Product Description: This monograph contains exciting original mathematics that will inspire new directions of research in algebraic geometry. Developed here is an arithmetic analog of the theory of ordinary differential equations, where functions are replaced by integer numbers, the derivative operator is replaced by a ""Fermat quotient operator"", and differential equations (viewed as functions on jet spaces) are replaced by ""arithmetic differential equations""...read more

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Product Description: Differential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the same way as algebraic groups are groups defined by algebraic equations...read more

Product Description: Book by Buium, Alexandru