PhD thesis: Forward modeling and inversion of gravitational fields in spherical coordinates

Thesis for my PhD degree in Geophysics from the Observatório Nacional, Brazil.

This thesis contains the pre-review versions of the papers "Fast non-linear gravity inversion in spherical coordinates with application to the South American Moho" (published in Geophysical Journal International; https://doi.org/10.1093/gji/ggw390) and "Tesseroids: forward modeling gravitational fields in spherical coordinates" (published in Geophysics; https://doi.org/10.1190/geo2015-0204.1). It also contains "Modeling the Earth with Fatiando a Terra" (CC-BY; https://doi.org/10.25080/Majora-8b375195-010).