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  • Geometry of Pdes and Mechanicsby A. Prastaro

    World Scientific Publishing Company 1996; US$ 154.00

    This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry. This allows us to recognize the richness of the structure of PDEs. It presents, for the first time, a geometric theory of non-commutative... more...

  • Quantized Partial Differential Equationsby A Prástaro

    World Scientific Publishing Company 2004; US$ 134.00

    This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory. A geometric theory of supersymmetric quantum PDE's is also considered, in order to describe quantum supergravity. Covariant... more...

  • Geometry in Partial Differential Equationsby Agostino Prastaro; Thermistocles M. Rassias

    World Scientific Publishing Company 1994; US$ 255.00

    This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global... more...

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