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Mathematical Physics for Engineers

出版	New Age Science, 2009
主題	Medical / EpidemiologyScience / Physics / Mathematical & Computational
ISBN	19065740229781906574024
URL	http://books.google.com.hk/books?id=bMnHPQAACAAJ&hl=&source=gbs_api

註釋Annotation The book starts with a general background in matrix, determinant and vector calculus, followed by some very important aspects in mathematics such as Dirac Delta Function, Analyticity, Orthogonality, Singularity, subjects that are not covered separately in other literature. The most important 'special functions' such as Hermite, Legendre, Laguerre, Chebyshev, are discussed in terms of their applications in quantum mechanics to bring interest in this subject. Finally, starting with the Fourier series, the important 'integral transforms', such as Fourier, Laplace and Hilbert are described with an inclination towards 'applications' for both undergraduate and postgraduate students in various branches of engineering as well as for readers doing postgraduate studies in general and applied sciences. Although 'tensor analysis' is not taught in many undergraduate courses; a short chapter is included at the end to briefly introduce the subject. This is a book where the technologist meets the mathematicians. Contents 1. Matrix Algebra 2. Determinants 3. Vector Calculus (Gradient, Divergence and Curl) 4. Gauss, Green Stoke's Theorem 5. Dirac Delta Function 6. Differential Calculus 7. Frobenius Method 8. Convergence 9. Orthogonality 10. Wronskian 11. Analytic Function 12. Taylor Series 13. Laurent Expansion 14. Singularities 15. Calculus of Residues (Cauchy Reimann) 16. Hermite Polynomials 17. Legendre Polynomial 18. Laguere Polynomial 19. Chebyshev Polynomial 20. Bessel Functions 21. Fourier Series 22. Integral Transforms and Kernels 23. Fourier Transform 24. Convolution Theorem 25. Perseval Relation 26. Laplace Transform 27. Hilbert Transform 28. TensorAnalysis.