Atmospheric Data Analysis is intended to fill a void in the atmospheric science literature and curricula. The book is self contained, and includes topics important in several other fields outside atmospheric observation, including atmospheric dynamics and statistics. It outlines the physical and mathematical basis of all aspects of atmospheric analysis. The emphasis is on the theoretical foundation of the subject and most of the development is analytic, but many practical considerations and examples are introduced. There are numerous exercises at the end of each chapter to aid the student in comprehending the material.