Bøger udgivet af Jainendra K Jain

Presents material suitable for a two semester graduate course in analysis. Based on courses given by the author since 2007, it is targeted towards graduate students preparing for a research career in mathematics.

Provides an understanding of the various aspects of dynamical systems. Each chapter of the book specializes in one aspect of dynamical systems, and, thus, begins at an elementary level and goes on to cover advanced material.

This set of lecture notes is based on a series of ten lectures given by Professor T. Parthasarathy at Chennai Mathematical Institute. Topics in matrix and bimatrix games, stochastic games (finite, infinite, and undiscounted stochastic games) and cooperative games are covered.

Treats some basic topics in the spectral theory of dynamical systems. The treatment is at a general level, but two more advanced theorems, one by H. Helson and W. Parry and the other by B. Host, are presented. Moreover, Ornstein's family of mixing rank one automorphisms is described with construction and proof.

Deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral. There is a separate chapter on the change of variable formula and one on Lp- spaces.

Contains the proceedings of the international colloquium organised by the Tata Institute of Fundamental Research in 2016. The talks at the colloquium covered a wide spectrum of mathematics, ranging over algebraic geometry, topology, algebraic $K$-theory and number theory. This volume contains refereed articles by leading experts in these fields.

Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics, and representation theory. This book is a detailed account of this interplay. The book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups. It also gives a detailed account of Grassmann varieties, flag varieties, and their Schubert subvarieties.

Introduces the first concepts of Algebraic Topology, such as general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory, in detail. The text has been designed for undergraduate and beginning graduate students of Mathematics. It assumes a minimal background of linear algebra, group theory and topological spaces.

Introduces recent and advanced techniques in the area of Analytic and Algebraic Geometry. This volume explores recent developments in the area, and is aimed at young researchers, who are new to this area. Research articles have been added to give examples of how to use these techniques to prove new results.

Combines the spirit of a textbook and of a monograph on the topic of Semigroups and their applications. It is expected to have potential users across a broad spectrum including operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics.