Nicolae Dinculeanu

Vector Integration and Stochastic Integration in Banach Spaces

ISBN: 0-471-37738-4
Hardcover
Published: Jan 2000
Copyright: 2000
Imprint: Wiley-Interscience

Stochastic integration has become a hot topic in recent decades, due to its spectacularly successful application to financial mathematics. This book presents for the first time the theory of stochastic integration at the highest level of generality, namely, integration with respect to a process with finite semivariation (rather than finite variation) and with values in a Banach space (rather than a Hilbert space).

Cntents

Vector Integration.
The Stochastic Integral.
Martingales.
Processes with Finite Variation.
Processes with Finite Semivariation.
The Ito Formula.
Stochastic Integration in the Plane.
Two-Parameter Martingales.
Two-Parameter Processes with Finite Variation.
Two-Parameter Processes with Finite Semivariation.
References.
Subject:
Mathematics / Mathematics Special Topics /

Series Title:
Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts

N. J. Fliege (Hamburg Univ. of Technology, Germany)

Multirate Digital Signal Processing
: Multirate Systems - Filter Banks - Wavelets

ISBN: 0-471-49204-3
Paperback
Pages: 352
Published: Dec 1999
Copyright: 2000

Illustrates the properties of various filter banks, enabling readers to distinguish between their diverse types. Provides design methodologies for multirate filters and filter banks. Since much of the material is quite advanced, the text features many figures and examples to aid understanding. Includes an international bibliography containing approximately 150 references to encourage readers to learn more about
this fascinating and complex subject.

Contents
ampling Rate Conversion.
FIR Filters.
Design of FIR Filters.
Decimation and Interpolation.
Multirate Filters.
Two-Channel Filter Banks.
Uniform M-Channel Filter Banks.
Filter Banks with Polyphase Structure.
Octave Filter Banks and Wavelets.
Applications.
Appendices.
References.
Index.
Subject:
Electrical & Electronics Engineering / Communication Technology / Signal Processing

Achintya Haldar (Univ. of Arizona, Tucson, Arizona)
Sankaran Mahadevan (Vanderbilt Univ., Nashville, Tennessee)

Reliability Assessment Using Stochastic Finite Element Analysis

ISBN: 0-471-36961-6
Hardcover
Projected Pub Date: May 2000
Copyright: 2000

The first complete guide to using the Stochastic Finite Element Method for reliability assessment

Unlike other analytical reliability estimation techniques, the Stochastic Finite Element Method (SFEM) can be used for both implicit and explicit performance functions, making it a particularly powerful and robust tool for today痴 engineer. This book, written by two pioneers in SFEM-based methodologies, shows how to use SFEM for the reliability analysis of a wide range of structures.

It begins by reviewing essential risk concepts, currently available risk evaluation procedures, and the use of analytical and sampling methods in estimating risk. Next, it introduces SFEM evaluation procedures, with detailed coverage of displacement-based and stress-based deterministic finite element approaches. Linear, nonlinear, static, and dynamic problems are considered separately to demonstrate the robustness of the methods. The risk or reliability estimation procedure for each case is presented in different chapters,
with theory complemented by a useful series of examples.

Integrating advanced concepts in risk-based design, finite elements, and mechanics, Reliability Assessment Using Stochastic Finite Element Analysis is vital reading for engineering professionals and students in all areas of the field.

Contents
Basic Concept of Reliability.
Commonly Used Probability Distributions.
Fundamentals of Reliability Analysis.
Simulation Techniques.
Implicit Performance Functions: Introduction to SFEM.
SFEM for Linear Static Problems.
SFEM for Spatial Variability Problems.
SFEM-Based Reliability Evaluation of Nonlinear Two and Three Dimensional Structures.
Structures Under Dynamic Loading.
Appendices.

Subject: Civil Engineering / Structures /

Wilfried Imrich (Montanuniversitet, Leoben, Austria)
Sandi Klavzar (Univ. of Maribor and Univ. of Ljubljana, Slovenia)

Product Graphs: Structure and Recognition

ISBN: 0-471-37039-8
Hardcover
Projected Pub Date: Mar 2000
Copyright: 2000

A comprehensive introduction to the four standard products of graphs and related topics

Addressing the growing usefulness of current methods for recognizing product graphs, this new work presents a much-needed, systematic treatment of the Cartesian, strong, direct, and lexicographic products of graphs as well as graphs isometrically embedded into them. Written by two leading experts in this rapidly evolving area of combinatorics, Product Graphs: Structure and Recognition compiles and consolidates a wealth of information previously scattered throughout the literature, providing researchers in the field with ready access to
numerous recent results as well as several new recognition algorithms and proofs. The authors explain all topics from the ground up and make the requisite theory and data structures easily accessible for mathematicians and computer scientists alike.

Coverage includes
The basic algebraic and combinatorial properties ofproduct graph Hypercubes, median graphs, Hamming graphs, triangle-free graphs, and vertex-transitive graphs Colorings, automorphisms, homorphisms, domination, and the capacity of products of graphsSample applications, including novel applications to chemicalgraph theoryClear connections to other areas of graph theoryFigures, exercises, and hundreds of references

Contents
Basic Concepts.@Hypercubes.
Hamming Graphs.
Cartesian Products.
Strong and Direct Products.
Lexicographic Products.
Fast Recognition Algorithms.
Invariants.
Appendices.
Bibliography.
Indexes.
Subject: Mathematics / Discrete Mathematics /

Series Title: Wiley-Interscience Series in Discrete Mathematics

Svante Janson (Uppsala Univ., Sweden)
Tomasz Luczak (Adam Mickiewicz Univ., Poland and Emory Univ., Atlanta, Georgia)
Andrzej Rucinski (Adam Mickiewicz Univ., Poland and Emory Univ., Atlanta, Georgia)

Random Graphs

ISBN: 0-471-17541-2
Hardcover
Pages: 336
Published: Feb 2000
Copyright: 2000

A unified, modern treatment of the theory of random graphs吠ncluding recent results and techniques

Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollob?s痴 well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include:
A focus on the fundamental theory as well as basic models of random graphs A detailed description of the phase transition phenomenon Easy-to-apply exponential inequalities for large deviation bounds
An extensive study of the problem of containing small subgraphs Results by Bollob?s and others on the chromatic number of random graphs The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs A gentle introduction to the zero-one laws Ample exercises, figures, and bibliographic references

Contents
Preliminaries.
Exponentially Small Probabilities.
Small Subgraphs.
Matchings.
The Phase Transition.
Asymptotic Distributions.
The Chromatic Number.
Extremal and Ramsey Properties.
Random Regular Graphs.
0-1 Laws.
References.
Indexes.
Subject: Mathematics / Discrete Mathematics /

Series Title: Wiley-Interscience Series in Discrete Mathematics

Samuel Kotz (George Washington Univ., Washington, D.C.)
N. Balakrishnan (McMaster Univ., Hamilton, Canada)
Norman L. Johnson (Univ. of North Carolina, Chapel Hill)

Continuous Multivariate Distributions: Models and Applications, 2nd Ed.

ISBN: 0-471-18387-3
Hardcover
Projected Pub Date: Apr 2000
Copyright: 2000

The fifth volume in what is widely known as the definitive work on statistical distributions, Continuous Multivariate Distributions, Second Edition, Volume 1: Models and Applications, is a comprehensive revision of Johnson and Kotz's acclaimed 1972 work. It represents the next installment in a unique collection that encompasses discrete univariate distributions, continuous univariate distributions, and discrete
multivariate distributions.

Subject:
Statistics / Applied Probability & Statistics /

Series Title:
Wiley Series in Probability and Mathematical Statistics - Applied Probability and Statistics Section