As an amateur astronomer who loves theory and the math that goes with it, I found this text to be utterly exquisite for helping me recapture a lot of my old math skills. While the real amount of calculus needed in the text was not overtly taxing, I did find the text very useful indeed for requiring the use of a strong algebra background, along with lots of Trig, and of course, geometry and Calculus.
The problems in this book were intriguing, challenging and just awesome in every respect. For example, I found myself for the first time since I can recall, drawing Trig and geometrical diagrams to assist in visualizing a particular problem as an aid toward the ultimate answer! These problems, all of them mathematical in nature, are extremely interesting and encourage you to make a sketch of the phenomenon at hand in order to arrive at a solution.
And in addition to the problems, the text has very useful solved examples that show you how a particular problem calculation is reached. You really do learn a lot just from these examples.
I think the book might have benefitted from having even more exercises in it, which to me would make it even more useful for a semester university course in introductory Astrophysics. Instead of having 73 exercises, perhaps 150-200 problems would have been more 'whetting' to an appetite like mine is for Astronomy. But, I can heartily recommend that this book, if completed and all the problems worked, will definitely prepare one for a more challenging text with more Math and problems!
The authors could only improve this thing with more text length and more problems, as far as I am concerned. The appendixes and Tables in the back give the student a little bit of good background to the Math needed in the book as well.
This text is a complete WINNER in the category of INTRODUCTORY TEXTBOOKS for the beginning course in college Astronomy!