The authors illustrate, in a profusion of ways, that games lie very close to some of the most general and fundamental notions of model theory such as axiomatisability, step-by-step construction and even the satisfaction of formulae.
The Algebraic Structure of Crossed Products (North-Holland Mathematics Studies)
In the past 15 years, the theory of crossed products has enjoyed a period of vigorous development. The foundations have been strengthened and reorganized from new points of view, especially from the viewpoint of graded rings. The purpose
Handbook of Boolean Algebras : Volume 1
Volumes 2 and 3 treat a broad range of topics of current research interest including connections with set theory, topology, measure theory, and logic. The Handbook is packed with an enormous number of beautiful ideas, techniques, and resu
Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics
(in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A.
Reviewed by Pedro Lauridsen Ribeiro, (Cotia, SP Brazil)
sic functional analysis (Banach and Hilbert spaces, measure theory), Lie group theory, and the notion of a C*-algebra, besides a good course in Quantum Mechanics.The only problem here is this great book being out-of-print...
Reviewed by Ramez Elgammal, (Pa
This book is an excellent introduction to representation theory in quantum mechanics and outlines abstract topics in a pedagogically sound manner. I would recommend this book for beginning graduate students in physics or for anyone intere
Handbook of Algebra : Volume 1
The first volume of a multi-volume handbook intended to provide professional mathematicians with information on topics outside their own areas. The level is graduate and up; treatment of topics is too dense for use as a textbook. Articles
Handbook of Process Algebra
This handbook documents process algebra (a formal description technique for complex computer systems) from its modern inception in the late 1970s to the present. Bergstra and A. Ponse (both of the U. of Amsterdam programming research gro
Linear Algebra, Rational Approximation and Orthogonal Polynomials
Provides a unifying approach to linear algebra, rational approximation and orthogonal polynomials. Guides the reader from the simplest formulation of the Euclidean algorithm to its function as a very powerful tool to deal with general con
Topoi, the Categorial Analysis of Logic (Studies in Logic and the Foundations of Mathematics)
Reviewed by Paul Corazza, (Boise, ID USA)
When Goldblatt's book first hit the stands, it was blasted by reviewers who had a geometric predilection. They claimed that Goldblatt had trivialized this essentially rich geometric subject by giving a set-theoretic treatment.I became fas
Cylindric Algebras (Studies in Logic and the Foundations of Mathematics)
Hardbound. Volume I provides a detailed analysis of cylindric algebras, starting with a formulation of their axioms and a development of their elementary properties, and proceeding to a deeper study of their interrelationships by means of
Computational Methods in the Mechanics of Fracture (Mechanics & Math Methods Series of Hdbks, Series a : Com
This volume not only covers the fundamental concepts of fracture mechanics, but also the computational methodologies necessary for practical engineering designs aimed at fracture control. It gives a concise summary of various fracture the
"I ordered the Algebra Buster late one night when my daughter was having problems in her honors algebra class. After we ordered your software
she was able to see step by step how to solve the problems. Algebra Buster definitely saved the day."