Share

Geometric Integration Theory

2008-12-15 Mathematics
Download Geometric Integration Theory PDF Online Free

Author :
Release : 2008-12-15
Genre : Mathematics
Kind : eBook
Book Rating : 795/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Integration Theory by : Steven G. Krantz

Download or read book Geometric Integration Theory written by Steven G. Krantz. This book was released on 2008-12-15. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.

Geometric Integration Theory

2015-12-08 Mathematics
Download Geometric Integration Theory PDF Online Free

Author :
Release : 2015-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 571/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Integration Theory by : Hassler Whitney

Download or read book Geometric Integration Theory written by Hassler Whitney. This book was released on 2015-12-08. Available in PDF, EPUB and Kindle. Book excerpt: A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Geometric Measure Theory

2014-11-25 Mathematics
Download Geometric Measure Theory PDF Online Free

Author :
Release : 2014-11-25
Genre : Mathematics
Kind : eBook
Book Rating : 108/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Measure Theory by : Herbert Federer

Download or read book Geometric Measure Theory written by Herbert Federer. This book was released on 2014-11-25. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)

Geometric Numerical Integration

2013-03-09 Mathematics
Download Geometric Numerical Integration PDF Online Free

Author :
Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 188/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Numerical Integration by : Ernst Hairer

Download or read book Geometric Numerical Integration written by Ernst Hairer. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.

Geometric Integration Theory on Supermanifolds

1991 Mathematics
Download Geometric Integration Theory on Supermanifolds PDF Online Free

Author :
Release : 1991
Genre : Mathematics
Kind : eBook
Book Rating : 993/5 ( reviews)

GET EBOOK


Book Synopsis Geometric Integration Theory on Supermanifolds by : T. Voronov

Download or read book Geometric Integration Theory on Supermanifolds written by T. Voronov. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt: The author presents the first detailed and original account of his theory of forms on supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new concepts. The paper develops the apparatus of supermanifold differential topology necessary for the integration theory. A key feature is the identification of a class of proper morphisms intimately connected with Berezin integration, which are of fundamental importance in various problems. The work also contains a condensed introduction to superanalysis and supermanifolds, free from algebraic formalism, which sets out afresh such challenging problems as the Berezin intgegral on a bounded domain.

You may also like...