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Theory and Applications of Partial Differential Equations (Hardcover, 1997 ed.)
Loot Price: R4,464
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Theory and Applications of Partial Differential Equations (Hardcover, 1997 ed.)
Series: Mathematical Concepts and Methods in Science and Engineering, 46
Expected to ship within 12 - 17 working days
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This book is a product of the experience of the authors in teaching
partial differential equations to students of mathematics, physics,
and engineering over a period of 20 years. Our goal in writing it
has been to introduce the subject with precise and rigorous
analysis on the one hand, and interesting and significant
applications on the other. The starting level of the book is at the
first-year graduate level in a U.S. university. Previous experience
with partial differential equations is not required, but the use of
classical analysis to find solutions of specific problems is not
emphasized. From that perspective our treatment is decidedly
theoretical. We have avoided abstraction and full generality in
many situations, however. Our plan has been to introduce
fundamental ideas in relatively simple situations and to show their
impact on relevant applications. The student is then, we feel, well
prepared to fight through more specialized treatises. There are
parts of the exposition that require Lebesgue integration,
distributions and Fourier transforms, and Sobolev spaces. We have
included a long appendix, Chapter 8, giving precise statements of
all results used. This may be thought of as an introduction to
these topics. The reader who is not familiar with these subjects
may refer to parts of Chapter 8 as needed or become somewhat
familiar with them as prerequisite and treat Chapter 8 as Chapter
O.
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