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100427s2010 gw | s |||| 0|eng d |
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|a 9783540878643
|9 978-3-540-87864-3
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|a 10.1007/b138494
|2 doi
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|a QC19.2-20.85
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|a PHU
|2 bicssc
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|a SCI040000
|2 bisacsh
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|a 530.1
|2 23
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|a Nakayama, Tsuneyoshi.
|e author.
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|a Higher Mathematics for Physics and Engineering
|b Mathematical Methods for Contemporary Physics /
|c by Tsuneyoshi Nakayama, Hiroyuki Shima.
|h [electronic resource] :
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| 264 |
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2010.
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| 300 |
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|a XXI, 702p. 450 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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0 |
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|a 1. Preliminaries -- 2. Real Sequences and Series -- 3. Real Functions -- 4. Hilbert Spaces -- 5. Orthonormal Polynomials -- 6. Lebesgue Integrals -- 7. Complex Functions -- 8. Singularity and Continuation -- 9. Contour Integrals -- 10. Conformal Mapping -- 11. Fourier Series -- 12. Fourier Transformation -- 13. Laplace Transformation -- 14. Wavelet Transformation -- 15. Ordinary Differential Equations -- 16. System of Ordinary Differential Equations -- 17. Partial Differential Equations -- 18. Cartesian Tensors -- 19. Non-Cartesian Tensors -- 20. Tensor as Mapping -- A. Proof of the Bolzano-Weierstrass Theorem -- B. Dirac's delta-Function -- C. Proof of Weierstrass' Approximation Theorem -- D. Tabulated List of Orthonormal Polynomial Functions.
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| 520 |
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|a 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 of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.
|
| 650 |
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0 |
|a Physics.
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| 650 |
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0 |
|a Global analysis (Mathematics).
|
| 650 |
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0 |
|a Mathematics.
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| 650 |
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0 |
|a Mathematical physics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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4 |
|a Physics.
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| 650 |
2 |
4 |
|a Theoretical, Mathematical and Computational Physics.
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| 650 |
2 |
4 |
|a Appl.Mathematics/Computational Methods of Engineering.
|
| 650 |
2 |
4 |
|a Applications of Mathematics.
|
| 650 |
2 |
4 |
|a Mathematical Methods in Physics.
|
| 650 |
2 |
4 |
|a Analysis.
|
| 700 |
1 |
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|a Shima, Hiroyuki.
|e author.
|
| 710 |
2 |
# |
|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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8 |
|i Printed edition:
|z 9783540878636
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| 856 |
4 |
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b138494
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| 912 |
# |
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|a ZDB-2-PHA
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| 950 |
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|a Physics and Astronomy (Springer-11651)
|