Partial Differential Equations I
Basic Theory
Nonfiction, Science & Nature, Mathematics, Topology, Differential Equations
| Author: | Michael E. Taylor | ISBN: | 9781441970558 |
| Publisher: | Springer New York | Publication: | October 29, 2010 |
| Imprint: | Springer | Language: | English |
| Author: | Michael E. Taylor |
| ISBN: | 9781441970558 |
| Publisher: | Springer New York |
| Publication: | October 29, 2010 |
| Imprint: | Springer |
| Language: | English |
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 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.
