Edmunds,D./Jain,K./Jain,P./Kufner,A./Persson,L.E./Saitoh Saburou

Functions Spaces and Applicatins.

1-84265-002-5
2000 July 280 pp.

Contents:
Limiting Behaviour of Solutions of a Sequence of Non-Homogeneous Boundary Value
Problems-G.S. Balashova/Some Separation Criteria and Inequalities Associated with Lineal Second Differential Operators-R.C. Brown et al./Weak Type Estimate for Averaging Operators -Maria J. Carro/Norms of Interpolation Operators Controlled by the Dicesar Function-Maria J. Carroet et al./On the Carcia-Falset Coefficient in Orlica Sequence Spaces Equipped with the Orlicz Norm-Yuvan Cui et al./On Some Fundamental Properties of the Maximal Operator-A. Fiorenza et al./Nontangential Approach Regions on Groups-I.L. Garcia et al./Stability of Sobolev Spaces with Zero Boundary Values-L.I. Hedberg/Imbedding of Weighted Sobolev Spaces -P.K. Jain and Pankaj Jain/Optimal Inequalities on Quasi-Normed Spaces-R. Kermean etc.

Kaushal,R./Parashar,D

Advanced Methods of Mathematical Physics.

1-84265-017-3
Aug. 2000 504 pp.

This is an advanced text for a two-semester course on mathematical physics to be given to students at the Master's level in theoretical physics. The book is a collection of topics ranging from the abstract ones such as the theory of finite groups, topology, differential geometry, integral equations and stochasticity which are discussed essentially in an introductory style rendering them comprehensible for the beginners, to those dealing with the formal as well as the appiicational aspects of nonlinear dynamics, conforming to the requirements of a more enterprising class of leaders interested in making contact with the ever-evolving advancements of modern technologies.

Mhaskar,H./Pai,D.

Fundamentals of Approximation Theory.

1-84265-016-5
544 pp.Aug. 2000

The book presents a systematic and in-depth treatment of some basic topics in approximation theory. A special effort is made here to emphasize the rich connections of different branches of analysis with this subject. The most attractive feature of the book is that it contains a good blend of both the classical as well as abstract topics in the domain and their interconnections as appropriate. The approach is from the very concrete to more and more abstract levels.

Pathak,R.

A Course in Distribution Theory and Applications.

1-84265-020-3
148 pp.
Sep. 2000

This text serves as an introduction to the theory of distributions, Fourier transforms, Sobolev spaces and Weak solutions. The book is as simple and self-contained as possible. The presentation is generally graded so that motivations, concepts and results are at first discussed, at least briefly, with a minimum technicality, then more complete details are given. A systematic presentation of the subject is given without making use of the theory of topological vector spaces, an account of which can be found in chapter 8 of the book. An introduction of distributions on manifolds is also given. Illustrative examples and exercises at the end of each chapter make the book most useful.

Karunakaran,V.

Complex Analysis.

1-84265-030-0
Dec. 2000

This book introduces Complex Analysis to undergraduate and postgraduate students of Mathematics in a lucid and clear language. It can be used as a text or as a reference book or for supplementing other text books in this topic. The only prerequisites are rudiments of real analysis and linear algebra. Special features include an integrated approach to the concept of differentiation for Complex valued functions of a Complex variable, unified Cauchy Riemann equations, a detailed discussion on the construction of Riemann Surfaces for elementary functions leading to its abstract concept, step by step development of the most general form of Cauchy's theorem, complex version of real intermediate value theorem, exhaustive treatment of contour integration and an introduction to the theory of univalent functions on the unit disc including a brief history of the Bieberbach's conjecture and its solution.

Sampath,S.

Sampling Theory and Methods.

1-84265-050-5
186 pp.
Dec. 2000

This book presents in detail several sampling schemes like simple random sampling, unequal probability sampling methods, systematics, stratified, cluster and multistage sampling. In addition to sampling schemes several estimating methods which include ratio and regression estimators are also discussed. The use of superpopulation models is covered in detail. Some recent developments which include estimation of distribution, functions, adaptive sampling schemes etc. are also presented. The book is intended to be used as a text for both undergraduate and post graduate students majoring in Statistics. This assumes very little background in probability theory and the material is presented in an extremely simple style. An added feature of this book is the inclusion of several worked examples of theoretical nature.

Adhikari,S.

Aspects of Combinatorics and Combinatorial Number Theory.

1-84265-049-1
2001

The author discusses various RamseY-type theorems in Combinatorics and Combinatorial number Theory. While many of the main results are classic, recent progress and further open questions are described to motivate researchers. In classical theorems, wherever possible, proofs are kept different from those in Graham, Rothschild and Spencer's book (henceforth GRS). For instance, Johnson's proof has been given for Erdoes-Szekeres Theorem mentioning references to the other proofs. For Hilbelt's theorem, after giving the dynamical proof following Furstenburg, a sketch of Hilbert's original proof is also given, which, as far as we know is not available in any book. In general, intersection and overlapping with GRS have been kept to the minimum. The last part of the book describes many rather recent Ramsey type results in Combinatorics with application of topological ideas. It does not touch much of the graph theoretic part of the theory.

Pal,R.

Multi-Layer Channel Routing: Complexity and Algorithms.

1-84265-018-1
400 pp.
Sep. 2000

This book focuses on computational complexity and design of algorithms for multi-layer channel routing and is an in-depth study and investigation into channel routing using multiple layers of interconnection in the alternating reserved multi-layer Manhattan routing model for both no-dogleg routing as well as restricted dogleg routing. Computational complexity of minimizing various cost factors mainly the minimization of total area and the total wire length in the multi-layer Channel routing are studied here and NP-hard intractability results established. Different efficient polynomial time heuristics for solving several such NP-hard problems are also designed.

Singh,D./Sivakumar,G.

Basic Logic and its Applications in Computer Science.

1-84265-039-4
Dec. 2000

In writing this book, the goal is to produce a text suitable for a first course in basic logic and its applications in computer science. The intended audience comprises upper level undergraduates of philosophy, mathematics and computer science. In fact, the text is so designed that parts I and II will be more than sufficient for philosophy students requiring logic for their Masters and Ph.D. levels. As logic is also being introduced at upper school level as well, a suitable fragment of Part I will meet such requirements. The text is self/contained in the sense that the leaders do not need any special background in mathematics and other sciences.