Offers a treatment of completely regular semigroups. Text is written in the manner of complete proofs, except when the relevant statements belong to other branches of algebra. Coverage includes completely simple semigroups, normal cryptogroups, congr...Daugiau...
Presents a unified theory of unilateral derivates in terms of which every continuous function is derivable at a set of points which has cardinality c in every interval. Some of the new derivatives are also defined for real-valued functions on normed...Daugiau...
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of todays sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though...Daugiau...
Addresses methods for determining whether or not a number is prime, by tracing the evolution of methods since the work of Lucas (1842-91), who first demonstrated that it could be done without the laborious task of trial division. Finds that, as in bi...Daugiau...
Presents a recent theory of abstract convex analysis that extends the concepts and results of conventional convex analysis to arbitrary sets and functions; provides many examples of applications of the general theory to sets, functions, conjugations,...Daugiau...
This text puts together folklore results touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, inclu...Daugiau...
A textbook for a 36-lecture senior or beginning graduate course for students of mathematics, economics, or engineering. Totally different from the two courses Nielson took as a student, which turned him off to the subject for 25 years. Begins with in...Daugiau...
Transform theory and methods are useful to many professionals from various mathematical backgrounds. This introduction to the theory and practice of continuous and discrete transforms integrates knowledge from many branches of mathematics. It combine...Daugiau...
The subject of operator algebras has experienced tremendous growth in recent years with significant applications to areas within algebraic mathematics as well as allied areas such as single operator theory, non-self-adjoint operator algegras, K-theor...Daugiau...
Developed from notes for an undergraduate lecture course on the 17th-century French mathematicians margin note that baffled mathematicians for three and half centuries until Andrew Wiles found a proof recently. Traces the various methods and argumen...Daugiau...
A biographical sketch, a primary bibliography, and 26 papers by the English-born mathematician Coxeter, a fixture at the University of Toronto since the 1930s and a major figure in 20th-century geometry. The original paper and facsimiles of the journ...Daugiau...
A text that presents a self-contained development of the algebraic theory of the Kac-Moody algebras, their representations, and their close relatives, the Virasoro and Heisenberg algebras. It concentrates on developing the theory of triangular decomp...Daugiau...
