Harris, J. / Morrison, I. :
Moduli of Curves: A User's Guide
A guide to a rich and fascinating subject:
algebraic curves and how they vary in families.
Providing a broad but compact overview of the field,
this book is accessible to readers with a modest backbround in algebraic geometry.
It develops many techniques, including Hilbert schemes, deformation theory,
stable reduction, intersection theory, and geometric invariant theory,
with the focus on examples and applications arising in
the study of moduli of curves.
From such foundations, the book goes on to
show how moduli spaces of curves are constructed,
illustrates typical applications with the proofs of
the Brill-Noether and Gieseker-Petri theorems via limit linear
series, and surveys the most important results about their
geometry ranging from irreducibility and complete subvarieties
to ample divisors and Kodaira dimension.
July 1998 378 pp.
3-540-98483-0
Springer
Carmona, R. / Hwang, W.-L. / Torresani, B. :
Practical Time-Frequency Analysis
Time frequency analysis has been the object of intense
research activity in the last decade. This book gives a
self-contained account of methods recently introduced to analyze
mathematical functions and signals simultaneously in terms of
time and frequency variables. The book gives a detailed
presentation of the applications of these transforms to signal
processing, emphasizing the continuous transforms and their
applications to signal problems, including estimation, denoising,
detection, and synthesis. To help reader perform these analysis,
Practical Time-Frequency Analysis.
Sep. 1998 486 pp.
0-12-160170-6
Academic Press
Kuttler, K. L. :
Modern Analysis
This book provides broad coverage of real and abstract
analysis. Its topics include basic measure theory in abstract and
concrete form, material on classical linear functional analysis,
probability, and some basic results used in the theory of partial
differential equations. Modern Analysis is an ideal text for
graduate-level real analysis courses and basic courses on measure
theory using a modern approach.
May 1998 572 pp.
0-8493-7166-X
CRC Press
Positivity in Lie Theory:
Open Prolems
This book consists of 15 articles, each of which is an introduction to
a set of open research problems in Lie theory.
The unifying theme is of manifolds, semigroups on the level of groups,
and cones on the level of linear spaces and Lie algebras.
The topics range from geometric and algebraic structure theory through harmonic analysis,
representation theory as far as control theory and probability.
A characteristic feature of the field called "Positivity in Lie Theory"
is that notions of positivity in Lie theory occur in quite diverse
settings, are motivated by a wide variety of problems and applications,
and are approached from quite varying mathematical viewpoints.
While this diversity is attractive for the specialists,
it is often difficult for new-comers to the field to see the relation between
the various aspects and to pick the right problems.
May 1998 290 pp.
3-11-016112-5
de Gruyter
Favini, A. / Yagi Atsushi :
Degenerate Differential Equations in Banach Spaces
Contains a detailed study of linear abstract degenerate
differential equations, using both the semigroups generated by
multivalued (linear) operators and extensions of the operational
method from Da Prato and Grisvard. Describes recent and original
results on PDEs and algebraic-differential equations, and
establishes the analyzability of the semigroup generated by some
degenerate parabolic operators in spaces of continuous functions.
Sep. 1998 336 pp.
0-8247-1677-9
Marcel Dekker, Inc.
Martynyuk, A. A. :
Stability by Liapunov's Matrix Function Method with
Applications
Provides a systematic study of matrix Liapunov functions,
incorporating new techniques for the qualitative analysis of
nonlinear systems encountered in a wide variety of real-word
situations.
Aug. 1998 296 pp.
0-8247-0191-7
Marcel Dekker, Inc.
Chen, Z. / Li, Y. / Micchelli, C. / Xu, Y. (eds.):
Computational Mathematics
Presents the refereed proceedings of the Guangzhou International Symposium on
Computational Mathematics at Zhongshan Univ., Guangzhou, People's Republic of China.
Nearly 90 international mathematics examine numerical optimization methods,
wavelet analysis, computational approximation, numerical solutions
of differential and integral equations, numerical linear algebra,
inverse and ill-posed problems, geometric modeling, and signal
and image processing and their applications.
Sep. 1998 608 pp.
0-8247-1946-8
Marcel Dekker, Inc.
Dikranjan, D. / Salce, L. (eds.):
Abelian Groups, Module Theory, and Topology
Features a stimulating selection of papers on abelian groups,
commutative and noncomutative rings and their modules, and
topological groups. Investigates currently popular topics such as
Butler groups and almost completely decomposable groups.
Aug. 1998 472 pp.
0-8247-1937-9
Marcel Dekker, Inc.
Buttazzo, G. / Giaquinta, E. / Hildebrandt, S.:
One Dimensional Variational Problems
This book combines the efforts of a distinguished team of
authprs, all three renowned mathematicians and expositors, to
provide the reader with a modern introduction to the calculus of
variations. It should be welcome to graduate students who want to
get an idea what the modern approach to get an variational
problems is all about without being bothered by too many
technicalities, and to lectures who want to use a modern text for
a courses on the calculus of variations.
Dec. 1998 280 pp.
0-19-850465-9
Oxford Univ. Press
Sambin, G./ Smith, J. :
Twenty Years of Constructive Type Theory>> (Title
Change)
Martin-Lof Constructive Type Theory
Per Martin-Lofs work on the development of constructive type
theory has been of huge significance in the fields of logic and
the foundations of mathematics. It is also of broader
philosophical significance, and has important applications in
areas such as computing science and linguistics. This volume
draws together contributions from researchers whose work builds
on the theory developed by martin-Lof over the last twenty-five
years. As well as celebrating the anniversary of the subject it
covers many of the divers fields which are now influenced by type
theory. It is an invaluable record of areas of current activity,
but also contains contributions from N. G. de Bruijin and William
Tait, both important figures in the early development of the
subject.
Aug. 1998 320 pp.
0-19-850127-7
Oxford Univ. Press
Gabbay, D. M. :
Fibring Logics
Modern applications of logic, in mathematics, theoretical computer science,
and linguistics, require combined systems involving
many different logics working together.
In this book the author offers a basic methodology for combing--or fibring--systems.
This means that many existing complex systems can be broken down into
simpler components, hence making them much easier to manipulate.
Using this methodology the book discusses ways of obtaining
a wide variety of multimodal intuitionistic,
modal substructural and fuzzy systems in a uniform way.
Oct. 1998 624 pp.
0-19-850381-4
Oxford Univ. Press