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Elements of number theory -- Elements of group theory -- Examples of groups -- Elements of ring theory -- Polynomial rings in one variable -- Elements of field theory -- Examples of applications -- Polynomials in several variables -- Finite fields and their applications -- Finit…
Ivo Rosenberg determined all finite, finitary, functionally precomplete algebras; he split them up naturally into six classes according to the kind of relation which is preserved by the polynomials of each such algebra. The purpose of this memoir is to locate these algebras in t…
A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology. It provides a well written …
This book provides the first general and systematic introduction to the semantics of concurrent systems, a relatively new research area in computer science. It develops the mathematical foundations of the algebraic approach to the formal semantics of languages and applies these …
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.
