ISBN: 978-0-8218-4783-1
Series, Volume: Contemporary Mathematics, Volume 520
Bibliographic Information:
Published: 29 August 2010; Copyright Year: 2010; Pages: 240; Softcover
Graduate students and research mathematicians interested in computational aspects of probability,
combinatorics, and enumeration.
This volume contains the proceedings of the AMS Special Sessions on Algorithmic Probability
and Combinatorics held at DePaul University on October 5-6, 2007 and at the University of British
Columbia on October 4-5, 2008.
This volume collects cutting-edge research and expository on algorithmic probability and combinatorics. It
includes contributions by well-established experts and younger researchers who use generating functions,
algebraic and probabilistic methods as well as asymptotic analysis on a daily basis. Walks in the quarterplane
and random walks (quantum, rotor and self-avoiding), permutation tableaux, and random permutations
are considered. In addition, articles in the volume present a variety of saddle-point and geometric
methods for the asymptotic analysis of the coefficients of single- and multi-variable generating functions
associated with combinatorial objects and discrete random structures. The volume should appeal to pure
and applied mathematicians, as well as mathematical physicists; in particular, anyone interested in computational
aspects of probability, combinatorics and enumeration. Furthermore, the expository or partly
expository papers included in this volume should serve as an entry point to this literature not only to
experts in other areas, but also to graduate students.
M. Bousquet-Melou and M. Mishna -- Walks with small steps in the quarter plane
A. Bressler, T. Greenwood, R. Pemantle, and M. Petkov?ek -- Quantum random walk on the integer lattice: Examples and phenomena
T. DeVries -- A case study in bivariate singularity analysis
P. Hitczenko and S. Janson -- Asymptotic normality of statistics on permutation tableaux
A. E. Holroyd and J. Propp -- Rotor walks and Markov chains
E. J. J. van Rensburg -- Approximate enumeration of self-avoiding walks
I. Jensen -- Fuchsian differential equations from modular arithmetic
N. Madras and H. Liu -- Random pattern-avoiding permutations
R. Pemantle -- Analytic combinatorics in d variables: An overview
R. Pemantle and M. C. Wilson -- Asymptotic expansions of oscillatory integrals with complex phase
ISBN: 978-0-8218-4955-2
Series: Contemporary Mathematics, Volume 521
Bibliographic Information: Published: 12 September 2010; Copyright Year:
2010; Pages: 166; Softcover
Graduate students and research mathematicians interested in arithmetic, geometry, and applications
to coding and cryptography.
This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from
March 30 to April 3, 2009, as well as the first Geocrypt conference, held
in Point-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European
Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography,
held in Marseille, France from March 25 to 29, 2009.
The articles contained in this volume come from three related symposia
organized by the group Arithmetique et Theorie de l’Information in Marseille.
The topics cover arithmetic properties of curves and higher dimensional
varieties with applications to codes and cryptography.
Y. Aubry and F. Rodier -- Differentially 4-uniform functions
J. Berthomieu, P. Hivert, and H. Mourtada -- Computing Hironaka's invariants: Ridge and directrix
W. Castryck and J. Voight -- Nondegenerate curves of low genus over small finite fields
A. Venelli and F. Dassance -- Faster side-channel resistant elliptic curve scalar multiplication
E. Ferard and F. Rodier -- Non linearite des fonctions booleennes donnees par des polynomes de degre binaire 3 definies sur mathbb{F}_{2^m} avec m pair
A. Garcia and H. Stichtenoth -- A note on a maximal curve
D. Gruenewald -- Computing Humbert surfaces and applications
E. Nart and C. Ritzenthaler -- Genus 3 curves with many involutions and application to maximal curves in characteristic 2
A. Rigato -- Uniqueness of low genus optimal curves over mathbb{F}_2
A. Silverberg -- Group order formulas for reductions of CM elliptic curves
B. Smith -- Families of explicit isogenies of hyperelliptic Jacobians
X. T. i Ventosa and G. Wiese -- Computing congruences of modular forms and Galois representations modulo prime powers
ISBN: 978-0-8218-4384-0
Series: DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, Volume 75
Bibliographic Information: Published: 9 September 2010; Copyright Year: 2010; Pages: approximately 278; Hardcover
Graduate students and research mathematicians interested in modeling of development and spread of infectious diseases.
This volume stems from two DIMACS activities, the U.S.?Africa Advanced
Study Institute and the DIMACS Workshop, both on Mathematical Modeling
of Infectious Diseases in Africa, held in South Africa in the summer of
2007. It contains both tutorial papers and research papers.
Students and researchers should find the papers on modeling and analyzing
certain diseases currently affecting Africa very informative. In particular,
they can learn basic principles of disease modeling and stabilityfrom the
tutorial papers where continuous and discrete time models, optimal control,
and stochastic features are introduced.
S. Shrestha and J. O. Lloyd-Smith -- Introduction to mathematical modeling of infectious diseases
E. M. Lungu, M. Kgosimore, and F. Nyabadza -- Tools for mathematical epidemiology
R. M. Neilan and S. Lenhart -- An introduction to optimal control with an application in disease modeling
A.-A. Yakubu -- Introduction to discrete-time epidemic models
W. Ding and S. Lenhart -- Introduction to optimal control for discrete time models with an application to disease modeling
J. Dushoff -- Incorporating stochasticity in simple models of disease spread
M. S. Sanchez, J. O. Lloyd-Smith, B. G. Williams, and W. M. Getz -- Using
mathematical models to monitor and evaluate the impact of public health
interventions on epidemics: The case of the TB/HIV co-pandemic in Africa
S. D. Hove-Musekwa, V. Runyowa, and Z. Mukandavire -- Modelling the epidemiological
and economic impact of HIV/AIDS with particular reference to Zimbabwe
O. Sharomi and A. B. Gumel -- Mathematical analysis of HIV treatment model with variable viral load and infection stages
F. S. Roberts -- Greedy algorithms in economic epidemiology
ISBN: 978-0-8218-4845-6
Series: Fields Institute Communications, Volume 57
Published: 18 August 2010; Copyright Year: 2010; Pages: approximately 139; Hardcover
Graduate students and research mathematicians interested in mathematical biology and medicine.
In the 21st century, the interdisciplinary field of mathematical biology
and medicine has firmly taken center stage as one of the major themes of
modern applied mathematics, with strong links to the empirical biomedical
sciences. New Perspectives in Mathematical Biology provides an overview
of the distinct variety and diversity of current research in the field.
In every chapter of this book, which covers themes ranging from cancer
modeling to infectious diseases to orthopaedics and musculoskeletal tissue
mechanics, there is clear evidence of the strong connections and interactions
of mathematics with the biological and biomedical sciences that have spawned
new models and novel insights.
This book is loosely based on the plenary lectures delivered by some of
the leading authorities on these subjects at the Society for Mathematical
Biology (SMB) Conference that was held in Toronto in 2008 and will be of
interest to graduate students, postdoctoral fellows, and researchers currently
engaged in this field, bringing the reader to the forefront of current
research.
H. Levine, W. F. Loomis, and W.-J. Rappel -- Eukaryotic chemotaxis and its limitations due to stochastic sensing
T. W. Secomb, M. W. Dewhirst, and A. R. Pries -- Growth and structural adaptation of blood vessels in normal and tumor tissues
N. L. Komarova -- Modeling approaches to studying stem cells in cancer
M. A. Lewis, M. Krkosek, and M. Wonham -- Dynamics of emerging wildlife disease
Y. Zhou and H. Cao -- Discrete tuberculosis models and their application
M. L. K. Tate, T. Falls, S. Mishra, and R. Atit -- Engineering an ecosystem: Taking cues from nature's paradigm to build tissue in the lab and the body
ISBN: 978-0-8218-5234-7
Series: History of Mathematics, Volume 37
Published: 3 October 2010; Copyright Year: 2010; Pages: approximately 241; Softcover
Undergraduates, graduate students, and research mathematicians interested in topology and the history of topology.
The papers in this book chronicle Henri Poincare’s journey in algebraic
topology between 1892 and 1904, from his discovery of the fundamental group
to his formulation of the Poincare conjecture. For the first time in English
translation, one can follow every step (and occasional stumble) along the
way, with the help of translator John Stillwell’s introduction and editorial
comments.
Now that the Poincare conjecture has finally been proved, by Grigory Perelman,
it seems timely to collect the papers that form the background to this
famous conjecture. Poincare’s papers are in fact the first draft of algebraic
topology, introducing its main subject matter (manifolds) and basic concepts
(homotopy and homology). All mathematicians interested in topology and
its history will enjoy this book.
Translator's introduction
On Analysis Situs
Analysis Situs
Supplement to Analysis Situs
Second supplement to Analysis Situs
On certain algebraic surfaces: Third supplement to Analysis Situs
Cycles on algebraic surfaces: Fourth supplement to Analysis Situs
Fifth supplement to Analysis Situs
Index
These famous papers, with their characteristic mixture of deep insight
and inevitable confusion, are here presented complete and in English for
the first time, with a commentary by their translator, John Stillwell,
that guides the reader into the heart of the subject. One of the finest
works of one of the great mathematicians is now available anew for students
and experts alike.
-Jeremy Gray
The AMS and John Stillwell have made an important contribution to the mathematics literature in
this translation of Poincare. For many of us, these great papers on the
foundations of topology are given greater clarity in English. Moreover,
reading Poincare here illustrates the ultimate in research by successive
approximations (akin to my own way of mathematical thinking).
-Stephen Smale