Series: Progress in Mathematical Physics , Vol. 54
2008, Approx. 200 p., Hardcover
ISBN: 978-3-7643-8798-3
Due: July 2008
The book contains articles from leading experts in different areas for which the Spin principle is the common denominator. Theoretical as well as practical topics are discussed, such as the relationship between Spin and Quantum Statistics. Furthermore, current developments of practical applications like Spintronic or medical imaging are presented.
Theoretical and mathematical physicists interested in the spin principle and quantum phyiscs
Electron
Poincare Seminar
Quantum Statistics
Spin
Series: Springer Texts in Statistics
2008, Approx. 760 p., Hardcover
ISBN: 978-0-387-78188-4
Due: August 2008
Remarkable advances in computation and data storage and the ready availability of huge data sets have been the keys to the growth of the new disciplines of data mining and machine learning, while the enormous success of the Human Genome Project has opened up the field of bioinformatics.
These exciting developments, which led to the introduction of many innovative statistical tools for high-dimensional data analysis, are described here in detail. The author takes a broad perspective; for the first time in a book on multivariate analysis, nonlinear methods are discussed in detail as well as linear methods. Techniques covered range from traditional multivariate methods, such as multiple regression, principal components, canonical variates, linear discriminant analysis, factor analysis, clustering, multidimensional scaling, and correspondence analysis, to the newer methods of density estimation, projection pursuit, neural networks, multivariate reduced-rank regression, nonlinear manifold learning, bagging, boosting, random forests, independent component analysis, support vector machines, and classification and regression trees. Another unique feature of this book is the discussion of database management systems.
This book is appropriate for advanced undergraduate students, graduate students, and researchers in statistics, computer science, artificial intelligence, psychology, cognitive sciences, business, medicine, bioinformatics, and engineering. Familiarity with multivariable calculus, linear algebra, and probability and statistics is required. The book presents a carefully-integrated mixture of theory and applications, and of classical and modern multivariate statistical techniques, including Bayesian methods. There are over 60 interesting data sets used as examples in the book, over 200 exercises, and many color illustrations and photographs.
Preface. * Introduction and preview. * Data and databases. * Random vectors and matrices. * Nonparametric density estimation. * Multiple regression and model assessment. * Multivariate regression. * Linear dimensionality reduction. * Linear discriminant analysis. * Recursive partitioning and decision trees. * Artificial nueral networks. * Support vector machines. * Cluster analysis. * Multidimensional scaling and distance geometry. * Committee machines. * Nonlinear dimensionality reduction. * Wavelets. * Correspondence analysis. * Notation and mathematical results. * References.
Series: Progress in Probability , Vol. 60
2008, Approx. 600 p., Hardcover
ISBN: 978-3-7643-8785-3
Due: August 2008
The intersection of probability and physics has been a rich and explosive area of growth in the past three decades, specifically covering such subjects as percolation theory, random walks in random environment, disordered systems, interacting particle systems and their many connections to statistical mechanics. The last decade was particularly fruitful for all these topics. This book reflects this development and marks also the first decade of the Brazilian School of Probability.
This volume consists of a collection of invited articles, written by some of the most distinguished probabilists, most of whom have been personally responsible for advances in the various subfields of probability.
Advanced undergraduate and PhD students, researchers in the fields of probability, statistics and statistical mechanics
Brownian motion
disordered system
equilibrium
percolation
random walk
Series: Operator Theory: Advances and Applications , Vol. 184
Subseries: Advances in Partial Differential Equations
2008, Approx. 450 p., Hardcover
ISBN: 978-3-7643-8813-3
Due: September 2008
This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequalities in analysis, and the theory of semigroups of linear operators and of global attractors.
Preface.- 1. Preliminaries.- 2. A 1D Nonlinear Viscous and Heat-conductive Real Gas.- 3. A 1D Polytropic Viscous and Heat-conductive Gas.- 4. A Polytropic Ideal Gas in Bounded Annular Domains.- 5. A Polytropic Viscous Gas with Cylinder Symmetry.- 6. 1D Nonlinear Thermoviscoelasticity.- 7. A Nonlinear 1D Thermoelastic Systems with Thermal Memory.- 8. 1D Thermoelastic Equations of Hyperbolic Type.- 9. Blow-up for the Cauchy Problem.- 10. Large-Time Behaviour of Energy in Multi-Dimensional Elasticity.- Index
2008, Approx. 505 p., Hardcover
ISBN: 978-0-387-77547-0
Due: February 2009
This second edition presents up-to-date material on the theory of weak convergance of convolution products of probability measures in semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. In addition, this unique work examines the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. This substantially revised text includes exercises at various levels at the end of each section and includes the best available proofs on the most important theorems used in a book, making it suitable for a one semester course on semigroups. In addition, it could also be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergence.
This book is ideally suited to graduate students in mathematics, and students in other fields, such as engineering and the sciences with an interest in probability. Students in statistics using advanced probability will also find this book useful.
Semigroups.- Probability Measures on Topological Semigroups.- Random Walks on Semigroups.- Random Matrices.- Index
Approx. 605 p. 10 illus., Softcover
ISBN: 978-0-387-77486-2
Due: July 2008
Universal Algebra, heralded as ". . . the standard reference in a field notorious for the lack of standardization . . .," has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science.
Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jonsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well-selected additional bibliography of over 1250 papers and books which makes this a fine work for students, instructors, and researchers in the field.
Table of Notation.- Chapter 0. Basic Concepts.- Chapter 1. Subalgebras and Homomorphisms.- Chapter 2. Partial Algebras.- Chapter 3. Contructions of Algebras.- Chapter 4. Free Algebras.- Chapter 5. Independence.- Chapter 6. Elments of Model Theory.- Chapter 7. Elementary Properties of Algebraic Constructions.- Chapter 8. Free S-Structures.- Appendix 1. General Survey.- Appendix 2. The Problems.- Appendix 3. Congruence Varieties.- Appendix 4. Equational Logic.- Appendix 5. Primality: the Influence of Boolean Algebras in Universal Algebra.- Appendix 6. Equational Compactness.- Appendix 7. The Independence Proof.- Bibliography.- Index.