Methods of Geometry Theory Partial Differential Equations
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Book Overview Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected...
Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena.
In spite of a huge number of insights derived from a variety of scientific fields in these five hundred years of the theory of differential equations, and its
extensive developments in these one hundred years, several principles that ensure these successes are discovered very recently.
This monograph focuses on one of them: cancellation of singularities derived from interactions of multiple species, which is described by the language of geometry, in particular, that of global analysis.
Five objects of inquiry, scattered across different disciplines, are selected in this monograph: evolution of geometric quantities, models of multi-species in biology, interface vanishing of d - δ systems, the fundamental equation of electro-magnetic theory, and free boundaries arising in engineering.
The relaxation of internal tensions in these systems, however, is described commonly by differential forms, and the reader will be convinced of further applications of this principle to other areas.
Book Details Format: Hardcover | Pages: 403 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811287899
FormatHardcover
Pages403
LanguageEnglish
ISBN9811287899
EAN9789811287893
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.59 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.94 Inches
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