Higher Mathematics for Physics and Engineering

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.

Author: Hiroyuki Shima, Tsuneyoshi Nakayama
Publisher: Springer
Published: 11/11/2014
Pages: 688
Binding Type: Paperback
Weight: 2.16lbs
Size: 9.21h x 6.14w x 1.42d
ISBN13: 9783642425912
ISBN10: 3642425917
BISAC Categories:
- Science | Physics | Mathematical & Computational
- Mathematics | Mathematical Analysis
- Mathematics | Applied

About the Author

Tsuneyoshi Nakayama

graduated from Hokkaido University in Japan in 1973. He is a professor of Theoretical Condensed Matter Physics in Department of Applied Physics in Hokkaido University from 1986. During this period he stayed Max-Planck Institute, University of Monpellier, University of Cambridge, and The University of Tokyo. He is the co-author of the book "Fractal concepts of condensed matter."

Hiroyuki Shima

obtained Ph.D from Hokkaido University. He is currently pursuing his studies, with a special interest in critical phenomena in disordered systems and many-body problems in complex systems. He has had a considerable amount of experience in teaching mathematics and physics to undergraduate and graduate students.

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