An Introduction to Number Theory With Edward B. Burger

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An Introduction to Number Theory With Edward B. Burger

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 dis[beeep]line 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

 

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Ukryta Zawartość

Treść widoczna tylko dla użytkowników forum DarkSiders. Zaloguj się lub załóż darmowe konto na forum aby uzyskać dostęp bez limitów.