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 ...
Starting with a review of geometric ideas in differential Calculus, the book leads the reader gently to a thorough study of the basic theory of differential manifolds and lie groups, and ends with an introduction to Riemannian Geometry. The book is written in a conversational tone and is ideal for self-study. All the concepts are well motivated and explained with concrete examples. The reader will find that lie groups are used as thematic examples, so that when ...
The main aim of these lectures is to give an introduction to the theory of the topological degree and to some variational methods used in the solution of nonlinear equations in Banach spaces. While the treatment and choice of topics have been kept sufficiently general so as to interest all students of higher mathematics, the material presented will be especially useful to students aspiring to work in applications of mathematics. The first chapter gives a brisk ...
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. Not only does this lead to a simplified and transparent exposition of "difficult" results like the inverse and Implicit Function Theorems but also permits, without any extra effort, a discussion of the ...
The theme of the workshop was Algebraic number theory with special emphasis on Elliptic curves. The theory of Elliptic curves has been the source of new approaches to classical problems in number theory. It has also found applications in cryptography. The workshop also covered some aspects of cryptography. The volume is in three parts, the first part contains articles in the field of Elliptic curves, the second contains articles on Modular forms. Some basics as ...