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Abstract Algebra with Applications
Contributor(s): Terras, Audrey (Author)
ISBN: 1107164079     ISBN-13: 9781107164079
Publisher: Cambridge University Press
OUR PRICE:   $66.49  
Product Type: Hardcover - Other Formats
Published: February 2019
Qty:
Additional Information
BISAC Categories:
- Mathematics | Algebra - General
Series: Cambridge Mathematical Textbooks
Physical Information: 0.8" H x 7.6" W x 10.1" (1.90 lbs) 328 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

Contributor Bio(s): Terras, Audrey: - Audrey Terras is a Professor Emeritus of Mathematics at the University of California San Diego. Awards include American Mathematical Society (AMS) Fellow, American Association for the Advancement of Science (AAAS) Fellow, and 2008 Noether lecturer of Association for Women in Mathematics (AWM). She has published four books and many research papers. Research interests include number theory, harmonic analysis on symmetric spaces and finite groups, algebraic graph theory, zeta functions of graphs, and Selberg's trace formula. When lecturing, she believes in giving examples, applications, and colorful pictures.