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Abstract Algebra with Applications
Abstract Algebra with Applications
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Abstract Algebra with Applications is a concise introduction to algebra, focusing on its applications in the modern world. It covers groups, rings, and fields, with real-world examples and exercises. The book is intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors.
Format: Hardback
Length: 328 pages
Publication date: 20 December 2018
Publisher: Cambridge University Press
Abstract Algebra with Applications is a comprehensive and accessible guide to algebra, focusing on its practical applications in the modern world. The book begins by introducing groups, covering topics such as sets, functions, relations, and induction, with applications in areas such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of the book delves into rings and fields, exploring applications in random number generators, error-correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. Throughout the text, vibrant figures and images aid in illustrating the concepts and applications, while real-world examples and exercises help contextualize the information. Designed for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a willingness to tackle short proofs. This book is an invaluable resource for students seeking to deepen their understanding of algebra and its applications in various fields.
Weight: 866g
Dimension: 253 x 180 x 20 (mm)
ISBN-13: 9781107164079
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