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大小: 6.06MB文件类型: .pdf金币: 1下载: 0 次发布日期: 2023-10-22
- 语言: 其他
- 标签: math engineering mathematics
资源简介
This seventh edition of Advanced Engineering Mathematics differs from the sixth in four ways.
First, based on reviews and user comments, new material has been added, including the
following.
• Orthogonal projections and least squares approximations of vectors and functions. This provides
a unifying theme in recognizing partial sums of eigenfunction expansions as projections
onto subspaces, as well as understanding lines of best fit to data points.
• Orthogonalization and the production of orthogonal bases.
• LU factorization of matrices.
• Linear transformations and matrix representations.
• Application of the Laplace transform to the solution of Bessel’s equation and to problems
involving wave motion and diffusion.
• Expanded treatment of properties and applications of Legendre polynomials and Bessel
functions, including a solution of Kepler’s problem and a model of alternating current flow.
• Heaviside’s formula for the computation of inverse Laplace transforms.
• A complex integral formula for the inverse Laplace transform, including an application to heat
diffusion in a slab.
• Vector operations in orthogonal curvilinear coordinates.
• Application of vector integral theorems to the development of Maxwell’s equations.
• An application of the Laplace transform convolution to a replacement scheduling problem.
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