The first of three volumes on partial differential equations, this
one introduces basic examples arising in continuum mechanics,
electromagnetism, complex analysis and other areas, and develops a
number of tools for their solution, in particular Fourier analysis,
distribution theory, and Sobolev spaces. These tools are then
applied to the treatment of basic problems in linear PDE, including
the Laplace equation, heat equation, and wave equation, as well as
more general elliptic, parabolic, and hyperbolic equations. The
book is targeted at graduate students in mathematics and at
professional mathematicians with an interest in partial
differential equations, mathematical physics, differential
geometry, harmonic analysis, and complex analysis. The third
edition further expands the material by incorporating new theorems
and applications throughout the book, and by deepening connections
and relating concepts across chapters. In includes new
sections on rigid body motion, on probabilistic results related to
random walks, on aspects of operator theory related to quantum
mechanics, on overdetermined systems, and on the Euler equation for
incompressible fluids. The appendices have also been updated
with additional results, ranging from weak convergence of measures
to the curvature of Kahler manifolds.Michael E. Taylor is a
Professor of Mathematics at the University of North Carolina,
Chapel Hill, NC. Review of first edition: “These volumes will be
read by several generations of readers eager to learn the modern
theory of partial differential equations of mathematical physics
and the analysis in which this theory is rooted.” (Peter Lax,
SIAM review, June 1998)
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Applied Mathematical Sciences, 115 |
| Release date: |
September 2023 |
| Firstpublished: |
2023 |
| Authors: |
Michael E Taylor
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
712 |
| Edition: |
3rd ed. 2023 |
| ISBN-13: |
978-3-03-133858-8 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-133858-8 |
| Barcode: |
9783031338588 |
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