'All through both volumes ["Functions & Graphs" and "The Methods of Coordinates"], one finds a careful description of the step-by-step thinking process that leads up to the correct definition of a concept or to an argument that clinches in the proof of a theorem. We are ...very fortunate that an account of this caliber has finally made it to ...
'All through both volumes ["Functions & Graphs and The Methods of Coordinates"] , one finds a careful description of the step-by-step thinking process that leads up to the correct definition of a concept or to an argument that clinches in the proof of a theorem. We are ...very fortunate that an account of this caliber has finally made it to ...
Focusing on theory more than computations, this 3-part text covers sequences, definitions, and methods of induction; combinations; and limits, with introductory problems, definition-related problems, and problems related to computation limits. Answers and hints to the test problems are provided; "road signs" mark passages requiring particular ...
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The ...
Isaac Newton encrypted his discoveries in analysis in the form of an anagram that deciphers to the sentence, 'It is worthwhile to solve differential equations'. Accordingly, one can express the main idea behind the orbit method by saying 'It is worthwhile to study coadjoint orbits'. The orbit method was introduced by the author, A. A. Kirillov, in ...
Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - ...
Almost every major mathematical theory, from 19th century classical analysis and geometry to the newest abstract constructions of category theory, have recently acquired a "physical flavour". In the case of representation theory, two new areas of mathematical physics - the theory of completely integrable systems and string theory - have had a ...
This book is a collection of selected papers written by students and active participants of the A. A. Kirillov seminar on representation theory held at Moscow University. The papers deal with various aspects of representation theory for Lie algebras and Lie groups, and its relationship to algebraic combinatorics, the theory of quantum groups and ...
The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in these fields and to discuss existing and possible interactions between the mentioned subjects. ...
This volume of the Encyclopaedia contains two contributions: the first one, "Harmonic Analysis on Homogeneous Spaces", is written by V.F.Molchanov, the second one, "Representations of Lie Groups and Special Functions", by N.Ya. Vilenkin and A.U. Klimyk. Molchanov focuses on harmonic analysis on semi-simple spaces, whereas Vilenkin and Klimyk treat ...
Cities tend to become more crowded, the high rise buildings taller, the traffic nodes more complex. The volume of hazardous cargo passing increases with the growth of economy and the expansion of technology. As we have seen in the recent past, cities can become too easily a focus of terror. To counter these trends measures have to be taken. This ...
Cities tend to become more crowded, the high rise buildings taller, the traffic nodes more complex. The volume of hazardous cargo passing increases with the growth of economy and the expansion of technology. As we have seen in the recent past, cities can become too easily a focus of terror. To counter these trends measures have to be taken. This ...
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