The Classical Moment is a reexamination of the concept of a supreme moment in the literatures of Greece, Mesopotamia, India, China, Japan, Korea, and Vietnam. Taking the case of Greece as its starting point, it examines what such 'moments' have in common, how they are created, and what effect they have on subsequent literary creation.

This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments. In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods are developed in detail and accompanied by numerous examples and exercises. Particular attention is given to powerful modern techniques such as real algebraic geometry and Hilbert space operators. A wide range of important aspects are covered, including the Nevanlinna parametrization for indeterminate moment problems, canonical and principal measures for truncated moment problems, the interplay between Positivstellensätze and moment problems on semi-algebraic sets, the fibre theorem, multidimensional determinacy theory, operator-theoretic approaches, and the existence theory and important special topics of multidimensional truncated moment problems. The Moment Problem will be particularly useful to graduate students and researchers working on moment problems, functional analysis, complex analysis, harmonic analysis, real algebraic geometry, polynomial optimization, or systems theory. With notes providing useful background information and exercises of varying difficulty illustrating the theory, this book will also serve as a reference on the subject and can be used for self-study.

"delightful, readable, and scholarly. The volume is profusely and well illustrated, each art example is clearly labelled and dated, and superb supplementary references for illustrations and supplementary suggestions for further reading are added to complete the study." Choice

This volume is available on its own or as part of the seven volume set, Greek Literature. This collection reprints in facsimile the most influential scholarship published in this field during the twentieth century. For a complete list of the volume titles in this set, see the listing for Greek Literature [ISBN 0-8153-3681-0]. A full table of contents can be obtained by email: [email protected].

A comprehensive study of the clarinet in use through the classical period, 1760 to 1830, a period of intensive musical experimentation. The book provides a detailed review and analysis of construction, design, materials, and makers of clarinets. Rice also explores how clarinet construction and performance practice developed in tandem with the musical styles of the period.

This volume is available on its own or as part of the seven volume set, Greek Literature. This collection reprints in facsimile the most influential scholarship published in this field during the twentieth century. For a complete list of the volume titles in this set, see the listing for Greek Literature [ISBN 0-8153-3681-0]. A full table of contents can be obtained by email: [email protected].

Stefan Nanz investigates the necessity for three multipole families in classical electrodynamics. He shows that by imposing symmetry and parity constraints, it is sufficient to deal with only two multipole families. This implies that the toroidal multipole moments do not represent an independent multipole family, and they only emerge in the long-wavelength limit.

This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.

First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.