are great at communicating complex subjects.

See salaries and explore the career path for Technical Writer

Financial Planner

A Financial Planner helps individuals and families manage their finances, plan for retirement, and make investment decisions. Though it may not seem connected at first, the financial planner uses some of the concepts learned in this course. Financial planners typically use different methods to come to their conclusions. The course's focus on analytical thinking can help financial planners evaluate complex financial scenarios and develop effective strategies for their clients. A financial planner helps their clients make financial decisions.

See salaries and explore the career path for Financial Planner

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in The Theory of Numbers - Andrew Wiles.

My Search for Ramanujan

Save

Provides a captivating narrative of the history and the eventual proof of Fermat's Last Theorem. It delves into the lives and contributions of mathematicians who grappled with this problem for centuries. Reading this book will provide a richer context for understanding Andrew Wiles's achievement. It is valuable as additional reading to supplement the course.

My Search for Ramanujan: How I Learned to Count

Hardcover

My Search for Ramanujan: How I Learned to Count

Kindle Edition

An Introduction to the Theory of Numbers

Save

Classic and comprehensive text on number theory. It covers a wide range of topics with rigor and depth. It useful reference tool for students seeking a more in-depth understanding of the concepts discussed in the course. This book is commonly used as a textbook at academic institutions.

An Introduction To The Theory Of Numbers

Paperback

$$$

The Theory of Numbers - Andrew Wiles

What's inside

Learning objectives

Syllabus

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Activities

Career center

Reading list

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