Classical and Quantum Orthogonal Polynomials in One Variable

This is first modern treatment of orthogonal polynomials from the viewpoint of special functions. The coverage is encyclopaedic, including classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those (e.g. As...

 Foundations of classical electrodynamics Charge, flux, and metric

This book presents the foundations of classical electrodynamics with particular attention to mathematical axioms based on physical concepts. The text is divided into 4 parts and unfolds systematically at a level suitable for advanced undergraduates and gr...

 An Ontological and Epistemological Perspective of Fuzzy Set Theory

Fuzzy set and logic theory suggest that all natural language linguistic expressions are imprecise and must be assessed as a matter of degree. But in general membership degree is an imprecise notion which requires that Type 2 membership degrees be consider...

 Arbitrage Theory in Continuous Time

The second edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitra...

 Classical Mathematical Logic The Semantic Foundations of Logic

In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of ma...

 Universal Logic

Throughout the twentieth century, the classical logic of Frege and Russell dominated the field of formal logic. But, as Ross Brady argues here, persistent logical paradoxes may be better solved by a new type of weak relevant logic. Brady's universal logic...

 Variational Methods in Shape Optimization Problems

The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of ...

 Classical and Non-Classical Logics An Introduction to the Mathematics of Propositions

So-called classical logic--the logic developed in the early twentieth century by Gottlob Frege, Bertrand Russell, and others--is computationally the simplest of the major logics, and it is adequate for the needs of most mathematicians. But it is just one ...

 A Classical Introduction to Cryptography Applications for Communications Security

A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. ...