Roel Snieder

Guided Tour of Mathematical Methods for the Physical Sciences (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Mathematical methods are essential tools for all physical scientists. This book provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students across the physical sciences. In contrast to more traditional textbooks, all the material is presented in the form of exercises. Within these exercises, basic mathematical theory and its applications in the physical sciences are well integrated. In this way, the mathematical insights that readers acquire are driven by their physical-science insight. This third edition has been completely revised: new material has been added to most chapters, and two completely new chapters on probability and statistics and on inverse problems have been added. This guided tour of mathematical techniques is instructive, applied, and fun. This book is targeted for all students of the physical sciences. It can serve as a stand-alone text, or as a source of exercises and examples to complement other textbooks.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 5. März 2015
• Englisch
• ISBN-13: 9781316235195
• Artikelnr.: 52926928

Autorenporträt

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.