Abstract Algebra with Applications by Audrey Terras

Abstract Algebra with Applications by Audrey Terras

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.

'Perhaps no other subject of undergraduate mathematics is as challenging to learn (and to teach) as abstract algebraThe high level of abstraction, the sophistication of the logic and the vocabulary, and the deep understanding of mathematical structures required all pose difficulties for the student. Professor Terras has addressed these issues by writing a textbook which, while uncompromising in its rigor and breadth, is also entertaining and full of insights, useful visualizations and historical asides. Many of the applications of modern algebra are explained in a thoughtful way that will help motivate students to study abstract concepts. Recommended as a textbook for the first semester of abstract algebra.' Jenia Tevelev, University of Massachusetts, Amherst

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.

SKU	Nicht verfügbar
ISBN 13	9781107164079
ISBN 10	1107164079
Titel	Abstract Algebra with Applications
Autor	Audrey Terras
Serie	Cambridge Mathematical Textbooks
Buchzustand	Nicht verfügbar
Verlag	Cambridge University Press
Erscheinungsjahr	2018-12-20
Seitenanzahl	328
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar