In this second English edition of Caratheodory's famous work
(originally published in German), the two volumes of the first
edition have been combined into one (with a combination of the two
indexes into a single index). There is a deep and fundamental
relationship between the differential equations that occur in the
Calculus of Variations and partial differential equations of the
first order: in particular, to each such partial differential
equation there correspond variational problems. This basic fact
forms the rationale for Caratheodory's masterpiece. Includes a
Guide to the Literature and an Index.
General
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