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Discrete Mathematics #05 Elementary Number Theory

Toon meer Toon minder. Recensie s It consists of nine chapters, all including the corresponding programs along with their mathematical content.

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The mathematical structure is also interesting and well-formed starting from special numbers, primes and Pell equation, to Pascal's triangle, prime decomposition and modular arithmetic and finishing with number-theoretic functions, the Euler Phi-function, sums and partitions and the classical application to cryptography. It is also remarkable that the main scope of the programs is defined before their use from the reader, providing him the best orientation for his study.

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GitHub - NanXiao/elementary-number-theory-with-programming-in-haskell

Evaluation Copy Request an Evaluation Copy. This is a dummy description. A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming.

Instructor View Instructor Companion Site. At the same time, he also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes.

Elementary Number Theory with Programming

Over years later around A. Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another years later in , Diffie and Hellman introduced the first ever public-key cryptosystem, which enabled two people to communicate secretly over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication.

In the s and s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, public-key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles' resolution of Fermat's Last Theorem.

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Book Site. To track Flights around a particular Airport? Click here to find more info. Book Description This book is an introduction to elementary number theory with a computational flavor. All Categories.