Introduction to Methods of Approximation in Physics and Astronomy

• Κύριος συγγραφέας: van Putten, Maurice H. P. M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Σειρά: Undergraduate Lecture Notes in Physics,
• Θέματα: Physics.; Observations, Astronomical.; Astronomy > Observations.; Astrophysics.; Mathematical Methods in Physics.; Astronomy, Observations and Techniques.; Numerical and Computational Physics, Simulation.; Astrophysics and Astroparticles.

This textbook provides students with a solid introduction to the techniques of approximation commonly used in data analysis across physics and astronomy. The choice of methods included is based on their usefulness and educational value, their applicability to a broad range of problems and their util...

Πίνακας περιεχομένων:

• Preface
• Part I Preliminaries
• 1 Complex numbers
• 2 Complex function theory
• 3 Vectors and linear algebra
• 4 Linear partial differential equations
• Part II Methods of approximation
• 5 Projections and minimal distances
• 6 Spectral methods and signal analysis
• 7 Root finding
• 8 Finite differencing: differentiation and integration
• 9 Perturbation theory, scaling and turbulence
• Part III Selected topics
• 10 Thermodynamics of N-body systems
• 11 Accretion flows onto black holes
• 12 Rindler observers in astrophysics and cosmology
• A Some units and constant
• B Г(z) and Ϛ(z) functions.