Description

Book Synopsis
Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants and variational calculus.

Table of Contents
From symmetries of partial differential equations to Secondary Calculus Elements of differential calculus in commutative algebras Geometry of finite-order contact structures and the classical theory of symmetries of partial differential equations Geometry of infinitely prolonged differential equations and higher symmetries $\mathcal{C}$-spectral sequence and some applications Introduction to Secondary Calculus Bibliography Index.

Cohomological Analysis of Partial Differential

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      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/10/2001
      ISBN13: 9780821829226, 978-0821829226
      ISBN10: 082182922X
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      Description

      Book Synopsis
      Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes applications of Secondary Calculus ranging from algebraic geometry to field theory, classical and quantum, including areas such as characteristic classes, differential invariants and variational calculus.

      Table of Contents
      From symmetries of partial differential equations to Secondary Calculus Elements of differential calculus in commutative algebras Geometry of finite-order contact structures and the classical theory of symmetries of partial differential equations Geometry of infinitely prolonged differential equations and higher symmetries $\mathcal{C}$-spectral sequence and some applications Introduction to Secondary Calculus Bibliography Index.

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