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Geometric Analysis and Nonlinear Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2003)
Loot Price: R3,336
Discovery Miles 33 360
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Geometric Analysis and Nonlinear Partial Differential Equations (Paperback, Softcover reprint of the original 1st ed. 2003)
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This book is not a textbook, but rather a coherent collection of
papers from the field of partial differential equations.
Nevertheless we believe that it may very well serve as a good
introduction into some topics of this classical field of analysis
which, despite of its long history, is highly modem and well
prospering. Richard Courant wrote in 1950: "It has always been a
temptationfor mathematicians to present the crystallized product of
their thought as a deductive general theory and to relegate the
individual mathematical phenomenon into the role of an example. The
reader who submits to the dogmatic form will be easily
indoctrinated. Enlightenment, however, must come from an
understanding of motives; live mathematical development springs
from specific natural problems which can be easily understood, but
whose solutions are difficult and demand new methods or more
general significance. " We think that many, if not all, papers of
this book are written in this spirit and will give the reader
access to an important branch of analysis by exhibiting interest
ing problems worth to be studied. Most of the collected articles
have an extensive introductory part describing the history of the
presented problems as well as the state of the art and offer a well
chosen guide to the literature. This way the papers became
lengthier than customary these days, but the level of presentation
is such that an advanced graduate student should find the various
articles both readable and stimulating."
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