In this chapter we will set up some notations and conventions in exterior algebra, give a description of the basic topic of the book, and introduce the language of jets which allows easy passage between partial differential equations and exterior differential systems. In particular we establish some basic results in exterior algebra Theorems 1.3, 1.5, and 1.7 which will be used in Chapter II.
KeywordsPartial Differential Equation Integral Manifold Differentiable Manifold Exterior Algebra Differential Ideal
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