Hindustan Book Agency (India)
66 books
Tantrasangraha, composed in 1500 CE by the renowned Kerala astronomer Nilakantha Somayaji (c.1444–1545 CE) ranks along with Aryabhanaya of Aryabhaña and Siddhàntashiromaoi of Bhàskaràcàrya as a seminal work that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is that it introduces a major revision of the traditional planetary models, leading to a unified theory ...
The material presented in this book is suited for a first course in Functional Analysis which can be followed by masters students. While covering all the standards material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would ...
"Insurance has become a necessary aspect of modern society. The mathematical basis of insurance modelling 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. Their basic structure and properties including the renewal theorems, as well as the corresponding ruin problems are studied. As heavy tailed distributions have become ...
This book is an introduction to the study of fundamental inequalities like the arithmetic mean-geometric mean inequality, the Cauchy-Schwarz inequality, the Chebyshev inequality, the rearrangement inequality, inequalities for convex and concave functions. The emphasis is on the use of these inequalities for solving problems. Its special feature is a chapter on the geometrical inequalities which studies relations between various geometrical measures. It contains ...
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. Students taking this course have a strong background in real analysis, linear algebra, measure theory and probability, and the course proceeds rapidly from the definition of a normed linear space to the spectral theorem for bounded selfadjoint operators in a Hilbert space. The ...
Flag varieties are important geometric objects and their study involves an interplay of geometry, combinatorics and representation theory. This book is detailed account of this interplay. In the area of representation theory, the book presents a discussion of complex semisimple Lie algebras and of semisimple algebraic groups; in addition, the representation theory of symmetric groups is also discusses. In the area of algebraic geometry, the book gives a detailed ...
This is an elementary introduction to the congruence subgroup problem, a problem which deals with number theoretic properties of groups defined arithmetically. The novelty and, indeed, the goal of this book is to present some applications to group theory as well as to number theory which have emerged in the last fifteen years. No knowledge of algebraic groups is assumed and the choice of the examples discussed seeks to convey that even special cases give ...
This text is a self-contained introduction to some problems for Toeplitz matrices that are placed in the borderland between linear algebra and functional analysis. We confine ourselves to Toeplitz matrices with rational symbols, and we focus our attention on the asymptotic behavior of the singular values, which includes the behavior of the norms, the norms of the inverses, and the condition numbers as special cases. The text illustrates that the asymptotics of ...
C.S. Seshadri turned seventy on the 29 of February, 2002. Some of his friends and students came together to felicitate Seshadri. To mark this occasion, a symposium was held in Chennai where some of his colleagues gave expository talks highlighting Seshadri’s contributions to mathematics. This volume contains expanded texts of these talks as well as research and expository papers on geometry and representation theory. It would undoubtedly serve as an excellent ...