This book is a state-of art presentation
by experts in the field,
which critically surveys wavelet analysis
as a tool for
fundamental computational harmonic analysis
problems
in applied mathematics and electrical engineering.
A selected range of topics and applications
are addressed,
including waveform analysis and sample applications
to signals,
deionising, fast numeral operation, and fast
PDE splvers.
Nov. 1999 385 pp.
3-7643-4104-1
Birkhasuer
Present a systemstic elaboration of the theory
of inverse problems
for all principal types of partial differential
equations---
developing a classical approach to the question
of existence,
uniqueness, and stability of solutions.
Covers up-to-date methods of linear and nonlinear
analysis,
the theory of differential equations in Banach
spaces,
applications of functional analysis, and
semigroup theory.
June 1999 744 pp.
0-8247-1987-5
Marcel Dekker, Inc.
Third Edition covers "the basics"--relations,
functions, and rderings;
finite, countable, and uncountable sets;
and cardinal and ordinal numbers
--in nine chapters perfect for a one-quarter
or one-semester course;
provides five additional self-contained chapters
to
supplement the basic course or serve as a
second-semester syllabus;
consolidates the material on real numbers
in a single
updated chapter affording flexibility in
course design;
supplies end-of-section problems; and more.
June 1999 312 pp.
0-8247-7915-0
Marcel Dekker, Inc.
Applications to Matrix Calculations, Systems
of
Equations, Inequalities, and Linear Programming
Departing from the standard methods of analysis,
this unique book presents methodologies and
algorithms based
on the concepts of orthogonality and demonstrates
their applications to
both standard and novel problems in linear
algebra.
Covering basic theory of linear systems,
linear inequalities,
and linear programming, it focuses on elegant,
computationally simple solutions to real-world
physical,
economic, and engineering problems.
The authors clearly explain the reasons behind
the analysis
of different structures and concepts and
use numerous illustrative examples
to correlate the mathematical models to the
reality they represent.
Apr. 1999 422 pp.
0-471-32889-8
John Wiley
Much has happened in the field of inference
and
decision making during the past decade or
so.
This fully updated revised third edition
of Comparative
Statistical Inference presents a wide ranging,
balanced account of
the fundamental issues across the full spectrum
of inference and
decision making. As in earlier editions,
the material is set
in a historical context to more powerfully
illustrate the ideas and concepts.
Recent changes in emphasis, principle and
methodology are carefully explained and evaluated.
These include major developments in the use
of modified forms
of the likelihood function, the computational
and interpretative
advantages opened up by the Gibbs sampler
and Markov Chain Monte Carlo methods,
advances in predictive methods in classical
Bayesian contexts
(including the prequential approach) and
broader incorporation
of multiparameter issues.
May 1999 381 pp.
0-471-97643-1
John Wiley
This new edition of Abstract Algebra builds
on the success of the original
edition, providing a very careful explanation
of the abstract ideas presented.
Interesting motivational applications of
algebraic ideas to such areas
as cryptography
and coding theory are expressed clearly,
yet comprehensively.
Structured to be accessible to students who
initially do not have a high
degree of mathematical sophistication,
this book is suitable for students of engineering
and computer science
as well as mathematics.
CONTENTS:
Groups; Rings; Polynomials; Factorisation
in Integral Domains;
Fields; Finitely Generated Abelian Groups;
p-Groups and the Sylow Theorems; Series of
Subgroups;
Galois's is Theory; Algebras.
July 1999 608 pp.
0-471-33109-0
John Wiley
This volume presents the proceedings of the
conference on
"Trends in Mathematical Physics"
held at the Univ. of Tennessee.
The conference drew international experts
from mathematical and computational physics.
The following topics were addressed: superstrings
and quantum gravity, pattern formation,
and crystallographic topology.
The cutting-edge research reflected in the
extensive surveys
in the book are written for a diverse audience.
1999 528 pp.
0-8218-2006-0
A. M. S.
In 1919, Bieberbach posed a seemingly simple
conjecture.
That "simple" conjecture challenged
mathematicians in complex analysis for
the following 68 years! In that time, a huge
number of
papers discussing the conjecture and its
related problems were inspired.
Finally in 1984, de Branges completed the
solution.
In 1989, Professor Gong wrote and published
a short book in Chinese,
The Bieberbach Conjecture,
outlining the history of the related problems
and de Branges' proof.
The present volume is the English translation
of
that Chinese edition with modifications by
the author.
In particular, he includes results related
to several complex variables.
Open problems and a large number of new mathematical
results motivated by the Bieberbach conjecture
are included.
1999 201 pp.
0-8218-0655-6
A. M. S.
This volume is a translation of Dirichlet's
Vorlesungen uber Zahlentheorie
which includes nine supplements by Dedekind
and an introduction by John Still well,
who translated the volume.
Lectures on Number Theory is the first of
its kind on the subject matter.
It covers most of the topics that are standard
in a modern first course on number theory,
but also includes Dirichlet's famous results
on class numbers and primes in arithmetic
progressions.
The book is suitable as a textbook, yet it
also offers a fascinating
historical perspective that links Gauss with
modern number theory.
The legendary story is told how Dirichlet
kept a copy of Gauss's Disquisitiones Arithmeticae
with him at all times and how Dirichlet strove
to clarify and simplify Gauss's results.
Dedekind's footnotes document what material
Dirichlet took from Gauss,
allowing insight into how Dirichlet transformed
the ideas into essentially modern form.
Also shown is how Gauss built on a long tradition
in number theory--going back to Diophantus--
and how it set the agenda for Dirichlet's
work.
This important book combines historical perspective
with transcendent mathematical insight.
1999 275 pp.
0-8218-2017-6
A. M. S.
The main theme of the book is the spectral
theory for evolution operators and evolution
semigroups,
a subject tracing its origins to the classical
results of J. Mather
on hyperbolic dynamical systems and J. Howland
on nonautonomous Cauchy problems.
The authors use a wide range of methods and
offer a unique presentation.
The authors give a unifying approach for
a study of infinite-dimensional nonautonomous
problems,
which is based on the consistent use of evolution
semigroups.
This unifying idea connects various questions
in stability of semigroups,
infinite-dimensional hyperbolic linear skew-product
flows, translation Banach algebras, transfer
operators,
stability radii in control theory, Lyapunov
exponents, magneto-dynamics and hydrodynamics.
Sep. 1999 361 pp.
0-8218-1185-1
A. M. S.