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#### The Painlevé Handbook

Springer Netherlands 2008; US$ 103.99This book covers methods of building explicit solutions to nonlinear differential equations. Finding out whether the chances of success are high or low can be achieved with a powerful algorithm presented in detail called the Painlevé test. more...

#### Lecture Notes in Applied Differential Equations of Mathematical Physics

World Scientific Publishing Company 2008; US$ 87.00 US$ 79.17Functional analysis is a well-established powerful method in mathematical physics, especially those mathematical methods used in modern non-perturbative quantum field theory and statistical turbulence. This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic... more...

#### Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models

Cambridge University Press 2008; US$ 152.00Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions. more...

#### Quantum Spaces

Birkhäuser Basel 2007; US$ 95.62This book confirms noncommutative geometry as an increasingly useful tool for the description of intricate condensed matter phenomena. It describes the striking progress recently made in gathering all the interactions and fields of the standard model into a non-commutative geometry on a simple internal space. Coverage also details the very recent... more...

#### Noncommutative Geometry and Physics 2005

World Scientific Publishing Company 2007; US$ 154.00 US$ 140.14Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space-time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field.... more...

#### Noncommutative Geometry and Cayley-smooth Orders

CRC Press 2007; US$ 132.95Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the étale local structure of such orders as well as their central singularities and finite dimensional representations. After an introduction to partial desingularizations... more...

#### Lectures On Fuzzy And Fuzzy Susy Physics

World Scientific Publishing Company 2007; US$ 79.00 US$ 71.89Noncommutative geometry provides a powerful tool for regularizing quantum field theories in the form of fuzzy physics. Fuzzy physics maintains symmetries, has no fermion-doubling problem and represents topological features efficiently. These lecture notes provide a comprehensive introduction to the field. Starting with the construction of fuzzy spaces,... more...

#### Differential Geometry and Lie Groups for Physicists

Cambridge University Press 2006; US$ 72.00An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics. more...

#### Modern Differential Geometry in Gauge Theories

Birkhäuser Boston 2006; US$ 161.23Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented... more...

#### The Lévy Laplacian

Cambridge University Press 2005; US$ 35.00This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied. more...