A publication of the Theta Foundation.
2006; 274 pp; hardcover
ISBN-10: 973-85432-9-0
ISBN-13: 978-973-85432-9-4
The volume represents the proceedings of the 20th International
Conference on Operator Theory, held in Timisoara (Romania),
between June 30 and July 5, 2004. Besides a presentation of the
life and works of G. K. Pedersen, it contains twenty-one refereed
research papers written by leading experts in the field and by
young researchers. These cover a large variety of topics of
interest, including:
single operator algebras
C* algebras
von Neumann algebras
Hilbert and Banach modules
differential and integral operators
noncommutative probability
spectral theory.
A publication of the Theta Foundation. Distributed worldwide,
except in Romania, by the AMS.
Readership
Graduate students and research mathematicians interested in
analysis.
Table of Contents
D. Olesen and E. Stormer -- The life and works of Gert Kjargaard
Pedersen
H. Bercovici -- On Boolean convolutions
A. M. Bikchentaev -- Representation of elements of von Neumann
algebras in the form of finite sums of products of projections.
II
E. Boasso -- On Cartan joint spectra
J. Bracic -- Reflexivity of the space of module homomorphisms
M. R. Buneci -- C^ast-algebras associated to groupoids with
proper orbit space
G. Cassier and N. Suciu -- Analytic functions of a uniformly
stable p-contraction
R. Dumitru, C. Peligrad, and B. Visinescu -- Automorphisms inner
in the local multiplier algebra and Connes spectrum
D. E. Dutkay and G. Picioroaga -- The von Neumann algebra of the
canonical equivalence relation of the generalized Thompson group
S. H. Ferguson and R. Rochberg -- Description of certain quotient
Hilbert modules
A. Gomilko, I. Wrobel, and J. Zemanek -- Numerical ranges in a
strip
A. Khosravi and B. Khosravi -- Frames in tensor products of
Hilbert C^ast-modules
A. S. Kostenko -- Spectral analysis of some indefinite Sturm-Liouville
operators
V. G. Kravchenko, A. B. Lebre, and J. S. Rodriguez -- The kernel
of singular integral operators with a finite group of linear-fractional
shifts
R. Nicoara -- On the finiteness of the number of N-dimensional
Hopf C^ast-algebras
M. Popa -- A non-commutative analogue of Gaussian Hilbert spaces
D. Popovici -- Dilatable solutions for some operator moment
problems
F. Radulescu -- Combinatorial aspects of Connes's embedding
conjecture and asymptotic distribution of traces of products of
unitaries
A. Sandovici -- Canonical extensions of symmetric linear
relations
L. Suciu -- Ergodic properties and saturation for A-contractions
N. Suciu -- On the generalized Harnack domination for
contractions
L. Zielinski -- Semiclassical distributions of eigenvalues for
elliptic operators with Holder continuous coefficients, part II:
critical case
Fields Institute Communications, Volume: 49
2006; 177 pp; hardcover
ISBN-10: 0-8218-3725-7
ISBN-13: 978-0-8218-3725-2
Nonlinear dynamical systems and the formation of spatio-temporal
patterns play an important role in current research on partial
differential equations. This book contains articles on topics of
current interest in applications of dynamical systems theory to
problems of pattern formation in space and time. Topics covered
include aspects of lattice dynamical systems, convection in fluid
layers with large aspect ratios, mixed mode oscillations and
canards, bacterial remediation of waste, gyroscopic systems, data
clustering, and the second part of Hilbert's 16th problem. Most
of the book consists of expository survey material, and so can
serve as a source of convenient entry points to current research
topics in nonlinear dynamics and pattern formation. This volume
arose from a workshop held at the Fields Institute in December of
2003, honoring Professor William F. Langford's fundamental work
on the occasion of his sixtieth birthday.
Titles in this series are copublished with the Fields Institute
for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Readership
Graduate students and research mathematicians interested in
nonlinear dynamics and its applications to pattern formation.
Table of Contents
A publication of Bliss Studio Publications.
2006; 53 pp; softcover
ISBN-10: 0-9754915-1-2
ISBN-13: 978-0-9754915-1-5
Based on the 2001 expansion of the Cowles Mathematics Building on
the University of Utah campus, this book is a catalog and
commentary of that project. The book, like the mural it
describes, develops structural connections with the arts,
sciences, and culture while conveying the range and beauty of
mathematics.
Anna Campbell Bliss holds a master's degree in architecture from
Harvard University and was a student of Gyorgy Kepes at MIT. A
sucessful Utah based artist, her work is represented in the
collections of the Metropolitan Museum of Art in New York, the
Art Institute of Chicago and the Utah Museum of Fine Art.
A publication of Bliss Studio Publications. Distributed non-exclusively
worldwide by the American Mathematical Society.
Readership
General mathematical audience
Clay Mathematics Proceedings, Volume: 6
2006; 189 pp; softcover
ISBN-10: 0-8218-3846-6
ISBN-13: 978-0-8218-3846-4
In June 2000, the Clay Mathematics Institute organized an
Instructional Symposium on Noncommutative Geometry in conjunction
with the AMS-IMS-SIAM Joint Summer Research Conference. These
events were held at Mount Holyoke College in Massachusetts from
June 18 to 29, 2000. The Instructional Symposium consisted of
several series of expository lectures which were intended to
introduce key topics in noncommutative geometry to mathematicians
unfamiliar with the subject. Those expository lectures have been
edited and are reproduced in this volume.
The lectures of Rosenberg and Weinberger discuss various
applications of noncommutative geometry to problems in "ordinary"
geometry and topology. The lectures of Lagarias and Tretkoff
discuss the Riemann hypothesis and the possible application of
the methods of noncommutative geometry in number theory. Higson
gives an account of the "residue index theorem" of
Connes and Moscovici.
Noncommutative geometry is to an unusual extent the creation of a
single mathematician, Alain Connes. The present volume gives an
extended introduction to several aspects of Connes' work in this
fascinating area.
Readership
Graduate students and research mathematicians interested in
noncommutative geometry.
Table of Contents
J. Rosenberg -- A minicourse on applications of non-commutative
geometry to topology
S. S. Chang and S. Weinberger -- On Novikov-type conjectures
N. Higson -- The residue index theorem of Connes and Moscovici
J. C. Lagarias -- The Riemann hypothesis: Arithmetic and geometry
P. Tretkoff -- Noncommutative geometry and number theory
Courant Lecture Notes, Volume: 13
2006; 153 pp; softcover
ISBN-10: 0-8218-4232-3
ISBN-13: 978-0-8218-4232-4
This book provides a rapid overview of the basic methods and
concepts in mechanics for beginning Ph.D. students and advanced
undergraduates in applied mathematics or related fields. It is
based on a graduate course given in 2006-07 at the Courant
Institute of Mathematical Sciences. Among other topics, the book
introduces Newton's law, action principles, Hamilton-Jacobi
theory, geometric wave theory, analytical and numerical
statistical mechanics, discrete and continuous quantum mechanics,
and quantum path-integral methods.
The focus is on fundamental mathematical methods that provide
connections between seemingly unrelated subjects. An example is
Hamilton-Jacobi theory, which appears in the calculus of
variations, in Fermat's principle of classical mechanics, and in
the geometric theory of dispersive wavetrains. The material is
developed in a sequence of simple examples and the book can be
used in a one-semester class on classical, statistical, and
quantum mechanics. Some familiarity with differential equations
is required but otherwise the book is self-contained. In
particular, no previous knowledge of physics is assumed.
Readership
Advanced undergraduates, graduate students and research
mathematicians interested in mechanics, mathematical physics, and
applied probability.
Table of Contents
Classical mechanics of discrete systems
Wave mechanics
Statistical mechanics
Quantum mechanics
Bibliography
Index
CBMS Issues in Mathematics Education, Volume: 13
2006; 248 pp; softcover
ISBN-10: 0-8218-4243-9
ISBN-13: 978-0-8218-4243-0
The sixth volume of Research in Collegiate Mathematics Education
presents state-of-the-art research on understanding, teaching,
and learning mathematics at the postsecondary level. The articles
advance our understanding of collegiate mathematics education
while being readable by a wide audience of mathematicians
interested in issues affecting their own students. This is a
collection of useful and informative research regarding the ways
our students think about and learn mathematics.
The volume opens with studies on students' experiences with
calculus reform and on the effects of concept-based calculus
instruction. The next study uses technology and the van Hiele
framework to help students construct concept images of sequential
convergence. The volume continues with studies on developing and
assessing specific competencies in real analysis, on introductory
complex analysis, and on using geometry in teaching and learning
linear algebra. It closes with a study on the processes used in
proof construction and another on the transition to graduate
studies in mathematics.
Whether they are specialists in education or mathematicians
interested in finding out about the field, readers will obtain
new insights about teaching and learning and will take away ideas
that they can use.
Readership
Graduate students and research mathematicians interested in
mathematics education issues.
Table of Contents
J. R. Star and J. P. Smith III -- An image of calculus reform:
Students' experiences of Harvard calculus
K. K. Chappell -- Effects of concept-based instruction on
calculus students' acquisition of conceptual understanding and
procedural skill
M. A. Navarro and P. P. Carreras -- Constructing a concept image
of convergence of sequences in the van Hiele framework
N. Gronbak and C. Winslow -- Developing and assessing specific
competencies in a first course on real analysis
P. Danenhower -- Introductory complex analysis at two British
Columbia universities: The first week-complex numbers
G. Gueudet-Chartier -- Using geometry to teach and learn linear
algebra
K. Weber -- Investigating and teaching the processes used to
construct proofs
J. Duffin and A. Simpson -- The transition to independent
graduate studies in mathematics