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Ok, so I'm well beyond the level of learning calculus / analysis, so I don't need a text book with all the teaching nonsense in it, but I'd like to still develop my speed and flexibility when it comes to solving integrals ... mainly due to eventually being a TA / professor and possibly having to encounter really tricky ones and being able to do them with total ease on the fly.
So I have probably 5-6 calculus books and have worked all the problems in each of them, but the one thing that is a bit unfortunate about them is that, for example: I can turn to page ### and pick problem xx and do it, BUT since I can't turn off my ability to read, I know darn well it's in the section of the book where the problems are designed to be solved with a substitution followed by integration by parts ... which makes the problem pretty cut and dry since I can obviously do that.
Now I may be crazy and my memory deceiving me, but I swear that at some point in my early calculus career (so any of maybe 3-4 professors) had once talked about a book containing 1000+ integrals to solve that were not labeled or in sections based on how to solve them or anything like that.
This type of thing really is of interest to me and I thought I'd ask the PF community before I go emailing out of nowhere a few of my old profs asking if they were the ones who were talking about this ... OR if anybody on here knew of said book or one very similar to it that I could find on amazon/ebay for cheap.
It would be really sweet if I could solve 5 totally random integrals a day for the next year (taking weekends off) in addition to my other math learning and whatnot ... just to stay really quick and beastly with my calculus for when I'm teaching it.
Thanks for any help.
p.s. I am not thinking of "The Humongous Book of Calculus Problems" ... although that may be fine, I am just afraid that something like that is too easy, not devoted enough to integrals, and also is divided up into sections so you pretty much know how to go about solving it before you even see the problem.
p.p.s. well it may be that I was thinking of the Gradsheyn and Rytzik which makes sense because one of my early calc profs was Russian and he may have just been solving random integrals from the tables in there, but that's still not as cool, like you still know what section it's coming from and probably how to approach the solution ... and often those could be absolutely daunting, half of what I'm looking for is also a nice tool for being able to train for fast solutions of GRE style integrals that I may encounter (aka around 2-3 min to solve if you're good), in addition to just being BA at integral calculus.
So I have probably 5-6 calculus books and have worked all the problems in each of them, but the one thing that is a bit unfortunate about them is that, for example: I can turn to page ### and pick problem xx and do it, BUT since I can't turn off my ability to read, I know darn well it's in the section of the book where the problems are designed to be solved with a substitution followed by integration by parts ... which makes the problem pretty cut and dry since I can obviously do that.
Now I may be crazy and my memory deceiving me, but I swear that at some point in my early calculus career (so any of maybe 3-4 professors) had once talked about a book containing 1000+ integrals to solve that were not labeled or in sections based on how to solve them or anything like that.
This type of thing really is of interest to me and I thought I'd ask the PF community before I go emailing out of nowhere a few of my old profs asking if they were the ones who were talking about this ... OR if anybody on here knew of said book or one very similar to it that I could find on amazon/ebay for cheap.
It would be really sweet if I could solve 5 totally random integrals a day for the next year (taking weekends off) in addition to my other math learning and whatnot ... just to stay really quick and beastly with my calculus for when I'm teaching it.
Thanks for any help.
p.s. I am not thinking of "The Humongous Book of Calculus Problems" ... although that may be fine, I am just afraid that something like that is too easy, not devoted enough to integrals, and also is divided up into sections so you pretty much know how to go about solving it before you even see the problem.
p.p.s. well it may be that I was thinking of the Gradsheyn and Rytzik which makes sense because one of my early calc profs was Russian and he may have just been solving random integrals from the tables in there, but that's still not as cool, like you still know what section it's coming from and probably how to approach the solution ... and often those could be absolutely daunting, half of what I'm looking for is also a nice tool for being able to train for fast solutions of GRE style integrals that I may encounter (aka around 2-3 min to solve if you're good), in addition to just being BA at integral calculus.
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