Exterior Differential Systems and Equivalence Problems

1. Auflage. Softcover version of original hardcover Auflage 1992
ISBN: 978-90-481-4118-0
Verlag: Springer Netherlands

Buch, Englisch, Band 73, 196 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 330 g

Reihe: Mathematics and Its Applications

tEl moi, "0, si j'avait su comment en revenir, je One service mathematics has rendered the n 'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell 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 nonlinea- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other s- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One s- vice topology has rendered mathematical physics.'; 'One service logic has rendered computer science.'; 'One service category theory has rendered mathematics.'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Zielgruppe

Research

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

I. Exterior Algebra.- II. Elementary Differential Systems.- III. Cartan-Kaehler Theory.- IV. Involution and Prolongation.- V. Quasi-Linear Pfaffian Differential Systems.- VI. Higher Order G-structures.- VII. Embeddings of G-structures.