The Theory of Numbers - Andrew Wiles

Name: The Theory of Numbers - Andrew Wiles
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The evolution of mathematics from antiquity to the present day

Created byEDOOTV - The knowledge dispenser

Last updated 5/2015

English

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What you'll learn

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

Course content

4 sections • 16 lectures • 1h 4m total length

Introduction0:37
The origins4:42
Trace the origins of number theory from babylonian and greek problems to diophantus and Pierre for Amar, exploring solving equations in integers and generating or ruling out solutions.
Pierre de Fermat2:44
Pierre de Fermat, a key figure in the theory of numbers, left margin notes claiming a marvelous proof of a simple yet unsolved equation, later becoming Fermat's Last Theorem.
Problems and solutions7:07
Explore Fermat's pivotal role in modern number theory, from Diophantus problems and infinite descent to Fermat primes and amicable numbers, culminating in Fermat's Last Theorem.

A problem worthy of fame2:27
Explore Fermat's last theorem, stating no solutions to x^n + y^n = z^n for n > 2, and its centuries-long link to elliptic curves culminating in Wiles's 1995 proof.
A series of solutions5:56
Fermat's last theorem spurred algebraic theory, as scholars tested new number systems, showed unique factorization fails, and advanced prime cases, setting the stage for future breakthroughs.
Mathematical duels7:34
Trace the history of solving equations in integers from the Renaissance duels to the 19th century, showing how algebraic methods advanced number theory and influenced Fermat's Last Theorem.
The resolution of the theorem7:50
Explore how Fermat's last theorem, once thought unsolved, gained new life through a link to a conjecture bridging calculus and number theory, culminating in a breakthrough and final proof.

Halfway Through0:32
Awards of mathematics2:04
Explore mathematics awards: Fields Medal for under-40 mathematicians, absence of mathematics in the Nobel Prize, Wiles’ 42-year age, and prizes by the Royal Swedish Academy and Gauss.
Birth of modern mathematics4:14
Gauss's early work laid the foundations of number theory through modular arithmetic and studying equations modulo primes, revealing calculus's role in arithmetic and algebraic directions.
The charm of the unsolved problems4:57
this lecture explores numbers as the difference between a cube and a square, including Fermat's last theorem context and the unsolved nature, and the search for a unifying calculus tool.
The grand problems of mathematics2:39
Explore the grand problems of mathematics, from perfect numbers and infinity of primes to Goldbach, twin primes, and Riemann hypothesis, and learn how the Riemann zeta function guides number theory.
The evolution of the theory of numbers8:05
Explore how geometry shaped early arithmetic, how algebra freed geometry to solve equations, and how geometric methods illuminate rational solutions in the theory of numbers.

Requirements

Interest in science
Attending the course does not need any scientific skill since it is presented in a clear and simple manner

Description

'Recognized as a top instructor by Udemy for high quality academic courses'

'First time on Udemy, courses delivered by Nobel Prize laureates and international academic authorities'

If you are as crazy and passionate about true knowledge as our community and believe that true knowledge is true wealth, then our courses are for you.

In this masterclass Andrew Wiles, one of the great mathematicians of our time, guides us into the fascinating world of numbers.

The principles and developments of the theory of numbers, the discipline that the famous scientist Gauss called “the queen of mathematics"; a journey among its leading figures, an inheritance of theories and puzzles handed down to us, the progress of a subject matter that is constantly evolving.

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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Don't wait, be a part of this amazing community now. Knowledge and ability to think with open mind is the best gift you can give to yourself and your loved ones.

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Who this course is for:

Everyone interested in science and who would like to learn more about theory of numbers and its developments

The Theory of Numbers - Andrew Wiles

What you'll learn

Explore related topics

Course content

The theory of numbers4 lectures • 15min

Last theorem of Fermat4 lectures • 24min

A pure science6 lectures • 23min

Supplement2 lectures • 3min

Requirements

Description

Who this course is for: