Modular Arithmetic
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A Handbook of Modular Arithmetic
"A Handbook of Modular Arithmetic" is a beginner-friendly guide that introduces readers to the fascinating realm of modular arithmetic, offering clear explanations, practical examples, and engaging exercises. Designed for those with no mathematical background, the book gently introduces the concepts of modular arithmetic, exploring its applications in computer science, cryptography, and number theory. From understanding basic concepts to unraveling the mysteries of modular arithmetic, this handbook serves as a comprehensive resource for anyone eager to delve into the world of numbers and problem-solving.
A Beginner’s Guide to Discrete Mathematics
Author: W. D. Wallis
language: en
Publisher: Springer Science & Business Media
Release Date: 2003
This introduction to discrete mathematics is aimed primarily at undergraduates in mathematics and computer science at the freshmen and sophomore levels. The text has a distinctly applied orientation and begins with a survey of number systems and elementary set theory. Included are discussions of scientific notation and the representation of numbers in computers. Lists are presented as an example of data structures. An introduction to counting includes the Binomial Theorem and mathematical induction, which serves as a starting point for a brief study of recursion. The basics of probability theory are then covered.Graph study is discussed, including Euler and Hamilton cycles and trees. This is a vehicle for some easy proofs, as well as serving as another example of a data structure. Matrices and vectors are then defined. The book concludes with an introduction to cryptography, including the RSA cryptosystem, together with the necessary elementary number theory, e.g., Euclidean algorithm, Fermat's Little Theorem.Good examples occur throughout. At the end of every section there are two problem sets of equal difficulty. However, solutions are only given to the first set. References and index conclude the work.A math course at the college level is required to handle this text. College algebra would be the most helpful.
Modular Arithmetic
"Modular Arithmetic" is a concise and accessible guide that demystifies the fundamental concepts of modular arithmetic, a mathematical framework essential for various applications. Tailored for students and enthusiasts of mathematics, the book explores the properties and operations within modular systems, shedding light on topics such as modular addition, subtraction, multiplication, and exponentiation. With clear explanations and illustrative examples, it equips readers with the foundational knowledge to solve problems in cryptography, computer science, and other mathematical disciplines. This handbook serves as an indispensable resource for understanding and applying modular arithmetic, making it an ideal companion for those looking to navigate this important mathematical concept.