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22-03-2015, 17:41

TTC Video - An Introduction to Number Theory

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TTC Video - An Introduction to Number Theory
TTC Video - An Introduction to Number Theory
Course No. 1495 | .AVI, XviD, 1206 kbps, 624x480 | English, MP3, 128 kbps, 2 Ch | 24x30 mins | 6.63 GB
Lecturer: Professor Edward B. Burger Ph.D.

How could an ancient king be tricked into giving his servant more than 671 billion tons of rice? It's all due to a simple but powerful calculation involving the sum of geometric progression -- an important concept in number theory and 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


Course Lecture Titles:
01. Number Theory and Mathematical Research
02. Natural Numbers and Their Personalities
03. Triangular Numbers and Their Progressions
04. Geometric Progressions, Exponential Growth
05. Recurrence Sequences
06. The Binet Formula and the Towers of Hanoi
07. The Classical Theory of Prime Numbers
08. Euler's Product Formula and Divisibility
09. The Prime Number Theorem and Riemann
10. Division Algorithm and Modular Arithmetic
11. Cryptography and Fermat's Little Theorem
12. The RSA Encryption Scheme
13. Fermat's Method of Ascent
14. Fermat's Last Theorem
15. Factorization and Algebraic Number Theory
16. Pythagorean Triples
17. An Introduction to Algebraic Geometry
18. The Complex Structure of Elliptic Curves
19. The Abundance of Irrational Numbers
20. Transcending the Algebraic Numbers
21. Diophantine Approximation
22. Writing Real Numbers as Continued Fractions
23. Applications Involving Continued Fractions
24. A Journey's End and the Journey Ahead


http://www.thegreatcourses.com/courses/introduction-to-number-theory.html


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