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Polytopes, Rings, and K-Theory
Springer 2009; US$ 109.99Examines interactions of polyhedral discrete geometry and algebra. This title presents several central results in all three areas of the exposition - discrete geometry, commutative algebra, and K-theory. The only prerequisite for the reader is a background in algebra, and the basics of polyhedral geometry have been included in Chapter 1. more...
Getting Acquainted with Fractals
De Gruyter 2007; US$ 133.00This well-written book provides a mathematically oriented introduction to fractals, with a focus upon three types of fractals: fractals of curves, attractors for iterative function systems in the plane, and Julia sets. The presentation is on an undergraduate level, with an ample presentation of the corresponding mathematical background, e.g., linear... more...
Algebraic and Geometric Methods in Statistics
Cambridge University Press 2009; US$ 110.00An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines. more...
Fat Manifolds and Linear Connections
World Scientific Publishing Company 2008; US$ 105.00In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear... more...
Determining Thresholds of Complete Synchronization, and Application
World Scientific Publishing Company 2009; US$ 88.00This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent years, the idea of synchronization has become an object of great interest in many areas of science, e.g., biology, communication or laser physics. Over the last decade, new types of synchronization have been identified... more...
The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167)
Princeton University Press 2008; US$ 55.00This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow. Jean-Michel Bismut and Gilles Lebeau establish the basic functional analytic... more...
Inequalities for Differential Forms
Springer 2009; US$ 94.99Presents a series of local and global estimates and inequalities for differential forms, in particular the ones that satisfy the A-harmonic equations. This work focuses on the Hardy-Littlewood, Poincare, Cacciooli, imbedded and reverse Holder inequalities. It is for researchers, instructors and graduate students. more...
Fractal Geometry and Stochastics IV
Springer 2010; US$ 119.99Over the years fractal geometry has established itself as a substantial mathematical theory in its own right. This book collects survey articles covering many of the developments, like Schramm-Loewner evolution, fractal scaling limits, exceptional sets for percolation, and heat kernels on fractals. more...
Graphs, Surfaces and Homology
Cambridge University Press 2010; US$ 42.00An elementary introduction to homology theory suitable for undergraduate courses or for self-study. more...
Dirichlet forms and Markov processes
Elsevier Science 2000; US$ 250.00This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for... more...









