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bacte2013

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I am a college sophomore with double majors in mathematics & microbiology and an aspiring analytic number theorist. I will be going to self-study the vector calculus by using Hubbard/Hubbard as a main text and Serge Lang as a supplement to Hubbard; this will help in my current self-studying of intro. analysis (Rudin's PMA, Apostol's MA, and Pugh) and also prepare me for upcoming vector calculus course (computational aspect) that I will take during the Summer. Unfortunately, my math department utilizes is own course packet for that vector calculus course, which is not that good...I am planning to purchase both Hubbard and Lang since I heard that both of them cover theories (with Hubbard using the analysis) and applications well. However, a lot of people on this forum seem to recommend Apostol Calculus II, Courant's Calculus & Analysis II, Fleming, Munkres & Spivak's manifolds, and Marsden. Are those books better than Hubbard and Serge Lang? My initial goal is to learn from Hubbard & Lang, and proceed to Spivak & Munkres's books on manifold analysis.

Please give me your advice and input! I will really appreciate them!

PK