As concrete examples to be used in the classroom we show how to analyze data sets from a field study, a physical model experiment, a mathematical model experiment, and a 3D seismic survey using differential geometry to characterize the shapes of folds in sedimentary rock. The folds are ...
18 5 23 4.Vector algebra andspatialanalytic geometry 10 2 12 5.Derivatives 12 4 16 6. Integration 22 6 28 7. Infinite series 14 3 17 8.Ordinary differential equation 10 3 13 Flexible (mid-term exam, final exam, holidays) 16 16 Total 114 30 16 160©...
and the higher-dimensional Jordan normal form theorem) are stated and discussed without proof."Specific material in the book is organized as follows: Chapter 1 discusses geometry on the plane, including vectors, analytic geometry, linear transformations and matrices, complex numbers, and eigenvalues. ...
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Differential geometry provided the mathematics to quantitatively describe the local shape and orientation of the surface near each data point. A filter based on 2-D Fourier analysis was used to selectively remove designated ranges of wavelengths from the data after re-sampling the surface to a grid...
If we denote 𝜁=2(1+[4𝑀𝐵Λ∗1−𝛽∗]𝑝+𝑘𝑝𝑀2)1𝑝,ζ=21+4MBΛ*1−β*p+kpM21p, then the assertion of the theorem can be proved analogously to the final part of the proof of Theorem 1. This concludes our proof. □ Remark 3. Since the operators involved...
He includes solutions to the exercises and a final exam. (Sci-Tech Book News )史蒂芬·G·克兰茨的作品 《揭秘离散数学:自学指南》Discrete Mathematics Demystified: A Self-Teaching Guide [PDF] 《揭秘微积分:自学指南》Calculus Demystified: A Self-Teaching Guide [PDF]...