Exterior Differential Systems / Mathematical Sciences Research Institute Publications Bd.18 (PDF)
(Sprache: Englisch)
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior...
sofort als Download lieferbar
eBook (pdf)
128.39 €
64 DeutschlandCard Punkte sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenloser tolino webreader
Produktdetails
Produktinformationen zu „Exterior Differential Systems / Mathematical Sciences Research Institute Publications Bd.18 (PDF)“
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system. In this case we are interested in integral manifolds on which certain coordinates remain independent. The corresponding notion in exterior differential systems is the independence condition: certain pfaffian forms remain linearly indepen dent. Partial differential equations and exterior differential systems with an independence condition are essentially the same object.
Bibliographische Angaben
- Autoren: Robert L. Bryant , S. S. Chern , Robert B. Gardner , Hubert L. Goldschmidt , P. A. Griffiths
- 2013, 1991, 475 Seiten, Englisch
- Verlag: Springer, New York
- ISBN-10: 1461397146
- ISBN-13: 9781461397144
- Erscheinungsdatum: 29.06.2013
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
eBook Informationen
- Dateiformat: PDF
- Größe: 57 MB
- Mit Kopierschutz
- Vorlesefunktion
Sprache:
Englisch
Kopierschutz
Dieses eBook können Sie uneingeschränkt auf allen Geräten der tolino Familie lesen. Zum Lesen auf sonstigen eReadern und am PC benötigen Sie eine Adobe ID.
Kommentar zu "Exterior Differential Systems / Mathematical Sciences Research Institute Publications Bd.18"
0 Gebrauchte Artikel zu „Exterior Differential Systems / Mathematical Sciences Research Institute Publications Bd.18“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Exterior Differential Systems / Mathematical Sciences Research Institute Publications Bd.18".
Kommentar verfassen