Separable boundary-value problems in physics /

• Κύριος συγγραφέας: Willatzen, Morten
• Άλλοι συγγραφείς: Lew Yan Voon, Lok C.
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Weinheim : Wiley-VCH Verlag, [2011]
• Θέματα: Boundary value problems.; SCIENCE > Physics > Mathematical & Computational.; Electronic books.; Electronic resource.

Innovative developments in science and technology require a thorough knowledge of applied mathematics, particularly in the field of differential equations and special functions. These are relevant in modeling and computing applications of electromagnetic theory and quantum theory, e.g. in photonics...

Πίνακας περιεχομένων:

• General Theory
• Two-Dimensional Coordinate Systems. Rectangular Coordinates
• Circular Coordinates
• Elliptic Coordinates
• Parabolic Coordinates
• Three-Dimensional Coordinate Systems. Rectangular Coordinates
• Circular Cylinder Coordinates
• Elliptic Cylinder Coordinates
• Parabolic Cylinder Coordinates
• Spherical Polar Coordinates
• Prolate Spheroidal Coordinates
• Oblate Spheroidal Coordinates
• Parabolic Rotational Coordinates
• Conical Coordinates
• Ellipsoidal Coordinates
• Paraboloidal Coordinates
• Advanced Formulations. Differential-Geometric Formulation
• Quantum-Mechanical Particle Confined to the Neighborhood of Curves
• Quantum-Mechanical Particle Confined to Surfaces of Revolution
• Boundary Perturbation Theory
• Appendix A: Hypergeometric Functions
• Appendix B: Baer Functions
• Appendix C: Bessel Functions
• Appendix D: Lam̌ Functions
• Appendix E: Legendre Functions
• Appendix F: Mathieu Functions
• Appendix G: Spheroidal Wave Functions
• Appendix H: Weber Functions
• Appendix I: Elliptic Integrals and Functions.