Fleisch D., Kregenow J. A Student's Guide to the Mathematics of Astronomy

Cambridge: Cambridge University Press, 2013. — 205 p. — ISBN: 978-1-107-61021-7.The study of astronomy offers an unlimited opportunity for us to gain a deeper understanding of our planet, the Solar System, the Milky Way Galaxy and the known Universe. Using the plain-language approach that has proven highly popular in Fleisch's other Student's Guides, this book is ideal for non-science majors taking introductory astronomy courses. The authors address topics that students find most troublesome, on subjects ranging from stars and light to gravity and black holes. Dozens of fully worked examples and over 150 exercises and homework problems help readers get to grips with the concepts in each chapter. An accompanying website features a host of supporting materials, including interactive solutions for every exercise and problem in the text and a series of video podcasts in which the authors explain the important concepts of every section of the book.Preface page
Acknowledgements
Fundamentals
Units and unit conversions
Absolute and ratio methods
Rate problems
Scientific notation
Chapter problems
Gravity
Newton’s Law of Gravity
Newton’s Laws of Motion
Kepler’s Laws
Chapter problems
Light
Light and spectrum fundamentals
Radiation laws
Doppler shift
Radial-velocity plots
Chapter problems
Parallax, angular size, and angular resolution
Parallax
Angular size
Angular resolution
Chapter problems
Stars
Stellar parallax
Luminosity and apparent brightness
Magnitudes
H–R diagram
Chapter problems
Black holes and cosmology
Density
Escape speed
Black holes
The expansion of the Universe
The history and fate of the Universe
Chapter problems
Further reading