Partial Differential Equations I Basic Theory /
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 spa...
Shranjeno v:
| Glavni avtor: | |
|---|---|
| Korporativna značnica: | |
| Format: | Elektronski eKnjiga |
| Jezik: | angleščina |
| Izdano: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
|
| Izdaja: | 3rd ed. 2023. |
| Serija: | Applied Mathematical Sciences,
115 |
| Teme: | |
| Online dostop: | https://doi.org/10.1007/978-3-031-33859-5 |
| Oznake: |
Označite
Brez oznak, prvi označite!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-33859-5 | ||
| 003 | DE-He213 | ||
| 005 | 20260810170253.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 231206s2023 sz | o |||| 0|eng d | ||
| 020 | |a 9783031338595 |9 978-3-031-33859-5 | ||
| 024 | 7 | |a 10.1007/978-3-031-33859-5 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Taylor, Michael E. |e author. |0 (orcid)0000-0001-5961-5702 |1 https://orcid.org/0000-0001-5961-5702 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Partial Differential Equations I |h [electronic resource] : |b Basic Theory / |c by Michael E. Taylor. |
| 250 | |a 3rd ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XXIV, 714 p. 40 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 115 | |
| 505 | 0 | |a Contents of Volumes II and III -- Preface -- 1 Basic Theory of ODE and Vector Fields -- 2 The Laplace Equation and Wave Equation -- 3 Fourier Analysis, Distributions, and Constant-Coefficient Linear PDE -- 4 Sobolev Spaces -- 5 Linear Elliptic Equation -- 6 Linear Evolution Equations -- A Outline of Functional Analysis -- B Manifolds, Vector Bundles, and Lie Groups -- Index. . | |
| 520 | |a 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 sectionson 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). | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Manifolds and Cell Complexes. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031338588 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031338601 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031338618 |
| 830 | 0 | |a Applied Mathematical Sciences, |x 2196-968X ; |v 115 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-33859-5 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||