Yor, Marc; Emery, Michel (Eds.)
In Memoriam Paul-Andre Meyer - Seminaire de Probabilites XXXIX
Series: Lecture Notes in Mathematics, Vol. 1874
Subseries: Seminaire de Probabilites
2006, VIII, 422 p. 12 illus., 4 in colour., Softcover
ISBN: 3-540-30994-2
About this book
The 39th volume of Seminaire de Probabilites is a tribute to the
memory of Paul Andre Meyer. His life and achievements are
recalled; homages are rendered by his friends and colleagues.
This volume also contains mathematical contributions to classical
and quantum stochastic calculus, the theory of processes,
martingales and their applications to mathematical finance,
Brownian motion. They provide an overview on the current trends
of stochastic calculus.
Written for:
Researchers and graduate students in probability theory and
stochastic processes
Contents
de Gosson, Maurice
Symplectic Geometry and Quantum Mechanics
Series: Operator Theory: Advances and Applications
Subseries: Advances in Partial Differential Equations , Vol. 166
2006, XX, 367 p., Hardcover
ISBN: 3-7643-7574-4
About this book
This book is devoted to a rather complete discussion of
techniques and topics intervening in the mathematical treatment
of quantum and semi-classical mechanics. It starts with a very
readable introduction to symplectic geometry. Many topics are
also of genuine interest for pure mathematicians working in
geometry and topology.
Written for:
Mathematical physicists as well as pure and applied
mathematicians
Contents
Aliprantis, Charalambos D., Border, Kim C.
Infinite Dimensional Analysis,3rd ed
2006, XXII, 703 p. 38 illus., Hardcover
ISBN: 3-540-29586-0
About this book
This monograph presents a complete and rigorous study of modern
functional analysis. It is intended for the student or researcher
who could benefit from functional analytic methods, but does not
have an extensive background and does not plan to make a career
as a functional analyst. It develops the topological structures
in connection with measure theory, convexity, Banach lattices,
integration, correspondences (multifunctions), and the analytic
approach to Markov processes. Many of the results were previously
available only in works scattered throughout the literature. The
choice of material was motivated from problems in control theory
and economics, although the material is more applicable than
applied.
Contents
Vapnik, Vladimir
Estimation of Dependences Based on Empirical Data
Empirical Inference Science, Afterword of 2006
Series: Information Science and Statistics
1st ed. 1982. Reprint, 2006, XVIII, 510 p. 28 illus., Hardcover
ISBN: 0-387-30865-2
About this book
In 1982, Springer published the English translation of the
Russian book Estimation of Dependencies Based on Empirical Data
which became the foundation of the statistical theory of learning
and generalization (the VC theory). A number of new principles
and new technologies of learning, including SVM technology, have
been developed based on this theory.
The second edition of this book contains two parts:
- A reprint of the first edition which provides the classical
foundation of Statistical Learning Theory
- Four new chapters describing the latest ideas in the
development of statistical inference methods. They form the
second part of the book entitled Empirical Inference Science
The second part of the book discusses along with new models of
inference the general philosophical principles of making
inferences from observations. It includes new paradigms of
inference that use non-inductive methods appropriate for a
complex world, in contrast to inductive methods of inference
developed in the classical philosophy of science for a simple
world.
The two parts of the book cover a wide spectrum of ideas related
to the essence of intelligence: from the rigorous statistical
foundation of learning models to broad philosophical imperatives
for generalization.
The book is intended for researchers who deal with a variety of
problems in empirical inference: statisticians, mathematicians,
physicists, computer scientists, and philosophers.
Contents
Tille, Yves
Sampling Algorithms
Series: Springer Series in Statistics
2006, XI, 216 p., Hardcover
ISBN: 0-387-30814-8
About this book
Over the last few decades, important progresses in the methods of
sampling have been achieved. This book draws up an inventory of
new methods that can be useful for selecting samples. Forty-six
sampling methods are described in the framework of general theory.
The algorithms are described rigorously, which allows
implementing directly the described methods. This book is aimed
at experienced statisticians who are familiar with the theory of
survey sampling.
Table of contents
Introduction and Overview.- Population, Sample and Sampling
Design.- Sampling Algorithms.- Simple Random Sampling.- Unequal
Probability Exponential Designs.- The Splitting Method.- More on
Unequal Probability Designs.- Balanced Sampling.- An Example of
The Cube Method.
Khrennikov, Andrei Yu; Rakic, Zoran; Volovich, Igor V. (Eds.)
P-Adic Mathematical Physics
2nd International Conference on p-Adic Mathematical Physics
Belgrade, Serbia and Montenegro, 15-21 September 2005
Series: AIP Conference Proceedings
Subseries: Mathematical and Statistical Phsyics , Vol. 826
2006, 384 p., Hardcover
ISBN: 0-7354-0318-X
About this book
The subject of this conference was recent developments in p-adic
mathematical physics and related areas. The field of p-Adic
mathematical physics was conceived in 1987 as a result of
attempts to find non-Archimedean approaches to space-time at the
Planck scale as well as to strings. Since then, many applications
of p-adic numbers and adeles in physics and related sciences have
emerged. Some of them are p-adic and adelic string theory, p-adic
and adelic quantum mechanics and quantum field theory,
ultrametricity of spin glasses, biological and hierarchical
systems, p-adic dynamical systems, p-adic probability theory, p-adic
models of cognitive processes and cryptography, as well as p-adic
and adelic cosmology.
Written for:
Physicists, mathematicians, graduate and undergraduate students
interested in mathematical physics and applications of advanced
techniques to quantum mechanics, particles and fields, cosmology,
cryptography, and other areas
Leung, Frederick K.S.; Graf, Klaus-D.; Lopez-Real, Francis J. (Eds.)
Mathematics Education in Different Cultural Traditions
- A Comparative Study of East Asia and the West The 13th ICMI Study
Series: New ICMI Study Series , Vol. 9
2006, XV, 597 p., Hardcover
ISBN: 0-387-29722-7
About this book
The fundamental idea of the ICMI Study 13 is outlined as follows:
Education in any social environment is influenced in many ways by
the traditions of these environments. As a consequence the
results of such education will naturally differ with different
traditions in different environments. Indeed, this is necessary
since one of the intentions of education is to support the
traditional continuity of structure and function of a special
environment.
On the other hand, today we are observing a growing
interdependence between environments like regions, states,
countries, and different cultural areas of the world. In many
respects they have to rely on corresponding or equivalent
standards of education, and differences can cause irritations.
In mathematics education also, taking an international and
intercultural point of view, we face this split phenomenon of
difference and correspondence, linked with the perpetual
challenge to improve the quality of mathematics education. A
study attempting a comparison between mathematics education in
different traditions will be helpful to understand this
phenomenon in detail and exploit it for the sake of mathematics
education.
The Study Volume will reflect the structure of the conference in
four sections of revised papers, integrating insights, results
and implications from the comparative discussions. To achieve
this revision and integration, section editors have initiated
vivid interaction with and between authors of the four working
groups. The editors (Leung, Lopez, Graf) expect the Volume to be
published in the series of ICMI studies by Springer in spring
2005.
Contents