Progress in Mathematics, Vol. 174:
Goerss, P. / Jardine, J. :
Simplicial Homotopy Theory
since the beginning of the modern era of algebraic topology,
simplicial methods have been used systematically and effectively
for both computation and basic theory.
With the development of Quillen's concepts of a closed model category and,
in particular, a simplicial model category,
this collection of methods has become the primary way
to describe non-abelian homological algebra and to
address homotopy-theoretical issues in variety of fields,
including algebraic K-theory.
July 1999 500 pp.
3-7643-6064-X 13,280.
Birkhauser
Progress in Mathematics, Vol. 173:
Draxler, P. / Michler, G. / Ringel, C. (eds.):
Computational Methods for Representations of Groups and Algebras
This Euroconference held at Essen University in 1997.
The purpose of this meeting was to provide a survey of general
theoretical and computational methods and recent advances in
the representation theory of groups and algebras.
The foundations of these research areas were laid in survey articles by
P. Draxler and R. Norenberg on Classification problems in the representationtheory
of finite-dimensional algebras", R. A. Wilson on
"Construction of finite matrix groups" and E. Green on
"Noncommutative Grobner bases, and projective resolutions".
1999 372 pp.
3-7643-6063-1 13,280.
Birkhauser
Walnut, D. :
An Introduction to Wavelets
This is a comprehensive and detailed presentation
of the principles and methods of wavelet theory.
The basic theory of wavelets bases and transforms are presented
without assuming any knowledge of advanced mathematics.
The book motivates the central ideas of wavelets by discussing hoar Series
in depth and then presenting a more generalized viewpoint.
With many examples, exercises
and through references, this book will be
an essential resource for applied mathematicians engineers and scientists.
Nov. 1999 465 pp.
3-7643-3962-4 11,090.
Birkhasuer
Debnath, L. :
Wavelet Transforms and their Applications
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 12,020.
Birkhasuer