Advanced Engineering MathematicsCRC-Press, 1998 - 634 pages This text/reference covers essential areas of engineering mathematics involving single, multiple, and complex variations. Taken as a whole, this book provides a succinct, carefully organized guide for mastering engineering mathematics. Unlike typical textbooks, Advanced Engineering Mathematics begins with a thorough exploration of complex variables because they provide powerful techniques for understanding topics, such as Fourier, Laplace and z-transforms, introduced later in the text. The book contains a wealth of examples, both classic problems used to illustrate concepts, and interesting real-life examples from scientific literature. Ideal for a two-semester course on advanced engineering mathematics, Advanced Engineering Mathematics is concise and well-organized, unlike the long, detailed texts used to teach this subject. Since almost every engineer and many scientists need the skills covered in this book for their daily work, Advanced Engineering Mathematics also makes an excellent reference for practicing engineers and scientists. |
Table des matières
Acknowledgments | 1 |
Fourier Series | 51 |
The Fourier Transform | 107 |
Droits d'auteur | |
10 autres sections non affichées
Expressions et termes fréquents
a₁ amplitude analytic b₁ boundary conditions C₁ closed contour coefficients complex number compute contour integral convergence convolution cos(t cosine ct/L delta function denotes derivative det(A e-cz eigenfunction eigenvalues eigenvectors equals zero evaluate Example expansion Figure find the inverse finite fluid formula Fourier series Fourier transform frequency function f(t half-range harmonic heat equation initial condition u(x Laplace transform Laplace's equation Let us find line integral linear matrix method ordinary differential equations orthogonality oscillations partial differential equation particular solution polynomials radius satisfies Section separation of variables shifting theorem sin(t sin(x sin² sine singularities step function Sturm-Liouville problem Substituting surface temperature tion vector field velocity vibrations wave equation yields z-transform ди მყ