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This second edition has expanded discussions on many topics and a lot more details on the derivation of various equations, particularly in the second half of the book which deals with more advanced topics.

Contributed articles presented at the Conference, sponsored by National Science Foundation, USA ... [et al.].

These notes are a record of a one semester course on Functional Analysis given by the author to second year Master of Statistics students at the Indian Statistical Institute, New Delhi.

This book on integration theory is based on the lecture notes for courses that the author gave at the Tata Institute of Fundamental Research, Mumbai, and at ETH, Zurich. The subject matter is classical. The goal of the notes is to provide a concise, clear, and accurate treatment of the basic ideas of the subject.

Provides an elementary introduction to the basic concepts of the theory of ordinary representations to finite groups with a minimum of prerequisites; explores the for the important special case of the symmetric groups $S_n$ of permutations on $n$ letters; and uses the preparatory material of the first two parts, coupled with the $S_n$ theory, to do the same for some other important special groups.

This volume contains the proceedings of the International Colloquium on Representations and L-functions organized by the Tata Institute of Fundamental Research in January 2012, one of a series of colloquia that began in 1956.

The newly developed field of Seiberg-Witten gauge theory has become a well-established part of the differential topology of four-manifolds and three-manifolds. This book offers an introduction and an up-to-date review of the state of current research.

Contains the author's notes for a course that he taught at ETH, Zurich. The aim is to lead the reader to a proof of the Peter-Weyl theorem, the basic theorem in the representation theory of compact topological groups. The topological, analytical, and algebraic groundwork needed for the proof is provided as part of the course.

This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups.

Topics that have continued from the first edition include Minkowski's theorem, measures with bounded powers, idempotent measures, spectral sets of bounded functions and a theorem of Szego, and the Wiener Tauberian theorem.

A collection of problems from a competition for college students organised by the Iranian Mathematical Society. It compiles problems from these competitions between 1973 and 2007 and provides solutions to most of them. It is suitable for students of mathematics preparing for competitions and for advanced studies.

The mathematical basis of insurance modeling is best expressed in terms of continuous time stochastic processes. This introductory text on actuarial risk theory deals with the Cramer-Lundberg model and the renewal risk model. The Lundberg risk process with investment in risky asset is also considered.

This book presents Advanced Calculus from a geometric point of view: instead of dealing with partial derivatives of functions of several variables, the derivative of the function is treated as a linear transformation between normed linear spaces.

According to a remark attributed to Mark Kac 'Probability Theory is a measure theory with a soul'. This book with its choice of proofs, remarks, examples and exercises has been prepared taking both these aesthetic and practical aspects into account.

Fragility is a key property of liquids - in particular glass-forming liquids - characterizing the rapidity of change of their dynamical properties when cooled near the glass transition.