[PDF.23pu] Arithmetic Differential Equations (Mathematical Surveys and Monographs)
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Arithmetic Differential Equations (Mathematical Surveys and Monographs)
Alexandru Buium
[PDF.yh34] Arithmetic Differential Equations (Mathematical Surveys and Monographs)
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| #5538415 in Books | American Mathematical Society | 2005-09-20 | Original language:English | PDF # 1 | 10.25 x7.25 x1.00l,1.80 | File type: PDF | 310 pages | |
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"". The main application of th...
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