This new astrophysics text integrates analytical and computational methods to explore a broad range of topics in astrophysics.Beginning with first principles and using simplifying approximations, this new astrophysics text integrates analytical and computational methods to explore a broad range of topics in the field. The book uses the advanced computational tools to develop a deeper understanding both of the subject and modern analysis methods.Beginning with first principles and using simplifying approximations, this new astrophysics text integrates analytical and computational methods to explore a broad range of topics in the field. The book uses the advanced computational tools to develop a deeper understanding both of the subject and modern analysis methods.This new text surveys a series of fundamental problems in astrophysics, both analytically and computationally for advanced students in physics and astrophysics. The contents are supported by over 110 class-tested Mathematica notebooks, allowing rigorous solutions to be explored in a visually engaging way. Topics covered include many classical and historically interesting problems, enabling the students to appreciate the mathematical and scientific challenges that were overcome in the subject's development. The text also shows the advantages and disadvantages of using analytical and computational methods. It will serve students, professionals, and capable amateurs to master the quantitative details of modern astrophysics and the computational aspects of their research projects.Preface; 1. Introduction; 2. Stellar atmospheres; 3. Stellar interiors; 4. Extreme classical stars; 5. General relativity and applications; 6. Binaries and clusters; 7. Astrophysical plasmas; 8. Galaxies; 9. Cosmic structures; References; Index.