Categories
Technical
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
Study
Novel
Nonfiction
Health
Tutorial
Entertainment
Business
Magazine
Arts & Design
Audiobooks & Video Training
Cultures & Languages
Family & Home
Law & Politics
Lyrics & Music
Software Related
eBook Torrents
Uncategorized
Share With Friends
Archive by Date
2012-08-06
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
2012-08-05
2012-08-04
2012-08-03
2012-08-02
2012-08-01
2012-07-31
2012-07-30
2012-07-29
2012-07-28
Search Tag
Eliasson
bullet
Speed
Stratified
Transgenesis
Venture
WordPress
Ecorchees
Bulid1077
Managemen
Shona
Installing
Bovard
administrieren
Adagios
Xenogenesis
Obligatory
Linoleic
Glow
Guthrie
Gambier
guerre
BRIGITTE
Hightower
Rohstoffe
Fahlander
curve
Cleavenger
Stryges
Representations
tyranii
Marrie
Kukita
bankers
Garet
Workers
Lucio
Waldeigentum
Nombres
Approximation
神功
Bankdaten
Undirected
Esoterism
Superstate
Bornstein
要点
Buffaloes
eXceSs
lisis
Newest
Lectures on Numerical Methods in Bifurcation Problems
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Methods for Finding Zeros in Polynomials
Lectures on Stochastic Flows and Applications
Educational Psychology by Edward L. Thorndike
The Last Days of Tolstoy by V. G. Chertkov
Globalization and Responsibility
Lectures on Siegel Modular Forms and Representation by Quadratic Forms
Lectures on Topics In One-Parameter Bifurcation Problems
History of the Incas by Pedro Sarmiento de Gamboa
Linear Algebra: Theorems and Applications
Lectures on Stochastic Differential Equations and Malliavin Calculus
A Short Biographical Dictionary of English Literature
Lectures on Sieve Methods and Prime Number Theory
Dollars and Sense by William Crosbie Hunter
The Theory of the Theatre by Clayton Hamilton
The Mathematics of Investment
Occupiers of Wall Street: Losers or Game Changers
The Solution of the Pyramid Problem
Lectures on Moduli of Curves
Walden by Henry David Thoreau
Useful Links
Number Theory : Full Video course
Posted on 2010-04-15
|
In an ancient kingdom, a king asked his servant what he most desired.
"Sire," said the mathematician, "Just place one grain of rice on a single square of a chessboard. Then fill each square by doubling the number of grains of rice for every other square. I would be content with the total sum of rice." Little did the king know, he now owed his mathematician a grand total of 18,446,744,073,709,551,615 grains of rice—or more than 671 billion tons! How is this possible? It's all due to a simple but powerful calculation, the sum of geometric progression—just one of the fascinating concepts you'll encounter in An Introduction to Number Theory. Taught by veteran Teaching Company instructor Edward B. Burger, this 24-lecture course offers an exciting adventure into the world of numbers. An Introduction to Number Theory is a great introduction to the field for anyone who loves numbers, is fascinated by math, and wants to go further into the relationships among these mysterious objects. What Is Number Theory? Called "the queen of mathematics" by the legendary mathematician Carl Friedrich Gauss, number theory is one of the oldest and largest branches of pure mathematics. Practitioners of number theory delve deep into the structure and nature of numbers, and explore the remarkable, often beautiful relationships among them. In this course, you'll cover all the fundamentals of this exciting discipline and explore the many different types of numbers: * Natural numbers * Prime numbers * Integers * Negative and irrational numbers * Algebraic numbers * Imaginary numbers * Transcendental numbers But in An Introduction to Number Theory, you'll also develop a deeper understanding of their nature and the relationships among them, and gain insights into the many branches of number theory, including: * Elementary number theory, an exploration of the fundamental patterns involving the natural numbers * Analytic number theory, which uses the techniques of calculus to establish its results, and focuses on the prime numbers and their patterns * Algebraic number theory, which relies on arithmetic—the operations of addition, subtraction, multiplication, division—to find solutions to equations * Algebraic geometry, a combination of algebra and geometry which reveals the important connection between solutions to certain equations and points on certain curves. An Intriguing Landscape of Calculation Using brain-teasing problems and fascinating anecdotes, Professor Burger offers deep insights into the complex and beautiful patterns that structure the world of numbers. For example, you'll encounter: * The sieve of Eratosthenes: A simple but brilliant method for "sifting out" all the prime numbers within any sequence of natural numbers * The golden ratio: A mysterious and powerful number that recurs throughout the natural and scientific worlds, and is believed by some to hold the key to aesthetic beauty * The method of modular arithmetic: An alternative way of counting that focuses on remainders rather than quotients to open up new possibilities for the manipulation of numbers * The relationship between algebra and geometry: Exactly how does an algebraic formula correspond to a line or curve? What can we understand about these two mathematical entities? Number Theory in Everyday Life You'll quickly see that number theory—though complex and intellectually challenging—is no "ivory tower" endeavor. Throughout the course, Professor Burger answers intriguing questions about how the work of number theorists touches our daily lives: * How do modern computers "talk" to each other through vast remote networks? * What technologies lay behind crucial security procedures, such as the encryption used when you pay with a credit card on an e-commerce website? * How do the puzzling numbers found on everyday consumer products—the UPC labels, or bar codes—allow you to move quickly and easily through the check-out stand at the local market? * Why does the chromatic musical scale include 12 notes? * What is the meaning of the mysterious bank routing numbers on checks? How do they provide a way to identify specific bank accounts? Mathematical Proofs: The Agony and the Ecstasy You'll also experience the exhilarating but often heartbreaking process of mathematical proof. In creating a proof, a mathematician is at once akin to the lawyer and the artist, constructing logical structures that deduce newly discovered truths from previously accepted premises. While some mathematical problems readily yield proofs, others prove to be more intractable. In this course, you'll hear about the trials, tribulations, and triumphs of great minds as they attempted to solve some of the most vexing "open questions" that have tickled the curiosity of mathematicians for centuries. Consider, for example, the quest of Andrew Wiles. Since childhood, he dedicated himself to finding a proof to one of the most notorious open questions in mathematics, Fermat's last theorem. Professor Burger follows Wiles's frustrating disappointments and miraculous breakthrough in proving this elusive theorem. It's a story that demonstrates the discipline, mental acuity, and remarkable creativity required to establish new areas of knowledge. And you'll learn about some of the open questions that remain, including the Collatz conjecture, a tricky puzzle for which the great 20th-century Hungarian mathematician Paul Erdös offered to pay $500 to anyone who could provide a solution. Are You Ready for a Challenge? These are the kinds of mathematical puzzles that make An Introduction to Number Theory a treat for anyone who loves numbers. While the course requires confidence with basic math concepts, Professor Burger provides clear and effective guidance for students at all levels. With each tantalizing problem, Professor Burger begins with an overview of the high-level concepts. Next, he provides a step-by-step explanation of the formulas and calculations that lay at the heart of each conundrum. Through clear explanations, entertaining anecdotes, and enlightening demonstrations, Professor Burger makes this intriguing field of study accessible for anyone who appreciates the fascinating nature of numbers. And while the course is demanding, you'll soon find that An Introduction to Number Theory offers rewards that are equal to its tests. Through the study of number theory, you'll experience an enlightened perspective on the world around us. As Professor Burger says of number theory: "Great secrets and structures lie close by, to be uncovered only if we open our imagination to all possibilities." This is a FULL video course, 6.44 GB. Please download it as fast as you can because links get removed very quick
Rating:
2.5 out of 5 by Book123 |
Like this article?! Give us +1: