2010; approx. 248 pp; softcover
ISBN-13: 978-0-8218-4979-8
Expected publication date is August 18, 2010.
This book illustrates connections between various courses taken by undergraduate mathematics majors. As such it can be used as a text for a capstone course. The chapters are essentially independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of such a course the graduating seniors should glimpse mathematics not as a series of independent courses but as something more like an integrated body of knowledge. The book has numerous exercises and examples so that the student has many opportunities to see the material illustrated and fleshed out.
Undergraduate and graduate students interested in all areas of mathematics.
Trisecting angles
Polyhedra
Hilbert spaces
The spectral theorem
Matrices and topology
Modules
Appendix
References
List of symbols
Subject index
Special Introductory Pricing for Individuals. This offer ends November 5th, 2010.
2010; approx. 223 pp; hardcover
ISBN-13: 978-0-8218-4969-9
Expected publication date is August 18, 2010.
How many patients will require admission to my hospital in two days? How widespread will influenza be in my community in two weeks? What will the changing demographics of our community do to affect demand for medical services in our region in two years? These and similar questions are the province of Modelling in Healthcare. This new volume, presented by the Complex Systems Modelling Group at Simon Fraser University in Canada, uses plain language, sophisticated mathematics and vivid examples to guide and instruct. Sage advice on the benefits and limitations of the modeling process and model predictions is generously distributed so that the reader comes away with an understanding not only of the process but also on the practical uses (and misuses!) of models. Perhaps the most important aspect of this book is that the content and the logic are readily understandable by modelers, administrators and clinicians alike. This volume will surely serve as their common and thus preferred reference for modeling in healthcare for many years.
--Timothy G. Buchman, Ph.D., M.D., FACS, FCCM
Modelling in Healthcare adds much-needed breadth to the curriculum, giving readers the introduction to simulation methods, network analysis, game theory, and other essential modeling techniques that are rarely touched upon by traditional statistics texts.
--Ben Klemens, Ph.D.
Mathematical and statistical modeling has tremendous potential for helping improve the quality and efficiency of health care delivery and as a tool for decision making by health care professionals. This book provides many relevant and successful applications of modeling in health care and can serve as an important resource and guide for those working in this exciting new field.
--Reinhard Laubenbacher, Ph.D.
Readership
Anyone interested in mathematics and healthcare.
Table of Contents
Modelling in healthcare
The whys, whats, and whens of modelling in healthcare
How to use this book
The modelling process
Data collection and statistical models
Issues of data
The basics
Predictions and responses
Evaluating detrimental behaviour
Adjusting risky behaviour
Model design and interpretation
Issues in mathematical modelling
Explaining irrational behaviour
Modelling optimal behaviour
Modelling social interaction
The future starts now
Viewing the system as a whole
Dealing with lines and capacity
Finding the "best" intervention
Computer programming packages useful in modelling
Bibliography
Index
University Lecture Series, Volume: 54
2010; 143 pp; softcover
ISBN-13: 978-0-8218-5229-3
Expected publication date is July 21, 2010.
Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, conformal dynamics, and geometric group theory.
This survey leads the reader from the definitions and basic theory through to active research applications in geometric function theory, Gromov hyperbolic geometry, and the dynamics of rational maps, amongst other areas. It reviews the theory of dimension in metric spaces and of deformations of metric spaces. It summarizes the basic tools for estimating conformal dimension and illustrates their application to concrete problems of independent interest. Numerous examples and proofs are provided.
Working from basic definitions through to current research areas, this book can be used as a guide for graduate students interested in this field, or as a helpful survey for experts. Background needed for a potential reader of the book consists of a working knowledge of real and complex analysis on the level of first- and second-year graduate courses.
Graduate students and research mathematicians interested in geometric function theory.
Background material
Conformal gauges and conformal dimension
Gromov hyperbolic groups and spaces and their boundaries
Lower bounds for conformal dimension
Sets and spaces of conformal dimension zero
Gromov-Hausdorff tangent spaces and conformal dimension
Ahlfors regular conformal dimension
Global quasiconformal dimension
Colloquium Publications, Volume: 58
2010; approx. 207 pp; hardcover
ISBN-13: 978-0-8218-4989-7
Expected publication date is August 26, 2010.
This book presents a treatment of the theory of L-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms, as well as definitive solutions to certain problems in analytic and algebraic number theory.
This book gives a detailed treatment of important parts of this theory, including a rather complete proof of Casselman-Shalika's formula for unramified Whittaker functions as well as a general treatment of the theory of intertwining operators. It also covers in some detail the global aspects of the method as well as some of its applications to group representations and harmonic analysis.
This book is addressed to graduate students and researchers who are interested in the Langlands program in automorphic forms and its connections with number theory.
Graduate students and research mathematicians interested in automorphic forms and L-functions, number theory, and representation theory.
Introduction
Reductive groups
Satake isomorphisms
Generic representations
Intertwining operators
Local coefficients
Eisenstein series
Fourier coefficients of Eisenstein series
Functional equations
Further properties of L-functions
Applications to functoriality
Appendix: Tables of Dynkin diagrams
Bibliography
Index
Contemporary Mathematics, Volume: 518
2010; approx. 383 pp; softcover
ISBN-13: 978-0-8218-4786-2
Expected publication date is August 8, 2010.
This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 13-17, 2009. It includes survey papers by all invited speakers as well as selected contributed papers.
Finite fields continue to grow in mathematical importance due to applications in many diverse areas. This volume contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.
Graduate students and research mathematicians interested in finite fields and applications.
C. D. Albuquerque, R. Palazzo, Jr., and E. B. Silva -- Construction of new toric quantum codes
H. Aly, R. Marzouk, and W. Meidl -- On the calculation of the linear complexity of periodic sequences
Y. Aubry, G. McGuire, and F. Rodier -- A few more functions that are not APN infinitely often
K. A. Browning, J. F. Dillon, M. T. McQuistan, and A. J. Wolfe -- An APN permutation in dimension six
L. Budaghyan and C. Carlet -- CCZ-equivalence of single and multi output Boolean functions
A. Canteaut and M. Naya-Plasencia -- Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions
I. M. Rubio and F. N. Castro -- Solvability of systems of polynomial equations with some prescribed monomials
M.-C. Chang -- Character sums in finite fields
P. Charpin and G. M. Kyureghyan -- Monomial functions with linear structure and permutation polynomials
S. D. Cohen -- Primitive elements on lines in extensions of finite fields
R. S. Coulter and P. Kosick -- Commutative semifields of order 243 and 3125
C. Dunand and R. Lercier -- Normal elliptic bases and torus-based cryptography
L. H. Gallardo and O. Rahavandrainy -- Unitary superperfect binary polynomials
J. von zur Gathen -- Shift-invariant polynomials and Ritt's second theorem
D. Gomez and A. Winterhof -- Waring's problem in finite fields with Dickson polynomials
S. Gurak -- Jacobi sums and irreducible polynomials with prescribed trace and restricted norm
J. J. He, D. Panario, and Q. Wang -- A family of binary sequences from interleaved construction and their cryptographic properties
M. Homma and S. J. Kim -- Sziklai's conjecture on the number of points of a plane curve over a finite field II
M.-D. Huang and A. K. Narayanan -- Folded algebraic-geometric codes from Galois extensions
M.-D. Huang and W. Raskind -- A multilinear generalization of the Tate pairing
J. Jedwab and K.-U. Schmidt -- The merit factor of binary sequence families constructed from m-sequences
N. Koblitz and A. Menezes -- Intractable problems in cryptography
W.-C. W. Li -- Modular curves and coding theory: A survey
G. L. Matthews and J. D. Peachey -- Minimal generating sets of Weierstrass semigroups of certain m-tuples on the norm-trace function field
G. McGuire and A. Zaytsev -- On the zeta functions of an optimal tower of function fields over mathbb{F}_4
H. Niederreiter -- The asymptotic theory of algebraic-geometry codes
V. Pepe, C. Rosing, and L. Storme -- A spectrum result on maximal partial ovoids of the generalized quadrangle mathcal{Q}(4,q),q odd
J. Wolfmann -- Cyclic codes aspects of bent functions