Variational Methods For Boundary Value Problems: For Systems Of Elliptic Equations (Phoenix Edition) Download Free (EPUB, PDF)
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.
Series: Phoenix Edition
Hardcover: 160 pages
Publisher: Dover Publications; Reprint edition (February 9, 2012)
Language: English
ISBN-10: 0486450783
ISBN-13: 978-0486450780
Product Dimensions: 8.9 x 6 x 0.7 inches
Shipping Weight: 11.2 ounces
Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
Best Sellers Rank: #3,026,198 in Books (See Top 100 in Books) #100 in Books > Science & Math > Mathematics > Transformations #1010 in Books > Science & Math > Mathematics > Pure Mathematics > Number Theory #1537 in Books > Science & Math > Mathematics > Applied > Differential Equations
What can I say? This book is just the cream of the crop when it comes to boundry value problems for elipictic equations! No other books even come close! The diagram on the cover is just one of MANY that delve deep into the oasis of info-tainment that is the world of elliptic equations and allow you to visualize the many subtly intriging nuances and fiendishly clever intricicies of the subject! I've read many, many books on variational methods for boundry value problems for systems of elliptic equations, even the now famous "Variational Methods for Boundary Value Problems for Systems of Elliptic Equations And You: A Exploration of How the Exciting World of Variational Methods for Boundary Value Problems for Systems of Elliptic Equations Affects Your Every Day Life" By Dr. Ben Suerhamahuerastedt and it can't even come close to the level of intelec-fun-ual content in this super-tastic volume of mathimatical lore. It all brings me back to my days when I used to study Variational Methods for Boundary Value Problems for Systems of Elliptic Equations as a young lad in the snowy villas of Switzerland. This volume is simply the most info-joy-mational work in the whole spectrum of books relating to Variational Methods for Boundary Value Problems for Systems of Elliptic Equations. Top notch! Another coup in the world of mathi-pleasure-matical books by M. A. Lavrentev, Mikhail Alekseevich Lavrent'ev. A must have for every home!
Variational Methods for Boundary Value Problems: for Systems of Elliptic Equations (Phoenix Edition) Hilbert Space Methods in Partial Differential Equations (Dover Books on Mathematics) Phoenix Art Glass: An Identification and Value Guide (Schiffer Book for Collectors) No Boundary: Eastern and Western Approaches to Personal Growth Boundary-Layer Theory Paddling the Boundary Waters and Voyageurs National Park (Regional Paddling Series) Boundary Waters Canoe Camping, 2nd (Regional Paddling Series) HVAC Equations, Data, and Rules of Thumb, Third Edition Differential Equations Computing and Modeling (4th Edition) Stability Theory of Differential Equations (Dover Books on Mathematics) How to Memorize Numbers, Equations, & Simple Arithmetic: Magnetic Memory Series Statistics Equations & Answers (Quickstudy: Academic) Math Girls Talk About Equations & Graphs (Volume 1) Math Girls Talk about Equations & Graphs Jousting Armadillos & Other Equations: An Introduction to Algebra Geometry Word Problems: No Problem! (Math Busters Word Problems) Practical Problems in Mathematics for Heating and Cooling Technicians (Practical Problems In Mathematics Series) Major Problems in American Immigration and Ethnic History (Major Problems in American History) The Holocaust: Problems and Perspectives of Interpretation (Problems in European Civilization (Wadsworth)) Major Problems in Texas History (Major Problems in American History Series)
