I'm interested in Integration. Of late, I've been exposed to several problems on Summations, Integration and Special Functions, as well as the knowledge of theorems such as the Dominated Convergence Theorem, Fubini's Theorem and so on so forth. These problems require greater knowledge of Calculus than what I presently know.
I have learnt Calculus from the following book:
- Mathematical Methods in the Physical Sciences by Mary L Boas
I learnt some Calculus of One Variable and so now have been trying Multi Variable Calculus. I'm comfortable with Partial Differentiation, and to an extent Hyperbolic Trigonometry too. I have not studied Linear Algebra before.
I want to start with Complex methods of Integration such as Contour Integration.
Could somebody suggest books from where I could study?
Best Answer
A delicious classic would be "The Theory of Functions" by Titchmarsh. Despite being old (1939), it is very modern in its rigour, fear not! You may find it freely available on the internet, it is no longer subjected to any copyright.