Series: Universitext
2004, XXII, 430 p., Softcover
ISBN: 3-540-05923-7
Due: November 12, 2003
About this textbook
Functions in R and C, including the theory
of Fourier series,
Fourier integrals and part of that of holomorphic
functions, form
the focal topic of these two volumes. Based
on a course given by
the author to large audiences at Paris VII
University for many
years, the exposition proceeds somewhat nonlinearly,
blending
rigorous mathematics skilfully with didactical
and historical
considerations. It sets out to illustrate
the variety of possible
approaches to the main results, in order
to initiate the reader
to methods, the underlying reasoning, and
fundamental ideas. It
is suitable for both teaching and self-study.
In his familiar,
personal style, the author emphasizes ideas
over calculations
and, avoiding the condensed style frequently
found in textbooks,
explains these ideas without parsimony of
words. The French
edition in four volumes, published from 1998,
has met with
resounding success: the first two volumes
are now available in
English.
Written for: Undergraduate students, and
lecturers in analysis
Keywords: convergence, derivations, analytic
functions, Fourier
integrals
Table of contents
2003, Approx. 250 p. 19 illus., Softcover
ISBN: 1-85233-493-2
Due: November 1, 2003
About this textbook
Examples and Theorems in Analysis takes a
unique and very
practical approach to mathematical analysis.
It makes the subject
more accessible by giving the examples equal
status with the
theorems. The results are introduced and
motivated by reference
to examples which illustrate their use, and
further examples then
show how far the assumptions may be relaxed
before the result
fails. A number of applications show what
the subject is about
and what can be done with it; the applications
in Fourier theory,
distributions and asymptotics show how the
results may be put to
use. Exercises at the end of each chapter,
of varying levels of
difficulty, develop new ideas and present
open problems. Written
primarily for first- and second-year undergraduates
in
mathematics, this book features a host of
diverse and interesting
examples, making it an entertaining and stimulating
companion
that will also be accessible to students
of statistics, computer
science and engineering, as well as to professionals
in these
fields.
Written for: Undergraduate students of mathematics;
students and
researchers in mathematics, statistics, computer
science and
engineering
Table of contents
Preface.- Sequences.- Functions and Continuity.-
Differentiation.-
Constructive Integration.- Improper Integrals.-
Series.-
Applications.- Appendix A: Fubini's Theorem.-
Appendix B: Hints
and Solutions for Exercises.- References.-
Index.
2004, XVII, 367 p. 29 Illus., Hardcover
ISBN: 3-540-40744-8
Due: November 13, 2003
About this book
Initially proposed as rivals of classical
logic, alternative
logics have become increasingly important
in sciences such as
quantum physics, computer science, and artificial
intelligence.
The contributions collected in this volume
address and explore
the question whether the usage of logic in
the sciences,
especially in modern physics, requires a
deviation from classical
mathematical logic. The articles in the first
part of the book
set the scene by describing the context and
the dilemma when
applying logic in science. In part II the
authors offer several
logics that deviate in different ways from
classical logics. The
twelve papers in part III investigate in
detail specific aspects
such as quantum logic, quantum computation,
computer-science
considerations, praxic logic, and quantum
probability. Most of
the contributions are revised and partially
extended versions of
papers presented at a conference of the same
title of the
Academie Internationale de Philosophie des
Sciences held at the
Internationales Forschungszentrum Salzburg
in May 1999. Others
have been added to complete the picture of
recent research in
alternative logics as they have been developed
for applications
in the sciences.
Written for: Researchers, graduate students
Table of contents
Series: Encyclopaedia of Mathematical Sciences
, Vol. 141
2004, 470 p., 150 figs., Hardcover
ISBN: 3-540-00203-0
Due: November 25, 2003
About this book
Graphs drawn on two-dimensional surfaces
have always attracted
researchers by their beauty and by the variety
of difficult
questions to which they give rise. The theory
of such embedded
graphs, which long seemed rather isolated,
has witnessed the
appearance of entirely unexpected new applications
in recent
decades, ranging from Galois theory to quantum
gravity models,
and has become a kind of a focus of a vast
field of research. The
book provides an accessible introduction
to this new domain,
including such topics as coverings of Riemann
surfaces, the
Galois group action on embedded graphs (Grothendieck's
theory of
"dessins d'enfants"), the matrix
integral method,
moduli spaces of curves, the topology of
meromorphic functions,
and combinatorial aspects of Vassiliev's
knot invariants and, in
an appendix by Don Zagier, the use of finite
group representation
theory. The presentation is concrete throughout,
with numerous
figures, examples (including computer calculations)
and
exercises, and should appeal to both graduate
students and
researchers.
Written for: Graduate students and researchers
Table of contents
Series: Texts in Applied Mathematics , Vol.
47
2004, Approx. 230 pp., Softcover
ISBN: 0-387-40399-X
Due: December 1, 2003
About this textbook
This books aims to provide students and researchers
with a basis
for understanding the wide range of wave
phenomena with which any
mathematician may be confronted in applications.
Compressible
flow is the main focus of the book however
the authors show how
wave phenomena in electromagentism and solid
mechanics can be
treated using similar mathematical methods.
This book originated
from a course at Oxford University and previous
book by H
Ockendon and R Taylor entitled Inviscid Fluid
Flows. This
monograph has been retitled and revised throughly
to reflect
scientific interest. The book has exercises
at end of each
chapter and should appeal to senior undergraduate
and graduate
students interested in fluid mechanics.
Written for: researchers graduate studentsnone
Table of contents
Introduction * The equations of Inviscid
Compressible Flow *
Models for Linear Wave Propagation * Theories
for Linear Waves *
Nonlinear Waves and Shocks in Fluids