By Edward Burger
2 DVD set with 24 lectures half-hour each one for a complete of 720 minutes...Performers: Taught through: Professor Edward B. Burger, Williams College.Annotation Lectures 1-12 of 24."Course No. 1495"Lecture 1. quantity conception and mathematical examine -- lecture 2. average numbers and their personalities -- lecture three. Triangular numbers and their progressions -- lecture four. Geometric progressions, exponential development -- lecture five. Recurrence sequences -- lecture 6. The Binet formulation and towers of Hanoi -- lecture 7. The classical thought of top numbers -- lecture eight. Euler's product formulation and divisibility -- lecture nine. The major quantity theorem and Riemann -- lecture 10. department set of rules and modular mathematics -- lecture eleven. Cryptography and Fermat's little theorem -- lecture 12. The RSA encryption scheme.Summary Professor Burger starts with an outline of the high-level thoughts. subsequent, he presents a step by step rationalization of the formulation and calculations that lay on the center of every conundrum. via transparent factors, interesting anecdotes, and enlightening demonstrations, Professor Burger makes this fascinating box of research obtainable for someone who appreciates the interesting nature of numbers. -- writer.
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Additional info for An Introduction to Number Theory (Guidebook, parts 1,2)
In other words, the program should calculate f(n) for each n = 1, 2, …, N and add the results to a running sum. Then find 100 4k3 + 6k2 + 2k + 3 . Does it matter that the dummy variable is k instead of n? 2). How will you handle cn + d? Which program is faster for large values of N? 9 13 is the smallest prime such that reversing its digits yields a different prime, namely, 31. Find five more primes with this property. ∗ 10 Show that none of the first 100 triangular numbers are the sum of two consecutive squares.
An Introduction to Number Theory (Guidebook, parts 1,2) by Edward Burger