Algebra For Applications
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Algebra for Applications
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.
Abstract Algebra with Applications
Author: Audrey Terras
language: en
Publisher: Cambridge University Press
Release Date: 2019
This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.
Boolean Algebra and Its Applications
Author: J. Eldon Whitesitt
language: en
Publisher: Courier Corporation
Release Date: 2012-05-24
Introductory treatment begins with set theory and fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. 1961 edition.