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Structural geology algorithms. Vectors and tensors / Алгоритмы структурной геологии. Векторы и тензоры
State-of-the-art analysis of geological structures has become increasingly quantitative, but traditionally, graphical methods are used in teaching and in textbooks. Now, this innovative lab book provides a unified methodology for problem solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book builds from the basics, providing the fundamental background mathematics, and demonstrating the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course.
Starting with classic orientation problems that are easily grasped, the authors then progress to more fundamental topics of stress, strain, and error propagation. They introduce linear algebra methods as the foundation for understanding vectors and tensors. Connections with earlier material are emphasized to allow students to develop an intuitive understanding of the underlying mathematics before introducing more advanced concepts. All algorithms are fully illustrated with a comprehensive suite of online MATLAB® functions, which build on and incorporate earlier functions, and which also allow users to modify the code to solve their own structural problems.
Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also provide professional structural geologists with a valuable reference and refresher for calculations.