Saturday, 17 February 2018

Book for studying Calculus II

What book should I choose for self-studying Calculus II?. I'm looking for a book that has a good explanation of the content and also solved exercises (which is a very important thing that I'm usually missing).




I'm already studying Calculus I by A First Course in Calculus by Lang and Calculus and Analytical Geometry by Thomas and Finney. Do you think these are good books for Calculus II? I have a feeling Lang doesn't cover all the contents in my course (not sure about Thomas and Finney tho). What is in your opinion the best book for self-study. If there is a better book than the ones on this list please tell me. Thanks!!



NOTE:
Here are the contents of my course:
The algebraic and topological structure of Rn.



Functions from Rn to Rm: continuity and the notion of limit. Differential calculus. Partial derivatives. Chain rule. Taylor's theorem in Rn and applications to the study of extreme values. Inverse and implicit function theorems. Extreme values of functions with constrained variables.



Multiple integrals: Fubini's theorem, change of variables theorem, applications to the computation of physical quantities.



Line integrals: Integrals of scalar fields and vector fields. Fundamental theorem of calculus for line integrals, conservative fields, and scalar potentials. Green's theorem.




Surface integrals: surface integrals of a scalar field, flux of a vector field, divergence theorem and Stokes' theorem.

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