I'm an undergraduate student of physics. I have an upcoming course on Advanced Calculus but I do not know which book to follow. So, recommend me an undergraduate level book on Advanced Calculus.

Edit: The syllabus has 1. Multiple integration, 2. Partial Derivatives and 3. Applications of Partial Derivatives. (It has one more block, it's something basic though)

Edit 2: I just looked up on quora to know what Advanced Calculus actually is. They are saying it includes things like Green's theorem, Stokes' theorem, line integrals, linear algebra ( I've a separate course on this), Fourier analysis, Taylor series, $$\mathbb{R}^n$$ and $$\mathbb{R}$$ (infinity) etc. My course includes all of these and even more( I listed them just for an idea)

• This is essentially what you want to look at Jun 15 '19 at 15:14
• What do you mean by "Advanced Calculus"? Jun 15 '19 at 15:14
• @user10354138 I don't know about the syllabus as this is an upcoming course. Jun 15 '19 at 15:15
• Setting aside what you're looking for, there's a really good, albeit said to be hard, book called Advanced calculus by Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University. There's an available online copy (legal) math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf This book is based on an honors course in advanced calculus that the authors gave in the 1960's.
– Luyw
Jun 15 '19 at 17:50
• @Luyw Thanks for your recommendation Jun 17 '19 at 0:30