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Which Math Book Should I Get for Multivariable Calculus?
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[QUOTE="jbunniii, post: 4770576, member: 81553"] Apostol is pretty rigorous and it will take you quite a while to hack your way through. If you want a less rigorous but really excellent introduction, get Lang's [URL='https://www.amazon.com/dp/0387964053/?tag=pfamazon01-20']Calculus of Several Variables[/URL]. Neither Apostol nor Lang does differential forms, though, and Rudin would be a horrible place to learn this (or any of the material in chapters 9-11, for that matter). An alternative would be Hubbard's [URL='https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20']Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach[/URL], which I have not read but which has a very good reputation. Personally I don't see the point of trying to learn differential forms without having learned the "classical" treatment as in Lang, but that's just my preference. If I recall correctly, Rudin does measure theory and Lebesgue integration in chapter 10 and/or 11. None of the above books will help you with this, and I would NOT advise learning it from Rudin. Almost any other book covering this material will be a better choice. A nice efficient (but expensive) choice would be Bartle's [URL='https://www.amazon.com/dp/0471042226/?tag=pfamazon01-20']The Elements of Integration and Lebesgue Measure[/URL]. [/QUOTE]
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Which Math Book Should I Get for Multivariable Calculus?
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