Higher Mathematics for Physics and Engineering Mathematical Methods for Contemporary Physics /

• Κύριοι συγγραφείς: Nakayama, Tsuneyoshi (Συγγραφέας), Shima, Hiroyuki (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Θέματα: Physics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Theoretical, Mathematical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.; Applications of Mathematics.; Mathematical Methods in Physics.; Analysis.

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures o...

Πίνακας περιεχομένων:

• Preliminaries
• I Real Analysis
• Real Sequences and Series
• Real Functions
• II Functional Analysis
• Hilbert Spaces
• Orthonormal Polynomials
• Lebesgue Integrals
• III Complex Analysis
• Complex Functions
• Singularity and Continuation
• Contour Integrals
• Conformal Mapping
• IV Fourier Analysis
• Fourier Series
• Fourier Transformation
• Laplace Transformation
• Wavelet Transformation
• V Differential Equations
• Ordinary Differential Equations
• System of Ordinary Differential Equations
• Partial Differential Equations
• VI Tensor Analyses
• Cartesian Tensors
• Non-Cartesian Tensors
• Tensor as Mapping.