This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences.
This completely revised edition provides a comprehensive tour of the mathematical knowledge and techniques needed by students across the physical sciences.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Roel Snieder holds the Keck Foundation Endowed Chair of Basic Exploration Science at the Colorado School of Mines. From 1997 to 2000, he served as Dean of the Faculty of Earth Sciences at the University of Utrecht. Snieder has served on the editorial boards of Geophysical Journal International, Inverse Problems, Reviews of Geophysics, and the European Journal of Physics. In 2000, he was elected Fellow of the American Geophysical Union. He is co-author of the textbook The Art of Being a Scientist: A Guide for Graduate Students and their Mentors (Cambridge University Press, 2009). From 2003 to 2011, he was a member of the Earth Science Council of the US Department of Energy. In 2008, Snieder worked for the Global Climate and Energy Project at Stanford University on outreach and education on global energy. That same year, he was a founding member of the humanitarian organization Geoscientists Without Borders, where he served as chair until 2013. In 2011, he was elected Honorary Member of the Society of Exploration Geophysicists.
Inhaltsangabe
1. Introduction 2. Dimensional analysis 3. Power series 4. Spherical and cylindrical coordinates 5. Gradient 6. Divergence of a vector field 7. Curl of a vector field 8. Theorem of Gauss 9. Theorem of Stokes 10. The Laplacian 11. Scale analysis 12. Linear algebra 13. Dirac delta function 14. Fourier analysis 15. Analytic functions 16. Complex integration 17. Green's functions: principles 18. Green's functions: examples 19. Normal modes 20. Potential-field theory 21. Probability and statistics 22. Inverse problems 23. Perturbation theory 24. Asymptotic evaluation of integrals 25. Conservation laws 26. Cartesian tensors 27. Variational calculus 28. Epilogue on power and knowledge.
1. Introduction 2. Dimensional analysis 3. Power series 4. Spherical and cylindrical coordinates 5. Gradient 6. Divergence of a vector field 7. Curl of a vector field 8. Theorem of Gauss 9. Theorem of Stokes 10. The Laplacian 11. Scale analysis 12. Linear algebra 13. Dirac delta function 14. Fourier analysis 15. Analytic functions 16. Complex integration 17. Green's functions: principles 18. Green's functions: examples 19. Normal modes 20. Potential-field theory 21. Probability and statistics 22. Inverse problems 23. Perturbation theory 24. Asymptotic evaluation of integrals 25. Conservation laws 26. Cartesian tensors 27. Variational calculus 28. Epilogue on power and knowledge.
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