Browsing by Main Subject "Mathematics"

Browsing by Main Subject "Mathematics"

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  • Swaminathan, S.; Venkataraman, R. (2009-12-23)
    Part I: The Theory of representations of finite groups/ S. Swaminathan; Part II : Elements of Lie groups and Lie algebras/ R.Venkataraman. The scope of these lectures is to develop the theory of representations of finite ...
  • O'Raifeartaigh, Lochlainn (2010-05-25)
    A series of 24 lectures delivered at the Institute on this topic, was aimed to provide a fairly extensive working knowledge of the 'local Lie groups and their representations' for the audience group of physicists - in ...
  • Riahi, F. (2010-09-16)
    These notes are an extended proofless version of lectures given at Matscience in February 1969. This report consists of 4 parts. Preliminaries and the Two-Body problem are discussed in the first section; The preliminary ...
  • Sudarshan, E.C.G. (2010-06-21)
    These lectures were given by the author, visiting from University of Rochester, U.S.A., notes prepared by T.S. Santhanam. This Report spans with 8 lectures, Starting with an introductory Lecture, discusses mainly of 'Charge ...
  • Kamefuchi, S. (2010-05-25)
    Parastatistics in Field Theory has got two distinguished classifications, viz., Para-Fermi Statistics, and Para-Bose Statistics. These series of lectures intends to develop a general formalism for parastatistics. The ...
  • Hagedorn, R. (2010-05-24)
    This report is based on the Lectures of Hagedorn, the visiting Professor at IMSc., during Nov.1963 - Jan. 1964). Notes prepared by T. S. Santhanam and K. Ananthanarayanan. In turn these lectures are based on the contents ...
  • Williamson, J.H. (2010-08-18)
    The aim of these lectures is to provide an introduction to some of the basic theorems of Representation theory. They are purely expository, there is little or nothing that cannot be found in standard treatises such as ...
  • Bharucha-Reid, A.T. (2010-06-10)
    These lectures on 'Semigroups of Operators' are based on the lectures given by the Visiting Professor, A. T. Bharucha-Reid, with particular reference to applications in Mathematical Physics. The three operators - semigroup ...
  • Kamefuchi, S. (2010-02-23)
    This series of lectures discuss a detailed account of the formalism, and thereby the equivalence between this formalism and the ordinary one are planned. Some applications to the problems of Gauge transformations and of ...
  • Bharucha-Reid, A.T. (2010-06-15)
    The purpose of this report is to present a survey of the theory of Random Equations. It is somewhat a revised version of the paper entitled "On the theory of Random equations" by the author, in the American Mathematical ...
  • Hayman, W. K. (2010-07-26)
    These lectures were delivered by the author, W.K. Hayman, F.R.S., Professor of Mathematics from Imperial College of Science and Technology, London, and Notes by Dr. K.R. Unni. These lectures deal with about fourteen ...
  • Krishnaswami Alladi (2012-06-28)
    The purpose of this report is to present some of the most recent developments in the Theory of Irrationality together with many of the classical results in the subject.
  • Waldschmidt, Michel (2012-07-06)
    The aim of the first part of these lectures (Chapters 2 to 6) is to give a complete proof of Baker's Theorem. In the second part of these lectures, which starts with the seventh Chapter, produces explicit measures of ...
  • Gourdin, M. (2010-06-28)
    These lectures were given the CSIR Visitor, Professor M. Gourdin, Universite De Paris, France. It is consisting of 6 chapters discussing about 'Lie groups and Lie Algebras', 'Lie Groups of Transformations', 'Topological ...
  • Tekumalla, Achyuta Rau (, 2009-08-05)
    The generalisations of Dirac Matrices and Clifford Algebra and their various mathematical features and physical applications have been systematically studied by many researchers. This study views the generalisations with ...
  • Padma, R. (, 2009-08-12)
    In this thesis the researcher has proved the 'Mean Value theorems for a class of Dirichlet series' following Ramachandra's method. This method gives simple proof of known results, and infact gives an improvement of Good's ...
  • Kamalakshya Mahatab (The Institute of Mathematical Sciences, 2016)
  • Fuchs, W.H.J. (2010-09-13)
    The two properties of the polynomials, viz., 1) A polynomial takes on every complex value the same number of times; 2) On large circles |z| = r, the absolute value of a polynomial p(z) is large and "Limit r tends to ...
  • Kasturi Nagarajan (2009-08-05)
    This thesis studies multipliers on some of the Segal Algebras, and characterises various spaces of multipliers. Analogous results are obtained. The thesis yields characterisation of the multiplier spaces on the Segal ...
  • Digjoy Paul (The Institute of Mathematical Sciences, 2020)