Are spivak and apostol calculus book good even from a physics point of view for learning calculus?
I have a basic understanding of calculus but want to learn in depth more physics and for this I require more calculus
Best Answer
You can try out Introduction to Calculus and Analysis by Courant. The first volume deals with single variable calculus and the second volume deals with multiple variable calculus.
You want the book by V.I. Arnold, Mathematical Methods of Classical Mechanics. It takes a very rigorous, axiomatic approach to Lagrangian and Hamiltonian mechanics, and it should be accessible to, and enjoyable by, a broad spectrum of mathematicians.
For more details see this review by Ian Sneddon, which also covers Walter Thirring's A course in mathematical physics, vol. 1: Classical dynamical systems.
I recommend Principles of Physics by David Halliday, Robert Resnick and Jearl Walker. Its a wonderful book for learning the fundamentals of physics (even though its calculus based). It covers topics (from measurements to big bang) in a well oriented manner and each chapter contains a collection of very good problems to work on with, which will really give you an insight into the practical way of physics (or seeing the world through physics type stuff).
The topics the book covers can be seen here. I should mention here that more the (good) books you read, the better it will be.
Best Answer
You can try out Introduction to Calculus and Analysis by Courant. The first volume deals with single variable calculus and the second volume deals with multiple variable calculus.