What is abstract algebra used for in real life?
Applications. Because of its generality, abstract algebra is used in many fields of mathematics and science. For instance, algebraic topology uses algebraic objects to study topologies. Algebraic number theory studies various number rings that generalize the set of integers.
Is group theory abstract algebra?
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography.
What do you think about Artin’s book abstract algebra?
Artin’s book seems to touch on many topics that a standard Abstract Algebra course may brush over. (There are entire chapters covering Group Representation Theory, the Special Unitary Group, and Quadratic Number Fields, which are just a few examples of topics that standard Algebra textbooks may not even mention).
What is Algebra 2 by Michael Artin?
Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience.
Who is Professor Artin?
Professor Artin is an algebraic geometer, concentrating on non-commutative algebra. He has received many awards throughout his distinguished career, including the Undergraduate Teaching Prize and the Educational and Graduate Advising Award. He received the Leroy P. Steele Prize for Lifetime Achievement from the AMS.
How do I get the free algebra app?
To get the free app, enter your mobile phone number. What other items do customers buy after viewing this item? Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course.