In this famous work, a distinguished Russian mathematical scholar presents an innovative approach to classical boundary value problems — one that may be used by mathematicians as well as by theoreticians in mechanics. The approach is based on a number of geometric properties of conformal and quasi-conformal mappings. It employs the general basic scheme for the solution of variational problems first suggested by Hilbert and developed by Tonnelli. The method lies on the boundary between the classical methods of analysis, with their concrete estimates and approximate formulae, and the methods of the theory of functions of a real variable with their special character and general theoretical quantitative aspects.
The first two chapters cover variational principles of the theory of conformal mapping and behavior of a conformal transformation on the boundary. Succeeding chapters address hydrodynamic applications and quasi-conformal mappings, as well as linear systems and the simplest classes of non-linear systems.
Mathematicians will find the method of the proof of the existence and uniqueness theorem of special interest. Theoreticians in mechanics will consider the approximate formulae for conformal and quasi-conformal mappings highly useful in solving many concrete problems of the mechanics of continuous media. This classic work is also a valuable resource for researchers in the fields of mathematics and physics.

About the Author:

M. A. Lavrent'ev (1900–80) was a prominent Soviet mathematician, associated with Moscow State University and the Steklov Institute of Mathematics.

"About this title" may belong to another edition of this title.

Store Description

Sutton Books is an ABE 'Heritage Bookseller,' and a member of IOBA, trading online almost exclusively since 1995. The proprietors travel extensively and have bases both in the USA and the UK. Our specialty is books in religion and theology, but we stock all academic subject areas and seek to serve the academic community with books of scholarly interest and usefulness.

Visit Seller's Storefront

Association Member

Members of these associations are committed to maintaining the highest standards. They vouch for the authenticity of all items offered for sale. They provide expert and detailed descriptions, disclose all significant defects and/or restorations, provide clear and accurate pricing, and operate with fairness and honesty during the purchase experience.

Seller's business information

Sutton Books
338 Main Street, Norwich, VT, 05055, U.S.A.

Terms of Sale:

All books offered are in very good to excellent condition, unless otherwise
stated, with defects noted according to the usual conventions. Books
which are not thought to conform to the description offered by Sutton
Books or which have been damaged in transit may be returned for full
refund. Prices shown are in US dollars and US purchasers may pay
check or money order. Purchasers in Britain may pay with sterling
cheques. We also take VISA, Mastercard, American Express, and PayPal.
Vermont residen...

More Information

Shipping Terms:

Shipping and handling by media mail is $4.50; Priority Mail shipping and handling is $6.00. Multiple orders shipped for the rate of single. International Priority Mail is $26.00. Tracking information is included free on orders. We ship internationally as well, and do our very best to ship within 24 hours of confirmation of order.

Payment Methods
accepted by seller

Check Money Order Cash PayPal

Add to Wants

Items related to Variational Methods for Boundary Value Problems: for...

Variational Methods for Boundary Value Problems: for Systems of Elliptic Equations

LAVRENT'EV, M. A.

New - Hardcover

Seller's business information