Description
This volume consists of expanded versions of invited lectures
given at The Beemfest: Advances in Differential Geometry and
General Relativity (University of Missouri-Columbia) on the
occasion of Professor John K. Beem's retirement. The articles
address problems in differential geometry in general and in
particular, global Lorentzian geometry, Finsler geometry, causal
boundaries, Penrose's cosmic censorship hypothesis, the geometry
of differential operators with variable coefficients on
manifolds, and asymptotically de Sitter spacetimes satisfying
Einstein's equations with positive cosmological constant.
The book is suitable for graduate students and research
mathematicians interested in differential geometry.
Contents
P. E. Ehrlich and K. L. Easley -- A Beemian sampler: 1966-2002
P. E. Parker -- Geometry of bicharacteristics
L. Del Riego -- Making the right connection?
A. Krolak -- Cosmic censorship hypothesis
S. G. Harris -- Boundaries on spacetimes: An outline
G. J. Galloway -- Cosmological spacestimes with $\Lambda >0$
T. Dray -- General relativity and signature change
Details:
Series: Contemporary Mathematics, Volume: 359
Publication Year: 2004
ISBN: 0-8218-3539-4
Paging: 124 pp.
Binding: Softcover
Description
This volume consists of contributions by speakers at the AMS
Special Session on Combinatorial and Statistical Group Theory
held at New York University. Readers will find a variety of
contributions, including survey papers on applications of group
theory in cryptography, research papers on various aspects of
statistical group theory, and papers on more traditional
combinatorial group theory.
The book is suitable for graduate students and research
mathematicians interested in group theory and its applications to
cryptography.
Contents
P. Ackermann, V. grose Rebel, and G. Rosenberger -- On power- and
commutation transitive, power commutative, and restricted Gromov
groups
P. Dehornoy -- Braid-based cryptography
B. Fine, A. M. Gaglione, and D. Spellman -- Discriminating and
squarelike groups I: Axiomatics
R. Z. Goldstein -- The density of small words in a free group is
0
S. P. Humphries -- Braid groups and Aut(F$_2$) are not rigid
S. V. Ivanov and A. M. Storozhev -- On varieties of groups in
which all periodic groups are abelian
O. G. Kharlampovich, A. G. Myasnikov, V. N. Remeslennikov, and D.
E. Serbin -- Subgroups of fully residually free groups:
Algorithmic problems
D. V. Osin -- Weak hyperbolicity and free constructions
I. Rivin -- Some properties of the conjugacy class growth
function
E. C. Turner and C. F. Rocca -- Boundary test elements
L. Sabalka -- Geodesics in the braid group on three strands
L. M. Shneerson -- Remarks on the growth of inverse semigroups
V. Shpilrain -- Assessing security of some group based
cryptosystems
Details:
Series: Contemporary Mathematics, Volume: 360
Publication Year: 2004
ISBN: 0-8218-3444-4
Paging: 177 pp.
Binding: Softcover
352 pages 17 line diagrams 11 tables
Hardback | ISBN: 0-521-82605-5 | - available from November 2004
Paperback | ISBN: 0-521-53344-9 | - available from November 2004
Females consistently score lower than males on standardized tests
of mathematics ? yet no such differences exist in the classroom.
These differences are not trivial, nor are they insignificant.
Test scores help determine entrance to college and graduate
school and therefore, by extension, a person’s job and future
success. If females receive lower test scores then they also
receive fewer opportunities. Why does this discrepancy exist?
This book presents a series of papers that address these issues
by integrating the latest research findings and theories. Authors
such as Diane Halpern, Jacquelynne Eccles, Beth Casey, Ronald
Nuttal, James Byrnes, and Frank Pajares tackle these questions
from a variety of perspectives. Many different branches of
psychology are represented, including cognitive, social,
personality/self-oriented, and psychobiological. The editors then
present an integrative chapter that discusses the ideas presented
and other areas that the field should explore.
Contents
Preface; 1. Research on the women and mathematics issue: a
personal case history Susan Chipman; 2. The perseverative search
for sex differences in mathematic ability Paula Caplan and Jeremy
Caplan; 3. A psychobiosocial model: why females are sometimes
> and sometimes < males in math achievement Diane Halpern,
Jonathan Wai and Amanda Saw; 4. Gender differences in math:
cognitive processes in an expanded framework James Byrnes; 5.
Cognitive contributions to sex differences in math performance
James M. Royer and Laura M. Garofoli; 6. Spatial ability as a
mediator of gender differences on mathematics tests: a biological-environmental
framework M. Beth Casey, Ronald Nuttal and Elizabeth Pezaris; 7.
Examining gender-related differential item functioning using
insights from psychometric and multicontext theory Rob Ibarra; 8.
The gender-gap artifact: women’s underperformance in
quantitative domains through the lens of stereotype threat Paul
Davies and Steve Spencer; 9. ‘Math is hard!’ (Barbie, 1994):
responses of threat vs challenge mediated arousal of stereotypes
alleging intellectual inferiority Talia Ben Zee, Cristina M.
Carrasquillo, Alison M. L. Ching, Tattiya J. Kliengklom, Kristen
L. McDonald, Daniel C. Newhall, Gillian E. Patton, Tiffany D.
Stewart, Tonya Stoddard, Michael Inzlicht and Steve Fein; 10. The
role of ethnicity on the gender gap in mathematics Alyssa Walters
and Lisa Brown; 11. The gender gap in mathematics: merely a step
function Sophia Catsambis; 12. ‘I can, but I don’t want to’:
the impact of parents, interests, and activities on gender
differences in math Janis E. Jacobs, Pamela Davis-Kean, Martha
Bleeker, Jacquelynne S. Eccles and Oksana Malachuk; 13. Gender
effects on mathematics achievement: mediating role of state and
trait self-regulation Eunsook Hong, Harold O’Neil and David
Feldon; 14. Gender differences in mathematics self efficacy
beliefs Frank Pajares; 15. Integrative conclusion Ann Gallagher
and James Kaufman.
400 pages
Hardback | ISBN: 0-521-83181-4 | - available from November 2004
This book presents an expository account of six important topics
in Riemann-Finsler geometry suitable for in a special topics
course in graduate level differential geometry. These topics have
recently undergone significant development, but have not had a
detailed pedagogical treatment elsewhere. Each article will open
the door to an active area of geometrical research. Rademacher
gives a detailed account of his Sphere Theorem for non-reversible
Finsler metrics. Alvarez and Thompson present an accessible
discussion of the picture which emerges from their search for a
satisfactory notion of volume on Finsler manifolds. Wong studies
the geometry of holomorphic jet bundles, and finds that Finsler
metrics play an essential role. Sabau studies protein production
in cells from the Finslerian perspective of path spaces,
employing both a local stability analysis of the first order
system, and a KCC analysis of the related second order system.
Shen's article discusses Finsler metrics whose flag curvature
depends on the location and the direction of the flag poles, but
not on the remaining features of the flags. Bao and Robles focus
on Randers spaces of constant flag curvature or constant Ricci
curvature.
360 pages 40 line diagrams 1 table 25 exercises 40 figures
Paperback | ISBN: 0-521-54793-8 | -available from February 2005
This collection of articles from the Independent University of
Moscow is derived from the Globus seminars held there. They are
given by world authorities, from Russia and elsewhere, in various
areas of mathematics and are designed to introduce graduate
students to some of the most dynamic areas of mathematical
research. The seminars aim to be informal, wide-ranging and
forward-looking, getting across the ideas and concepts rather
than formal proofs, and this carries over to the articles here.
Topics covered range from computational complexity, algebraic
geometry, dynamics, through to number theory and quantum groups.
The volume as a whole is a fascinating and exciting overview of
contemporary mathematics.
Contents
1. The Independent University of Moscow and student sessions at
the IUM; 2. Mysterious mathematical trinities V. I. Arnold; 3.
The principle of topological economy in algebraic geometry V. I.
Arnold; 4. Rational curves, elliptic curves, and the Painleve
equation Yu. I. Manin; 5. The orbit method and finite groups A. A.
Kirillov; 6. On the development of the theory of dynamical
systems during the past quarter century D. V. Anosov; New or ‘renewed’
directions; ‘Named’ problems; Some other achievements; 7.
Foundations of computational complexity theory A. A Razborov; 8.
The Schrodinger equation and symplectic geometry S. P. Novikov; 9.
Rings and algebraic varieties Miles Reid; 10. Billiard table as a
playground for a mathematician A. B. Katok; 11. The Fibonacci
numbers and simplicity of 2127 minus 1 A. N. Rudakov; 12. On
problems of computational complexity Stephen Smale; 13. Values of
the -function Pierre Cartier; 14. Combinatorics of trees Pierre
Cartier; 15. What is an operad Pierre Cartier?; 16. The orbit
method beyond Lie groups A. A. Kirillov; Infinite-dimensional
groups; 17. The orbit method beyond Lie groups A. A. Kirillov;
Quantum groups; 18. Conformal mappings and the Ehitham equations
I. M. Krichever; 19. Projective differential geometry: old and
new V. Yu. Ovsienko; 20. Haken’s method of normal surfaces and
its applications to classification problem for 3-dimensional
manifolds - the life story of one theorem S. V. Matveev.
Contributors
V. I. Arnold, Yu. I. Manin, A. A. Kirillov, D. V. Anosov, A. A.
Razborov, S. P. Novikov, Miles Reid, A. B. Katok, A. N. Rudakov,
Stephen Smale, Pierre Cartier, A. A. Kirillov, I. M. Krichever, V.
Yu. Ovsienko, S. V. Matveev