Transcription of Mathematical Methods for Geophysics and Space …
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Mathematical Methods for Geophysics and Space …
Newman 2016/2/8 17:00 page1 #17 CHAPTER ONEM athematical PreliminariesThe underlying theory for Geophysics , planetary physics , andspace physics requires a solid understanding of many of themethods of Mathematical physics as well as a set of special-ized topics that are integral to the diverse array of real-worldproblems that we seek to understand. This chapter will reviewsome essential Mathematical concepts and notations that arecommonly employed and will be exploited throughout this will begin with a review of vector analysis focusing on indi-cial notation, including the Kronecker and Levi-Civita per-mutation symbol, and vector operators. Cylindrical and spheri-cal geometry are ubiquitous in Geophysics and Space physics , asare the theorems of Gauss, Green, and Stokes. Accordingly, wewill derive some of the essential vector analysis results in Carte-sian geometry in these curvilinear coordinate systems.
methods of mathematical physics as well as a set of special-ized topics that are integral to the diverse array of real-world problems that we seek to understand.
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