The Method of Newton’s Polyhedron in the Theory of Partial Differential Equations

by S.G. Gindikin

One service mathematics has rendered the 'Et moi, .. ., si j'avait su comment cn rcvenir, human race. It has put common sense back. je n'y serais point aile.' where it bdongs, on the topmost shelf neAt Jules Verne to the dusty canister labelled 'discarded non· sense'. The series is divergent; therefore we may be Eric T. Bdl able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. :; 'One service category theory has rendered mathematics .. .'. All a,rguably true. And all statements obtainable this way form part of the raison d'etre of this series.

276 pages, Hardcover

First published November 30, 1992

About the author

Simon Grigorevich Gindikin (Семён Григорьевич Гиндикин), born 7 December 1937 in Moscow, Russian SFSR, is a mathematician at Rutgers University who introduced the Gindikin–Karpelevich formula for the Harish-Chandra c-function.