Buch, Englisch, Band 28, 178 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g
Effective Solutions to Problems
Buch, Englisch, Band 28, 178 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g
Reihe: Progress in Mathematical Physics
ISBN: 978-1-4612-6573-3
Verlag: Birkhäuser Boston
The most important thing is to write equations in a beautiful form and their success in applications is ensured. Paul Dirac The uniqueness and existence theorems for the solutions of boundary and initial value problems for systems of high-order partial differential equations (PDE) are sufficiently well known. In this book, the problems considered are those whose solutions can be represented in quadratures, i.e., in an effective form. Such problems have remarkable applications in mathematical physics, the mechanics of deformable bodies, electro magnetism, relativistic quantum mechanics, and some of their natural generalizations. Almost all such problems can be set in the context of Clifford analysis. Moreover, they can be obtained without applying any physical laws, a circumstance that gives rise to the idea that Clifford analysis itself can suggest generalizations of classical equations or new equations altogether that may have some physical content. For that reason, Clifford analysis represents one of the most remarkable fields in modem mathematics as well as in modem physics.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
I Boundary Value Problems for Regular, Generalized Regular and Pluriregular Elliptic Equations.- I Two-Dimensional Cases.- II Multidimensional Cases.- II Initial Value Problems for Regular and Pluriregular, Hyperbolic and Parabolic Equations.- III Hyperbolic and Plurihyperbolic Equations in Clifford Analysis.- IV Parabolic and Pluriparabolic Equations in Clifford Analysis.- Epilogue.- References.
