Series: Pure and Applied Mathematics
ISBN: 1584886366
Publication Date: 9/15/2006
Number of Pages: 350
Presents articles that are important to classical analysis,
interpolation, approximation, and numerical methods
Contains an article about the life and contributions of Professor
Sharma
Provides carefully edited, peer-reviewed papers
Features contributions from well-known international
mathematicians
Frontiers in Interpolation and Approximation is a collection of
original peer-reviewed research articles and comprehensive survey
papers in memory of Professor Ambikeshwar Sharma, a leading
mathematician whose research spanned several areas of
approximation theory and classical analysis. Comprising twenty-two
articles, fifteen of which are survey and seven of which contain
original results, this book presents important results in
classical analysis, interpolation and approximation, as well as
numerical methods. It features well-known international
mathematicians as contributors, includes an article on the life
of Professor Sharma, and provides valuable material for graduate
students.
Table of Contents
Small Scale (Atomic/Cluster/Nanoscale) Processes. Dislocation-Based
Processes. Microstructure Change Processes. Macroprocesses.
Multiscale Processes.
Series: Pure and Applied Mathematics
ISBN: 1584886250
Publication Date: 9/30/2006
Number of Pages: 400
Focuses on the development of the Moore-Penrose inverse, offering
an excellent preparation for advanced treatises
Uses concrete examples to make arguments more clear
Includes an appendix that reviews basic linear algebra and
related prerequisites
Provides numerous homework problems and suggestions for further
reading
Accessible to advanced undergraduates and beginning graduate
students, Intermediate Topics in Matrix Theory is designed for a
second course in matrix theory and linear algebra. It features
the idea of generalized inverse of a matrix, especially the Moore-Penrose
inverse, and employs the concept of full-rank factorization
throughout the text. It presents important ideas including the
Henderson and Searle formulas, Schur complements, the Sherman-Morrison-Woodbury
formula, the LU factorization, the Frame algorithm, the Cayley-Hamilton
theorem, Sylvester's Rank formula, and much more. Concrete
examples and numerous homework problems thoroughly reinforce the
concepts and techniques presented.
Table of Contents
The Idea of Inverse. Generating Invertible Matrices. Subspaces
Associated to Matrices. The Moore Penrose Inverse. Generalized
Inverses. Norms. Inner Products. Projections. Spectral Theory.
Matrix Diagonalization. The Jordan Canonical Form. Multilinear
Matters.
CRC Standard Curves and Surfaces with Mathematica, Second Edition
Series: Applied Mathematics and Nonlinear Science
ISBN: 1584885998
Publication Date: 9/1/2006
Number of Pages: 576
Incorporates new chapters on Green's functions for common
problems, regular surfaces, irregular and miscellaneous surfaces,
and minimal surfaces
Includes coverage on Riemann's continuous but nowhere
differentiable function
Presents historical notes along with additional references
Provides a CD-ROM containing all the Mathematica 5.0 code behind
the illustrations
A virtual encyclopedia of curves and functions, CRC Standard
Curves and Surfaces with Mathematica depicts nearly all of the
standard mathematical functions rendered using the software
package Mathematica. Along with additional examples, historical
notes, and citations, this expanded second edition features four
new chapters: Green's Functions, Regular Surfaces, Irregular and
Miscellaneous Surfaces, and Minimal Surfaces. It also updates the
Mathematica code, called "notebooks," to the latest
version (5.0), which allows much more detailed illustrations, and
makes these notebooks available on an enclosed CD-ROM, usable on
any platform, so that readers can easily render and manipulate
the functions presented in the book.
Table of Contents
Introduction. Algebraic Functions. Transcendental Functions.
Polynomial Sets. Special Functions in Mathematical Physics.
Green's Functions for Some Common Problems. Special Functions in
Probability and Statistics. Non-Differentiable and Discontinuous
Functions. Random Processes. Polygons. Three-Dimensional Curves.
Algebraic Surfaces. Transcendental Surfaces. Complex-Variable
Surfaces. Regular and Semi-Regular Solids with Edges. Irregular
and Miscellaneous Solids. Minimal Surfaces.
Kendall's Library of Statistics 10
SBN13: 9780340816769ISBN10: 0340816767
hardback, 400 pages Jan 2007,
Description
The development of sophisticated computational methods for
inference and forecasting has resulted in an enormous increase in
the time series literature in recent years. This book integrates
existing and new developments in time series analysis by
presenting an overview of the main models and methods for
inference and forecasting from the time-domain and frequency-domain
perspectives, exploring connections between these two approaches.
The book focuses on maximum likelihood and Bayesian methodologies.
An overview of the key simulation-based methods for model fitting
and prediction, including Gibbs sampling, general MCMC methods
and particle filters is provided. The time series models and
theory are illustrated by considering data analyses from a wide
range of application areas, such as signal procesing, finacne and
the earth and life sciences. This book is an important reference
on state-of-the-art time series methodology, serving as a guide
to recent literature and encouraging readers to further
investigate areas of their particular interest by pointing them
to the appropriate references.
Product Details
400 pages; 25 illus.; ISBN13: 978-0-340-81676-9ISBN10: 0-340-81676-7
About the Author(s)
Raquel Prado, Department of Applied Mathematics & Statistics,
University of California, Santa Cruz, and Mike West, Professor of
Statistics & Decision Sciences, Duke University, Durham,
North Carolina