Arithmetic Differential Equations

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For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.

Foundations of Arithmetic Differential Geometry

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The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the

Mathematics

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Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introducti

The Arithmetic of Hyperbolic 3-Manifolds

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Recently there has been considerable interest in developing techniques based on number theory to attack problems of 3-manifolds; Contains many examples and lots

Differential Algebraic Groups of Finite Dimension

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Differential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the