The Road to Reality: A Complete Guide to the Laws of the Universe

Freshman university textbooks have what you need. Two of the most popular are: - University Physics by Young and Freedman - Fundamentals of Physics by Halliday, Resnick, Walker - Modern Physics by Krane You might guess that real physics is not actually in freshman textbooks, and you are right. Modern physics requires rigorous mathematics. For a nonrigorous introduction/overview: - The Road to Reality by Roger Penrose If you want to actually learn almost all of physics at a high level: - Course of Theoretical Physics by Landau Note that Landau is extremely difficult. If you want to learn the math needed for modern physics (topology) in the context of physics, nonrigorously: - Geometry, Topology, and Physics by Nakahara

Roger Penrose’s (Yes that Penrose) Road to Reality is excellent. Be warned the first 382 pages are just building the mathematical foundation he needs for the second half. But if you don’t do this, you can’t really write a book about modern physics targeting undergrad math.

The Road to Reality by Roger Penrose. https://www.nytimes.com/2005/02/27/books/review/the-road-to-... (https://www.nytimes.com/2005/02/27/books/review/the-road-to-reality-a-really-long-history-of-time.html)

The Road To Reality by Roger Penrose. All (literally all) signal

I picked up The Road to Reality: A Complete Guide to the Laws of the Universe by Roger Penrose, for the third time. It's really interesting and well written, but I still feel it's a pretty heavy read. I figure that I'll get through it with Sal Khan's help, when I hit math and physics that's above my level. I hope it will be a good way for me to improve my math, while learning about our history and the universe all at the same time.

Maybe more on topic than you suggest, as some Physics books double as pretty good books about math. http://www.amazon.com/Road-Reality-Complete-Guide-Universe/d... (http://www.amazon.com/Road-Reality-Complete-Guide-Universe/dp/0679776311/ref=sr_1_1?ie=UTF8&s=books&qid=1250000533&sr=1-1) OK, I haven't actually read it, but it looked like a really good book for learning a lot of interesting math when I thumbed through its contents at the library. :)