Valery Alexeev and Viacheslav V. Nikulin
Del Pezzo and K3 surfaces
MSJ Memoirs Vol.15
The present volume is a self-contained exposition on the complete
classification of singular del Pezzo surfaces of index one or two.
The method of the classification used here depends on the
intriguing interplay between del Pezzo surfaces and K3 surfaces,
between geometry of exceptional divisors and the theory of
hyperbolic lattices.
The topics involved contain hot issues of research in algebraic
geometry, group theory and mathematical physics.
This book, written by two leading researchers of the subjects, is
not only a beautiful and accessible survey on del Pezzo surfaces
and K3 surfaces, but also an excellent introduction to the
general theory of Q-Fano varieties.
2006, 149p, ISBN:4-931469-34-5
edited by Michel Chipot (University of Zurich, Switzerland)
& Hirokazu Ninomiya (Ryukoku University, Japan)
RECENT ADVANCES ON ELLIPTIC AND PARABOLIC ISSUES
Proceedings of the 2004 Swiss-Japanese Seminar Zurich, Switzerland 6 -
10 December 2004
This volume is a collection of articles discussing the most
recent advances on various topics in partial differential
equations. Many important issues regarding evolution problems,
their asymptotic behavior and their qualitative properties are
addressed. The quality and completeness of the articles will make
this book a source of inspiration and references in the future.
Contents:
Steady Free Convection in a Bounded and Saturated Porous Medium (S
Akesbi et al.)
Quasilinear Parabolic Functional Evolution Equations (H Amann)
A Linear Parabolic Problem with Non-Dissipative Dynamical
Boundary Conditions (C Bandle & W Reichel)
Remarks on Some Class of Nonlocal Elliptic Problems (M Chipot)
On Some Definitions and Properties of Generalized Convex Sets
Arising in the Calculus of Variations (B Dacorogna et al.)
Note on the Asymptotic Behavior of Solutions to an Anisotropic
Crystalline Curvature Flow (C Hirota et al.)
A Reaction-Diffusion Approximation to a Cross-Diffusion System (M
Iida et al.)
Bifurcation Diagrams to an Elliptic Equation Involving the
Critical Sobolev Exponent with the Robin Condition (Y Kabeya)
Ginzburg?Landau Functional in a Thin Loop and Local Minimizers (S
Kosugi & Y Morita)
Singular Limit for Some Reaction Diffusion System (K Nakashima)
Rayleigh?Benard Convection in a Rectangular Domain (T Ogawa &
T Okuda)
Some Convergence Results for Elliptic Problems with Periodic Data
(Y Xie)
On Global Unbounded Solutions for a Semilinear Parabolic Equation
(E Yanagida)
Readership: Graduate students and researchers in partial
differential equations and nonlinear science.
300pp Pub. date: Mar 2006
ISBN 981-256-675-9
Leon Ehrenpreis
Fourier Analysis in Several Complex Variables
ISBN: 0486449750
Page Count: 528
Dimensions: 5 3/8 x 8 1/2
Suitable for advanced undergraduates and graduate students, this
text develops comparison theorems to establish the fundamentals
of Fourier analysis and to illustrate their applications to
partial differential equations. The three-part treatment begins
by establishing the quotient structure theorem or fundamental
principle of Fourier analysis. The second part focuses on
applications to partial differential equations, and the final
section explores functions and their role in Fourier
representation. Problems for further study appear throughout the
text. 1970 ed.
Jerry P. King
The Art of Mathematics
ISBN: 0486450201
Page Count: 320
Dimensions: 5 3/8 x 8 1/2
Clear, concise, and superbly written, this book reveals the
beauty at the heart of mathematics -- and it makes that beauty
accessible to everyone. Mathematics professor and poet Jerry P.
King writes with passion and wit of Euclid, Yeats, Poincare, and
Rembrandt, drawing examples from axioms, paintings, and
symphonies. The Art of Mathematics explores the difference
between real, rational, and complex numbers; analyzes the
intellectual underpinnings of pure and applied mathematics; and
illustrates the fundamental connection between aesthetics and
mathematics. King also sheds light on how mathematicians pursue
their research and how our educational system perpetuates the
imagined divisions between the "two cultures."
L. Kuipers
H. Niederreiter
Uniform Distribution of Sequences
ISBN: 0486450198
Page Count: 416
Dimensions: 5 3/8 x 8 1/2
The theory of uniform distribution began with Hermann Weyl's
celebrated paper of 1916 and ultimately provided common ground
for topics as diverse as number theory, probability theory,
functional analysis, and topological algebra. This book
summarizes the theory's development from its beginnings to the
mid-1970s, with comprehensive coverage of methods as well as
their underlying principles. A practical introduction for
students of number theory and analysis as well as a reference for
researchers in the field, it surveys uniform distribution in
compact spaces and in topological groups, in addition to
examinations of sequences of integers and polynomials. 1974 ed.
Sergey Dorofeev / Roy Morgan International
Peter Grant / Roy Morgan Research
Statistics for Real-Life Sample Surveys
Non-Simple-Random Samples and Weighted Data
Hardback (ISBN-13: 9780521858038 | ISBN-10: 0521858038)
Paperback (ISBN-13: 9780521674652 | ISBN-10: 0521674654)
available from June 2006
Samples used in social and commercial surveys, especially of the general population, are usually less random (often by design) than many people using them realise. Unless it is understood, this enon-randomnessf can compromise the conclusions drawn from the data. This book introduces the challenges posed by less-than-perfect samples, giving background knowledge and practical guidance for those who have to deal with them. It explains why samples are, and sometimes should be, non-random in the first place; how to assess the degree of non-randomness; when correction by weighting is appropriate and how to apply it; and how the statistical treatment of these samples must be adapted. Extended data examples show the techniques at work. This is a book for practising researchers. It is a reference for the methods and formulae needed to deal with commonly encountered situations and, above all, a source of realistic and implementable solutions.
* The only practical book to explain the uses, techniques and consequences of weighting survey data
* Bridges the gap between the ideal survey samples assumed at university and the more complex, less perfect survey samples encountered in real life
* Written by two practising market researchers who together have over 40 years of experience commissioning and supplying survey research
Contents
Preface; 1. Sampling methods; 2. Weighting; 3. Statistical effects; 4. Significance testing; 5. Measuring relationships; Appendices; Bibliography; Index.