Higher Mathematics for Physics and Engineering

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Shima, Hiroyuki (Author), Nakayama, Tsuneyoshi (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Subjects:
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Mathematics.
Mathematical analysis.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering Applications.
Applications of Mathematics.
Mathematical Methods in Physics.
Analysis.
Online Access:Texto Completo
Table of Contents:
  • 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.

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