Abstract Algebra with Applications

· Cambridge University Press
Ebook
332
Pages

About this ebook

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.

About the author

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.

Rate this ebook

Tell us what you think.

Reading information

Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.