1. Introduction;

2. Elements of dual-polarization radar systems;

3. Essential precipitation physics for dual-polarization radar;

4. Basic scattering theory and principles for radar meteorology.

5. Introduction to weather radar signals;

6. Weather radar signal processing;

7. Data quality, data science, and engineering of weather radars;

8. Rate observations and classification;

9. Rainfall estimation and attenuation correction;

10. Weather radar networks.

Historically, new ideas and hypotheses start in small research areas fostered by a small community through journal papers and monographs. As their appreciation and practicality toward applications grows, through the community of researchers, the work is standardized. It is added to the curriculum and textbooks, becoming part of the education at universities. There are numerous examples in history such as: special topics in applied mathematics and statistics being transforming to modern signal processing, or advanced semiconductor physics becoming the electronics and computing boom of the second half of the 20th century. Weather radars, and more specially for our purposes, polarimetric weather radars have undergone the same evolutionary process. Dual-polarization radar is part of standard radar meteorology or remote sensing curriculum in universities. Through its evolution from a edgling field of research in the late 1970's to standard weather observing equipment today, many advanced books have become available in the literature on the topic, starting in 2001 with the first book on Polarimetric Doppler Weather Radar from the Cambridge University Press. This book continues this goal: to distill and disseminate fundamental science and practical engineering knowledge about dual-polarization weather radar and its applications in an introductory style. Radar meteorology is a unique subject. The title itself indicates its interdisciplinary nature, combining the fields of radar and meteorology. Radar systems are the workhorse of weather services and atmospheric researchers around the world, that are used to observe the big picture of atmospheric systems as well as the detailed structure of storms. Weather radars are routinely used in multiple lines of business including national, regional and private weather services, hydrologic and agricultural industries as well as the aviation sector. The adoption of dual-polarization for radar systems beyond the research community coincided with a number of other technological revolutions which made it possible.