ISBN: 0-470-84861-8
Hardcover
328 pages
October 2003
ISBN: 0-470-84862-6
Paperback
328 pages
October 2003
Description
Table of Contents
Since its original publication in 1990, Kenneth
Falconer’s
Fractal Geometry: Mathematical Foundations
and Applications has
become a seminal text on the mathematics
of fractals. It
introduces the general mathematical theory
and applications of
fractals in a way that is accessible to students
from a wide
range of disciplines. This new edition has
been extensively
revised and updated. It features much new
material, many
additional exercises, notes and references,
and an extended
bibliography that reflects the development
of the subject since
the first edition.
・ Provides a comprehensive and accessible
introduction to the
mathematical theory and applications of fractals.
・ Each topic is carefully explained and
illustrated by examples
and figures.
・ Includes all necessary mathematical background
material.
・ Includes notes and references to enable
the reader to pursue
individual topics.
・ Features a wide selection of exercises,
enabling the reader
to develop their understanding of the theory.
・ Supported by a Web site featuring solutions
to exercises, and
additional material for students and lecturers.
Fractal Geometry: Mathematical Foundations
and Applications is
aimed at undergraduate and graduate students
studying courses in
fractal geometry. The book also provides
an excellent source of
reference for researchers who encounter fractals
in mathematics,
physics, engineering, and the applied sciences.
July 2003, ISBN 1-4020-7567-7, Hardbound
Book Series: NONCONVEX OPTIMIZATION AND ITS
APPLICATIONS : Volume
71
This is the first book that exploits the
bi-level structure of
semi-infinite programming systematically.
It highlights
topological and structural aspects of general
semi-infinite
programming, formulates powerful optimality
conditions, which
take this structure into account, and gives
a conceptually new bi-level
solution method. The results are motivated
and illustrated by a
number of problems from engineering and economics
that give rise
to semi-infinite models, including (reverse)
Chebyshev
approximation, minimax problems, robust optimization,
design
centering, defect minimization problems for
operator equations,
and disjunctive programming.
Audience: The book is suitable for graduate
students and
researchers in the fields of optimization
and operations research.
August 2003, ISBN 1-4020-7571-5, Hardbound
Book Series: MATHEMATICS AND ITS APPLICATIONS
: Volume 562
This volume is devoted to the qualitative
investigation of two-dimensional
polynomial dynamical systems and is aimed
at solving Hilbert's
Sixteenth Problem on the maximum number and
relative position of
limit cycles. The author presents a global
bifurcation theory of
such systems and suggests a new global approach
to the study of
limit cycle bifurcations.
The obtained results can be applied to higher-dimensional
dynamical systems and can be used for the
global qualitative
analysis of various mathematical models in
mechanics,
radioelectronics, in ecology and medicine.
Audience: The book would be of interest to
specialists in the
field of qualitative theory of differential
equations and
bifurcation theory of dynamical systems.
It would also be useful
to senior level undergraduate students, postgraduate
students,
and specialists working in related fields
of mathematics and
applications.
Series
Pure and Applied Mathematics series.Volume:
259
Textbook | Print Published: 09/01/2003
Hard Cover
550 pages | Illustrated
Print ISBN: 0-8247-0724-9
Description
Includes a separate section featuring approximately
100 examples.
Fundamental to theoretical probability and
valuable in such
applications as financial, insurance, and
biological modeling and
deconvolution problems in mathematical physics,
infinite
divisibility has proven to be a very profitable
area of research.
Reassessing classical theory and presenting
new developments,
Infinite Divisibility of Probability Distributions
on the Real
Line is a definitive, example-filled text
focused on divisibility
with respect to convolution and addition
of independent random
variables.
Table of Contents
Introduction and Overview
Infinitely Divisible Distributions on the
Nonnegative Integers
Infinitely Divisible Distributions on the
Nonnegative Reals
Infinitely Divisible Distributions on the
Real Line
Self-Decomposability and Stability
Infinite Divisibility and Mixtures
Infinite Divisibility in Stochastic Processes
Appendix A: Prerequisites from Probability
and Analysis
Appendix B: A List of Well-Known Distributions
Notations and Conventions
Bibliography
Author Index
Subject Index.
Series
Drugs and The Pharmaceutical Sciences series.Volume:
135
Book | Print Published: 10/01/2003
Hard Cover
650 pages | Illustrated
Print ISBN: 0-8247-4695-3
Description
Includes a disk with special programs to
aid in problem analysis.
Presents fresh material on concept conformity
and release targets.
Describes linear regression and correlation,
the analysis of
variance, and crossover designs.
Table of Contents
Basic Definitions and Concepts
Data graphics
Introduction to Probability: The Binomial
and Normal Probability
Distributions
Choosing Samples
Statistical Inference: Estimation and Hypothesis
Testing
Sample Size and Power
Linear Regression and Correlation
Analysis of Variance
Factorial Designs
Transformations and Outliers
Experimental Design in Clinical Trials
Quality Control
Validation
Computer-Intensive Methods
Nonparametric Methods
Optimization Techniques and Screening Designs
Appendix I: Some Properties of the Variance
Appendix II: Comparison of Slopes and Testing
of Linearity:
Determination of Relative Potency
Appendix III: Multiple Regression
Appendix IV: Tables
Appendix V: Outlier Tests and Chemical Assays
Appendix VI: Should a Single Unexplained
Failing Assay Be Reason
to Reject a Batch
Answers to Exercises
Index.
Series
Mechanical Engineering series. Volume: 163
Textbook | Print Published: 10/01/2003
Hard Cover
350 pages | Illustrated
Print ISBN: 0-8247-4624-4
Description
Presents a theory of dimensioning synthesized
from several areas
of geometry, starting from the works of Euclid
and culminating in
some recent results in classification of
continuous symmetry
groups. Features numerous examples and illustrations
for better
understanding of concepts.
Table of Contents
Congruence
Dimensioning Elementary Curves
Conics
Free-form Curves
Space Curves
Dimensioning Elementary Surfaces
Quadrics
Free-form Surfaces
Swept Surfaces
Dimensioning Relative Positions of Elementary
Objects
Distances and Angles
Some Cases Involving Points
Relative Positioning Two Lines
Relative Positioning Line and Plane
Relative Positioning Two Planes
Cases Involving Oriented Lines and Oriented
Planes
Cases Involving Helices
Symmetry
Groups
Symmetry Groups
Connected Lie Subgroups of the Rigid Motion
Group
Classification of Continuous Symmetry Groups
Classification of Tuples of Sets
Classification of Lower Order Kinematic Pairs
General Theory of Dimensioning Relative Positions
Tuple Congruence
Number of Dimensions for Relative Positions
More on Relative Positioning Spherical, Cylindrical,
Planar, and
Helical Classes
Adding the Revolute Class
Adding the Prismatic Class
Adding the General Class
Dimensional Constraints
Basic Geometric Constraints
Rigidity Theory
Inducing Hierarchy in Simultaneity
Dimensioning Solids
Dimensioning a Solid Polyhedron
Dimensioning Procedurally Defined Solids
Dimensioning Features
Appendices
A1. Matrices
A2. Groups
A3. Graphs
A4. Solids
Bibliography