Higher Mathematics for Physics and Engineering

By Hiroyuki Shima and Tsuneyoshi Nakayama

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3642425917
• ISBN13: 9783642425912
• Release Date: November 2014
• Publisher: Springer
• Length: 688 Pages
• Weight: 2.16 lbs.
• Dimensions: 1.4" x 6.1" x 9.2"