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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.

H.S.M. Coxeter is one of the world's best-known mathematicians who wrote several papers and books on geometry, algebra and topology, and finite mathematics. This book is being published in conjunction with the 50th anniversary of the Canadian Mathematical Society and it is a collection of 26 papers written by Dr. Coxeter.

This books addresses Fermat's theorem and its proof, which was discovered by Andrew Wiles, and discusses the implications of Wiles' proof. Each chapter explains a separate area of number theory as it pertains to Fermat's last theorem and assumes little background in mathematics.

Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories.

Describes the development and extension of fundamental idea of Edouard Lucas, a French mathematician and mathematical recreationist, that is still used today in the verification of the largest primes.

This book examines abstract convex analysis and presents the results of recent research, specifically on parametrizations of Minkowski type dualities and of conjugations of type Lau. It explains the main concepts through cases and detailed proofs.

This volume puts together results touching weak Asplund spaces which are currently spread throughout the literature. All subclasses are discussed, including interferences and counterexamples, with a special emphasis on topological implications.

This text provides a systematic treatment of completely regular semigroups, from beginner to research level, comprising: preliminaries on lattices, semigroups, varieties and complete regularity; congruences and relations on the congruence lattice; and completely regular semigroups.

This text presents the theory of differentiation in a unified form. Several problems of differentiation theory are resolved, new ones presented, and past and present developments in the field covered. It includes all aspects of various kinds of derivates and derivatives.

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-theory, knot theory, ergodic theory, and mathematical physics.

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac--Moody theory not specific to the affine case.

This book describes integration and measure theory for readers interested in analysis, engineering, and economics.