"As stated in the title, this book is designed for a first course. It requires only a typical calculus sequence as a prerequisite and does not assume any familiarity with linear algebra or complex number."--BOOK JACKET.
Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadr…
Niels Lauritzen's approach to simplify the teaching of abstract algebra is based on the extensive use of examples, applications and exercises. The book contains novel applications (for example, RSA encoding) as well as a treatment of Grobner bases at an undergraduate level.
Elementary definitions; Extensions of fields; Galois theory; Applications.
"This book is concerned with the study of algebras of linear transformations acting on finite-dimensional vector spaces, which in one guise or another arise in various parts of modern mathematics. The book's aims are the following: (i) to give an exposition of the basic theory o…
Intended for a one-semester course, this superb, self-contained text acquaints students with abstract algebra and offers them computational practice with many exercises. It covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and…
