How Long to Read Exterior Differential Systems

How Long Does it Take to Read Exterior Differential Systems?

It takes the average reader 8 hours and 8 minutes to read Exterior Differential Systems by Robert L. Bryant

Assuming a reading speed of 250 words per minute. Learn more

Description

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.

How long is Exterior Differential Systems?

Exterior Differential Systems by Robert L. Bryant is 483 pages long, and a total of 122,199 words.

This makes it 163% the length of the average book. It also has 149% more words than the average book.

How Long Does it Take to Read Exterior Differential Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 11 hours and 7 minutes to read Exterior Differential Systems aloud.

What Reading Level is Exterior Differential Systems?

Exterior Differential Systems is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Exterior Differential Systems?

Exterior Differential Systems by Robert L. Bryant is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Exterior Differential Systems by Robert L. Bryant on Amazon click the button below.