Onc service malhemalics has rendered Ihe "Et moil ... si ravait au oomment en revcnir. je n'y serais point aU':' human race. It has put common sense back whcre it belongs, on the topmost shelf next Iules Verne to the dUlty canister IabeUed 'discarded n- sense'. The series is divergent; therefore we may be Eric T. BeU able to do something with it. O. H eaviside Mathematics is a tool for thought, A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other pans and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'are of this series.

Inhalt
14: Quantum Groups, q-Orthogonal Polynomials and Basic Hypergeometric Functions.- 15: Semisimple Lie Groups and Related Homogeneous Spaces.- 16: Representations of Semisimple Lie Groups and Their Matrix Elements.- 17: Group Representations and Special Functions of a Matrix Argument.- 18: Representations in the Gel'fand-Tsetlin Basis and Special Functions.- 19: Modular Forms, Theta Functions and Representations of Affine Lie Algebras.- Bibliography Notes.