 About 743,000 results  books.google.com This book is equally essential as a course text, as a work of reference, or simply as a brilliant mathematical exercise. 

 books.google.com Of course, the study of EulerLagrange equations by means of exterior differential
forms and the method of equivalence is not new. In fact, much of the 19th century
material in this area is so naturally formulated in terms of differential forms (cf. 

 books.google.com The following section studies the relations between the method of differential
constraints and LieBacklund groups of ... of partial differential equations is then
reduced to the problem of the compatibility of a system of exterior differential
forms. 

 books.google.com Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced puremathematical expositions. 

 books.google.com Exterior forms of degree 1 become immediately available as elements of the dual
space of the tangent space. ... While nineteenthcentury mathematics was
primarily concerned with developing specific methods to solve specific equations,
it is ... 

 books.google.com methods are very natural and effective. However, in many other situations the use
of the exterior calculus, often combined with the method of moving frames of E.
Cartan, leads to decisive results in a way which is very diflicult with tensors alone
... 

 books.google.com Rather, exterior product or ADP of an rform and a pform yield an (r + p)form. An
rform u> is written in terms of differential dx' as: u = Lji'...irdxi' f\ f\dxir. (4.66) So,
rforms u are called differential forms. Though tensor methods are very natural ... 

 books.google.com Michiel Hazewinkel  1994  Preview In the study of submanifolds of the manifold M, Cartan's method of exterior forms
is usually applied in conjunction with the movingframe method (see, for example
, [4]). The method is named after E. Cartan, who, from 1899 onward, made ... 

 books.google.com This calculus of differential forms is the promised generalization of ordinary
vector calculus. ... tools of the calculus of differential forms are so efficient that we
now go to some lengths to cast problems into a form amenable to these methods.
22. 

 books.google.com 35 Differential Form Methods in the Theory of Variational Systems and
Lagrangian Field Theories ROBERT HERMANN* 53 Jordan Road, Brookline, MA
02146, U.S.A. (Received: 30 June 1987; revised: 7 March 1988) Abstract. This
paper will ... 

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