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#### Modern Differential Geometry in Gauge Theories

Springer 2006; US$ 189.00Aimed at undergraduates, graduate students, mathematicians, and physicists, this work offers a differential geometry approach to such physical theories as gauge theory. Sheaf theory and sheaf cohomology explain the machinery of classical differential geometry. Together they present Maxwell fields, Yang-Mills fields, and general relativity. more...

#### Lectures On Fuzzy And Fuzzy Susy Physics

World Scientific Publishing Company 2007; US$ 128.00Noncommutative 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...

#### Quantum Spaces

Springer 2007; US$ 129.00This book starts with an introduction by V. Pasquier on the usefulness of non-commutative geometry, especially in the condensed matter context of the Hall effect. This theme is further developed by A. Polychronakos, who together with L. Susskind introduced the concept of non-commutative fluids. Jean-Michel Maillet compares the experimental results... more...

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

Cambridge University Press 2008; US$ 144.00Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions. more...

#### Noncommutative Geometry and Cayley-smooth Orders

Taylor and Francis 2007; US$ 125.95Noncommutative 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...

#### The Painlevé Handbook

Springer 2008; US$ 129.00Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions... more...

#### Modern Differential Geometry in Gauge Theories

Springer 2009; US$ 119.00A monograph that applies a sheaf-theoretic approach to such physical theories as gauge theory. It focuses on Maxwell fields and offers a sheaf-theoretic approach to Yang-Mills fields, discussing cohomological classification of Yang-Mills fields; and the geometry of Yang-Mills A-connections and moduli space of a vector sheaf. more...

#### Jet Single-Time Lagrange Geometry and Its Applications

Wiley 2011; US$ 101.95Develops the theory of jet single-time Lagrange geometry and presents modern-day applications Jet Single-Time Lagrange Geometry and Its Applications guides readers through the advantages of jet single-time Lagrange geometry for geometrical modeling. With comprehensive chapters that outline topics ranging in complexity from basic to advanced, the... more...

#### Einstein in Matrix Form

Springer 2013; US$ 89.95This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without too much new mathematics. The fundamental equations of Einstein's theory of Special and General Relativity are derived using... more...