2008; 380 pp; softcover
ISBN-10: 0-8218-4348-6
ISBN-13: 978-0-8218-4348-2
Expected publication date is June 20, 2008.
How much math can you cover in five minutes? Quite a bit, if you have a
good guide. In this collection of one hundred short essays, Ehrhard Behrends
offers a tour through contemporary and everyday mathematics. The topics
range from pure mathematics to applications of mathematics to observations
about the mathematics that surrounds us in daily life. Here, we read about
the parable of grains of rice on a chessboard, the mathematics of the lottery,
music and mathematics, intriguing paradoxes, the concept of infinity, the
Poincare conjecture, quantum computers, and plenty more.
Anyone who regularly reads the science section of a newspaper or magazine
will find much to enjoy in Five-Minute Mathematics. Behrends makes very
few assumptions about his readers, other than general curiosity and some
familiarity with high school mathematics.
The vignettes originally appeared in the author's newspaper column. They
have been extensively revised and expanded, and provided with attractive
illustrations and photographs.
Undergraduates, graduate students, and research mathematicians interested in general topics in mathematics; the mathematics of everyday life.
Contemporary Mathematics, Volume: 456
2008; 230 pp; softcover
ISBN-10: 0-8218-4285-4
ISBN-13: 978-0-8218-4285-0
Expected publication date is June 14, 2008.
Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory, Diagram Algebras and related topics.
Graduate students and research mathematics interested in ring theory.
A. Facchini -- Injective modules, spectral categories, and applications
K. Joshi, R. K. Sharma, and J. B. Srivastava -- *-prime and strongly prime radicals of group algebras
A. V. Kelarev and D. S. Passman -- A description of incidence rings of group automata
V. Kodiyalam, T. Y. Lam, and R. G. Swan -- Determinantal ideals, Pfaffian ideals, and the principal minor theorem
V. Kodiyalam and V. S. Sunder -- Temperley-Lieb and non-crossing partition planar algebras
T. Y. Lam, A. Leroy, and A. Ozturk -- Wedderburn polynomials over division rings, II
P. Martin -- On diagram categories, representation theory and statistical mechanics
M. Parvathi and A. Tamilselvi -- Robinson-Schensted correspondence for the G-Brauer algebras
D. S. Passman -- Free subgroups in linear groups and group rings
M. Sahai -- On group algebras KG with U(KG)^{prime} nilpotent of class at most 2
V. Sahai and S. Yadav -- On models of certain p,q-algebra representations: The p,q-algebra U_{p,q}(su_2)
R. P. Sharma and V. S. Kapil -- Generic irreducibles of the Brauer algebras
K. Varadarajan -- Anti Hopfian and anti co-Hopfian modules
R. Wisbauer -- Hopf monads on categories
Contemporary Mathematics, Volume: 457
2008; 292 pp; softcover
ISBN-10: 0-8218-4317-6
ISBN-13: 978-0-8218-4317-8
Expected publication date is June 15, 2008.
Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.
The development of a broad spectrum of mathematical software products such as MathematicaR and MapleTM has allowed mathematicians of diverse backgrounds and interests to make the computer an essential part of their daily working environment.
This volume represents the AMS Special Session on Experimental Mathematics held in January 2007 in New Orleans. This gathering is part of an annual meeting of a growing number of scientists that have been labeled experimental mathematicians.
The guiding principles of the field, some of which are included in the introduction to these proceedings, are similar to those of laboratory experiments in the physical and biological sciences.
Graduate students and research mathematicians interested in experimental/emperical mathematics with application to various sciences.
Contemporary Mathematics, Volume: 458
2008; 420 pp; softcover
ISBN-10: 0-8218-4240-4
ISBN-13: 978-0-8218-4240-9
Expected publication date is June 28, 2008.
This volume contains the proceedings of a conference held at the Courant Institute in 2006 to celebrate the 60th birthday of Percy A. Deift. The program reflected the wide-ranging contributions of Professor Deift to analysis with emphasis on recent developments in Random Matrix Theory and integrable systems. The articles in this volume present a broad view on the state of the art in these fields. Topics on random matrices include the distributions and stochastic processes associated with local eigenvalue statistics, as well as their appearance in combinatorial models such as TASEP, last passage percolation and tilings. The contributions in integrable systems mostly deal with focusing NLS, the Camassa-Holm equation and the Toda lattice. A number of papers are devoted to techniques that are used in both fields. These techniques are related to orthogonal polynomials, operator determinants, special functions, Riemann-Hilbert problems, direct and inverse spectral theory. Of special interest is the article of Percy Deift in which he discusses some open problems of Random Matrix Theory and the theory of integrable systems.
Graduate students and research mathematicians interested in random matrix theory or integrable systems.
C. Tomei -- Percy Deift at integer times
A. Henrici and T. Kappeler -- Birkhoff normal form for the periodic toda lattice
H. Widom -- Asymptotics of a class of operator determinants with application to the cylindrical toda equations
V. Y. Novokshenov -- Connection formulas for the third Painleve transcendent in the complex plane
A. S. Fokas -- Nonlinear Fourier transforms and integrability in multidimensions
T. Grava and C. Klein -- Numerical study of a multiscale expansion of Korteweg-de Vries and Camassa-Holm equation
A. Boutet de Monvel and D. Shepelsky -- Long-time asymptotics of the Camassa-Holm equation on the line
A. Tovbis, S. Venakides, and X. Zhou -- Semiclassical focusing nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert problem approach
S. Kamvissis -- From stationary phase to steepest descent
P. D. Miller -- Riemann-Hilbert problems with lots of discrete spectrum
T. Kriecherbauer, A. B. J. Kuijlaars, K. D. T-R McLaughlin, and P. D. Miller -- Locating the zeros of partial sums of e^z with Riemann-Hilbert methods
J. S. Geronimo and P. Iliev -- Two variable deformations of the Chebyshev measure
A. Its and I. Krasovsky -- Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
L. Pastur -- Orthogonal polynomials, Jacobi matrices and random matrices
T. Claeys and A. B. J. Kuijlaars -- Universality in unitary random matrix ensembles when the soft edge meets the hard edge
D. S. Lubinsky -- A new approach to universality limits at the edge of the spectrum
P. J. Forrester -- On the gap probability generating function at the spectrum edge in the case of orthogonal symmetry
M. Adler and P. van Moerbeke -- An interpolation between Airy and Pearcey processes
P. L. Ferrari -- The universal Airy_1 and Airy_2 processes in the toally asymmetric simple exclusion process
K. Johansson -- On some special directed last-passage percolation models
E. Bachmat -- Discrete spacetime and its applications
F. Colomo and A. G. Pronko -- The arctic circle revisited
D. Gioev -- Moduli of continuity and average decay of Fourier transforms: Two-sided estimates
R. Hempel -- Eigenvalues of Schrodinger operators in gaps of the essential spectrum-An overview
J. C. Mattingly and T. M. Suidan -- Transition measures for the stochastic Burgers equation
P. Deift -- Some open problems in random matrix theory and the theory of integrable systems
Graduate Studies in Mathematics, Volume: 92
2008; approx. 337 pp; hardcover
ISBN-10: 0-8218-4344-3
ISBN-13: 978-0-8218-4344-4
Expected publication date is July 25, 2008.
The text begins with a review of group actions and Sylow theory. It includes
semidirect products, the Schur-Zassenhaus theorem, the theory of commutators,
coprime actions on groups, transfer theory, Frobenius groups, primitive
and multiply transitive permutation groups, the simplicity of the PSL groups,
the generalized Fitting subgroup and also Thompson's J-subgroup and his
normal p-complement theorem.
Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the "principal ideal theorem" of transfer theory and many smaller results that are not very well known.
Proofs often contain original ideas, and they are given in complete detail. In many cases they are simpler than can be found elsewhere. The book is largely based on the author's lectures, and consequently, the style is friendly and somewhat informal. Finally, the book includes a large collection of problems at disparate levels of difficulty. These should enable students to practice group theory and not just read about it.
Martin Isaacs is professor of mathematics at the University of Wisconsin, Madison. Over the years, he has received many teaching awards and is well-known for his inspiring teaching and lecturing. He received the University of Wisconsin Distinguished Teaching Award in 1985, the Benjamin Smith Reynolds Teaching Award in 1989, and the Wisconsin Section MAA Teaching Award in 1993 to name only a few. He was also honored by being the selected MAA Polya Lecturer in 2003-2005.
Graduate students interested in group theory.
Sylow theory
Subnormality
Split extensions
Commutators
Transfer
Frobenius actions
The Thompson subgroup
Permutation groups
More on subnormality
More transfer theory
The basics
Index
Contemporary Mathematics,Volume: 459
2008; approx. 257 pp; softcover
ISBN-10: 0-8218-4497-0
ISBN-13: 978-0-8218-4497-7
Expected publication date is July 5, 2008.
This book offers a selection of papers based on talks at the Ninth International Workshop on Real and Complex Singularities, a series of biennial workshops organized by the Singularity Theory group at Sao Carlos, S.P., Brazil. The papers deal with all the different topics in singularity theory and its applications, from pure singularity theory related to commutative algebra and algebraic geometry to those topics associated with various aspects of geometry to homotopy theory.
Among the topics on pure singularity theory discussed are invariants of singularities, integral closure and equisingularity, classification theory, contact structures and vector fields, and Thom polynomials. Geometric aspects deal with relations of singularity theory with topology, differential geometry and physics. Here topics discussed include the index of quadratic differential forms, obstructions in fundamental groups of plane curve complements, conjugate vectors of immersed manifolds, exotic moduli of Goursat distributions in codimension three, cobordisms of fold maps, etc. The book concludes with notes from the course on the residue theoretical approach to intersection theory.
Graduate students and research mathematicians interested in singularity theory and applications to dynamical systems, physics, and geometry.
D. Dreibelbis -- Conjugate vectors of immersed manifolds
T. Gaffney -- Invariants of D(q,p) singularities
T. Gaffney -- Nilpotents, integral closure and equisingularity conditions
K. Houston -- Singularities in generic one-parameter complex analytic families of maps
G. Ishikawa -- Global classification of singular curves on the symplectic plane
V. H. Jorge Perez -- Counting isolated singularities of a stable perturbation of a finitely mathcal{A}-determined map-germ mathbb{C}^n,0)to(mathbb{C}^p,0) with n<p
V. H. Jorge Perez and A. J. Miranda -- Milnor numbers and equisingularity of map germs from mathbb{C}^{n+3} to mathbb{C}^3
B. Kalmar -- Cobordism invariants of fold maps
C. Leidy and L. Maxim -- Obstructions on fundamental groups of plane curve complements
P. Mormul -- Exotic moduli of Goursat distributions exist already in codimension three
A. A. du Plessis and C. T. C. Wall -- Hypersurfaces with isolated singularities with symmetry
P. Pragacz -- Thom polynomials and Schur functions: Towards the singularities A_i(-)
L. S. Challapa -- Index of quadratic differential forms
J. Seade -- Remarks on contact structures and vector fields on isolated complete intersection singularities
T. Suwa -- Residue theoretical approach to intersection theory