Juliol 2003 - IEC - Institut d'Estudis Catalans

GEOMETRY
Audin, M., Université Louis
Pasteur et CNRS, Strasbourg,
France / Lerman, E.,
University of Illinois at
Urbana-Champaign, USA /
Cannas de Silva, A.,
Instituto Superior Técnico,
Lisboa, Portugal
Symplectic
Geometry of
Integrable
Hamiltonian
Systems
2003. 236 pages. Softcover
€ 28.–* / CHF 48.–
ISBN 3-7643-2167-9
Advanced Courses in
Mathematics - CRM Barcelona
This book contains an
expanded version of the
lectures delivered by the
authors at the CRM Barcelona
in July 2001. It serves as an
introduction to symplectic and
contact geometry for graduate
students and will be useful to
research mathematicians
interested in integrable
systems.
Topics & Features
· expanded lecture notes
originating from a summer
school at the CRM
Barcelona
· serves as an introduction to
symplectic and contact
geometry for graduate
students
· explores the underlying
(symplectic) geometry of
integrable Hamiltonian
systems
For orders originating from all over the
world except USA and Canada:
Birkhäuser Verlag AG
c/o Springer GmbH & Co
Haberstrasse 7
D-69126 Heidelberg
Fax: ++49 / 6221 / 345 4229
e-mail: birkhauser@springer.de
GEOMETRY / TOPOLOGY
Markvorsen, S., Technical
University of Denmark, Lyngby,
Denmark / Min-Oo, M.,
McMaster University
Hamilton, Ontario, Kanada
Global Riemannian
Geometry:
Curvature and
Topology
2003. 96 pages. Softcover
€ 24.–* / CHF 39.–
ISBN 3-7643-2170-9
Advanced Courses in
Mathematics - CRM Barcelona
The book contains a clear
exposition of two
contemporary topics in
modern differential geometry:
· distance geometric analysis
on manifolds, in particular,
comparison theory for
distance functions in spaces
which have well defined
bounds on their curvature
· the application of the
Lichnerowicz formula for
Dirac operators to the study
of Gromov's invariants to
measure the K-theoretic
size of a Riemannian
manifold.
It is intended for both
graduate students and
researchers who want to get
a quick and modern
introduction to these topics.
COMPUTER SCIENCE
Shparlinski, I., Macquarie
University, Sydney, Australia
Cryptographic
Applications of
Analytic Number
Theory
Complexity Lower Bounds
and Pseudorandomness
2002. 419 pages. Hardcover
€ 92.–* / CHF 148.–
ISBN 3-7643-6654-0
Progress in Computer Science
and Applied Logic, Vol. 22
The book introduces new
ways of using analytic
number theory in
cryptography and related
areas, such as complexity
theory and pseudorandom
number generation.
Key topics and features:
· various lower bounds on the
complexity of some number
theoretic and cryptographic
problems, associated with
classical schemes such as
RSA, Diffie-Hellman, DSA as
well as with relatively new
schemes like XTR and NTRU
· a series of very recent
results about certain
important characteristics
(period, distribution, linear
complexity) of several
commonly used
pseudorandom number
generators, such as the RSA
generator, Blum-Blum-Shub
generator, Naor-Reingold
generator, inversive
generator, and others
* € prices are net prices. All prices, dates and descriptions quoted are subject to change without previous notice.
For orders originating in the USA and
Canada:
Birkhäuser
333 Meadowland Parkway
Secaucus
NJ 07094-2491 / USA
Fax: +1 201 348 4505
e-mail: orders@birkhauser.com
GROUP THEORY
Lubotzky, A., Institute of
Mathematics, Hebrew
University, Jerusalem, Israel /
Segal, D., All Souls College,
Oxford, United Kingdom
Subgroup Growth
2003. 476 pages. Hardcover
€ 92.–* / CHF 148.–
ISBN 3-7643-6989-2
Progress in Mathematics,
Vol. 212
Winner of the Ferran
Sunyer i Balaguer
Prize 2002
Subgroup growth studies the
distribution of subgroups of
finite index in a group as a
function of the index. In the
last two decades this topic
has developed into one of the
most active areas of research
in infinite group theory; this
book is a systematic and
comprehensive account of
the substantial theory which
has emerged.
As well as determining the
range of possible 'growth
types', for finitely generated
groups in general and for
groups in particular classes
such as linear groups, a main
focus of the book is on the
tight connection between the
subgroup growth of a group
and its algebraic structure.
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