I studied physics as an undergrad (a long time back), and have recently return to self-studies. This book provides an excellent summary of the essential theorems of advanced graduate mathematics, as needed for advanced undergraduate, and 1st/2nd year graduate study in physics. I'm not sure why the preview is virtually empty, not even a table of contents. That is usually a "red flag" for a book with no value, but here there is great content, clear organization, strong and graspable writing, and connections between different areas of math of well elucidated. This book is not for mathematicians, the proofs are brief or omitted altogether. But excellent for physicists, and probably for EEs, mech Es, material scientists, etc.<br><br>If/when I have time, I may edit this to at least post the outline of the table of contents. Anyway -- lacking a decent preview, I decided I could afford a few $$ to give the book a test run. I am glad I did.