I know this question has been asked so many times on this website but neither do the questions nor the answers satisfy my requirements accordingly.
I'm yet to go to a university with a keen interest in Mathematics. So, no wonder I would like to see no-nonsene math (not heavy either) in a Physics textbook.
I started reading R. Shankar's Fundamentals of physics and I have started to understand the physical phenomenon. I love this book.
But I don't like the way he gets all the $\mathrm{d}t$'s cancelling $\mathrm{d}x$ from both sides.
So, here is my requirements:
- An Introductory Physics Book having a good portion of Classical Mechanics
- The text should have fresh math. I would more than love to see a calculus-based approach.
- Not more than 500 pages, please!