This book contains state-of-the-art continuous wavelet analysis of one & more dimensional (geophysical) signals. Special attention is given to the reconnaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere & more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises & demonstrations are available on the Web.