2005, X, 138 p., Softcover
ISBN: 0-8176-4371-0
About this biography
1995 marked the 50th anniversary of Stefan Banach's death. Until
now, the general English speaking public has had no access to an
in-depth life story of a mathematician whose name is one of those
most often encountered in modern mathematical research. This
small volume, originally written in Polish by a well-known
reporter, is an effort to fill that gap in the biographical
literature. It is based on original archival sources, dozens of
interviews with people who knew and remember Banach, and
conversations with mathematicians who are familiar with Banach's
work and its impact on modern mathematics. The author presents
engaging descriptions of Banach's personality and the unusual
milieu in which he worked. Further, Chapter V focuses on the
famous Scottish cafe, which like Banach himself, has achieved a
mythical dimension in mathematical lore. The English edition has
been revised to include new materials and many photographs, and
to reflect the interests of a broader international audience.
Table of contents
Translator and editors' preface.- Foreword.- Beginnings and
premonitions.- The "greatest discovery" of Hugo
Steinhaus.- Lvov and mathematics.- Studia Mathematica and
Operations Lineaires.- The Scottish Cafe.- Banach privately and
in daily life.- The last years.- In the eyes of friends and
followers.- Appendix 1: Mathematics in Stefan Banach's times / W.A.
Woyczynski.- Appendix 2: Selected publications of Stefan Banach.-
Appendix 3: Bibliography.- Index of Names.
Series: Progress in Mathematics, Vol. 237
2005, VIII, 264 p., Hardcover
ISBN: 3-7643-7215-X
About this book
This volume presents the invited lectures of the workshop "Infinite
Dimensional Algebras and Quantum Integrable Systems'' held in
July 2003 at the University of Algarve, Faro, Portugal, as a
satellite workshop of the XIV International Congress on
Mathematical Physics. Recent developments in the theory of
infinite dimensional algebras and their applications to quantum
integrable systems are reviewed by some of the leading experts in
the field. The volume will be of interest to a broad audience,
from graduate students to researchers in mathematical physics and
related fields.
Table of contents
Preface.- Gaudin Model and Opers.- Integrable Models with
Unstable Particles.- Quantum Reduction in the Twisted Case.-
Representation Theory and Quantum Integrability.- Connecting
Lattice and Relativistic Models via Conformal Field Theory.-
Elliptic Spectral Parameter and Infinite Dimensional Grassmann
Variety.- Trigonometric Degeneration and Orbifold Wess-Zumino-Witten
Model.- Well-Petersson Geometry of the Universal Teichmuller
Space.- Duality for Knizhinik-Zamolodchikov and Dynamical
Equations, and Hypergeometric Integrals.
2005, XIV, 184 p., Softcover
ISBN: 0-8176-4370-2
About this textbook
In his new undergraduate textbook, Harold M. Edwards proposes a
radically new and thoroughly algorithmic approach to linear
algebra. Originally inspired by the constructive philosophy of
mathematics championed in the 19th century by Leopold Kronecker,
the approach is well suited to students in the computer-dominated
late 20th century.
Each proof is an algorithm described in English that can be
translated into the computer language the class is using and put
to work solving problems and generating new examples, making the
study of linear algebra a truly interactive experience.
Designed for a one-semester course, this text adopts an
algorithmic approach to linear algebra giving the student many
examples to work through and copious exercises to test their
skills and extend their knowledge of the subject. Students at all
levels will find much interactive instruction in this text while
teachers will find stimulating examples and methods of approach
to the subject.
Table of contents
Preface.- Matrix Multiplication.- Equivalence of Matrices.
Reduction to Diagonal Form.- Matrix Division.- Determinants.-
Testing for Equivalence.- Matrices With Rational Number Entries.-
The Method of Least Squares.- Matrices with Polynomial Entries.-
Similarity of Matrices.- The Spectral Theorem.- Appendix: Linear
Programming.
Series: International Series of Numerical Mathematics, Vol.
150
2005, Approx. 160 p., Hardcover
ISBN: 3-7643-7229-X
About this book
This monograph presents a new theory for analysis, comparison and
design of nonlinear smoothers, linking to established practices.
Although a part of mathematical morphology, the special
properties yield many simple, powerful and illuminating results
leading to a novel nonlinear multiresolution analysis with pulses
that may be as natural to vision as wavelet analysis is to
acoustics. Similar to median transforms, they have the advantages
of a supporting theory, computational simplicity, remarkable
consistency, full trend preservation, and a Parceval-type
identity.
Table of contents
Foreword.- Introduction.- Operators on Sequences.- Basic Rank
Selectors, Pulses and Impulses.- LULU-Smoothers, Signals and
Ambiguity.- LULU-Intervals and Similar Smoothers.- Smoothing and
Approximation with Signals.- Variation Reduction and Shape
Preservation.- Multiresolution Analysis of Sequences.- The
Discrete Pulse Transform.- Fair Comparison with Linear Smoothers.-
Interpretation and Future.- Bibliography.
Series: International Series of Numerical Mathematics, Vol.
151
2005, XVIII, 286 p., Hardcover
ISBN: 3-7643-7124-2
About this book
This volume contains contributions from international experts in
the fields of constructive approximation. This area has reached
out to encompass the computational and approximation-theoretical
aspects of various interesting fields in applied mathematics such
as (multivariate) approximation methods, quasi-interpolation,and
approximation by (orthogonal) polynomials, as well as the modern
mathematical developments in neuro fuzzy approximation, RBF-networks,
industrial and engineering applications.
Table of contents
Preface.- Articles by: Adell, Lekuona, Altomare, Rasa, Braess, de
Bruin, Mache, Catinas, Davydov, Sestini, Morandi, Igel, Wiegand,
Friedrichs, Meyer, Mazure, Mhaskar, Michels, Obermaier, Szwarc,
Platte, Kuzmin, Fredebeul, Turek, Rasa, Sablonniere, Szabados,
Toussaint, Weishui, Della Vecchia, Mastroianni and Vertesi