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Eclair_de_XII

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- Calculus
- Thread starter Eclair_de_XII
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Eclair_de_XII

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symbolipoint

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Zexuo

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This page has a strong recommendation.

- #4

smodak

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Quick Calculus: A Self-Teaching Guide by Kleppner for single variable

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FactChecker

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smodak

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These? https://www.amazon.com/dp/4871878384/?tag=pfamazon01-20 & https://www.amazon.com/dp/487187835X/?tag=pfamazon01-20

If yes, then I have them and they are great books. May be a little overkill for what OP is looking into though.

- #8

MidgetDwarf

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Since you are a mathematics major. Maybe review the Real Analysis book used in Intro Analysis Course or a better book. What do you want to use Calculus for?

- #9

mathwonk

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In several variable calculus the same three concepts occur. Basic theorems are the inverse function theorem, the fubini theorem (reducing an integral of several variables down to a sequence of one variable integrals), and the stokes theorem, (generalizing the fundamental theorem of calculus).

Other common topics include summability of infinite series, and solvability of simple differential equations, especially linear ones with constant coefficients. Then there are applications of these ideas to computing volumes, and physical concepts like work. One good book is an old version of the book of George B. Thomas, formerly available used for a couple of dollars. Omiword, those old books are now hundreds of dollars. It seems to be understood that the newer books with names like Finney, Haas, Weir, Giordano, on them are greatly inferior. But maybe the alternate 9th edition with just Finney on it is ok.

https://www.abebooks.com/servlet/Bo...centlyadded=all&cm_sp=snippet-_-srp1-_-title3

But I suggest going to a library for an older edition from the 50's or 60's.

- #10

MidgetDwarf

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I was able to peruse all the editions of Thomas starting from 3 to 11th. There may be more editions now. The 3rd edition of Thomas is much different book then the later editions. I believe the 4th and 5th edition are similar, but not the same. I would definitely go for the 3rd edition. Then supplement it with problem sets from another source. Problem sets can be found for free online. However, the multivariable material in the 3rd edition may be a bit harder to understand then more modern dumb down books.

In several variable calculus the same three concepts occur. Basic theorems are the inverse function theorem, the fubini theorem (reducing an integral of several variables down to a sequence of one variable integrals), and the stokes theorem, (generalizing the fundamental theorem of calculus).

Other common topics include summability of infinite series, and solvability of simple differential equations, especially linear ones with constant coefficients. Then there are applications of these ideas to computing volumes, and physical concepts like work. One good book is an old version of the book of George B. Thomas, formerly available used for a couple of dollars. Omiword, those old books are now hundreds of dollars. It seems to be understood that the newer books with names like Finney, Haas, Weir, Giordano, on them are greatly inferior. But maybe the alternate 9th edition with just Finney on it is ok.

https://www.abebooks.com/servlet/Bo...centlyadded=all&cm_sp=snippet-_-srp1-_-title3

But I suggest going to a library for an older edition from the 50's or 60's.

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