Calculus book for specific topics

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The discussion centers on the search for comprehensive calculus and analysis textbooks that provide extensive exercises, particularly on improper integrals. The user has explored mainstream texts like Thomas' Calculus and Stewart, as well as advanced works by Apostol and Rudin, but has not found a suitable alternative to a Greek textbook that includes 75 pages of exercises on improper integrals. They express a need for books that not only cover topics like arithmetical methods, Laplace transforms, and multiple variable functions but also offer a wealth of exercises with solutions. A recommendation is made for Apostol's Calculus Volume 1 and Volume 2, which, while not having a specific focus on improper integrals, provide in-depth coverage of relevant topics and include computational exercises with solutions available.
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I have searched the mainstream books thomas calculus, steward and lots other like apostols,rudin etc.
I was given two books in my college called analysis and applications but it is in greek written by an old local proffessor . It is 1600 pages total 2 volumes..

However the second book has these topics.

Arithmetical Methods

Improper integrals (30 pages theory + 75 pages excercises)
-first,second,third type
-convergence tests
-parametrical improper integrals
-gamma and betta functions

Laplace transform

Series of functions

Two variable functions

Double integrals

Multiple variable functions

However i didnt find any book that has 75 pages with excersices for improper integrals only! Each chapter has tons of excercises.The problem is that most of them don't have solutions.

But couldn't find another book. Searched analysis books but they didnt even mentioned these stuff.Searched calculus and advanced calculus but no luck..

Is there any reccomendation that has lots of excercises with solutions ?
 
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You should reconsider Apostol's Calculus Volume 1 and Volume 2. They cover most of the topics you listed in depth. Although they don't contain 75 pages of exercises on improper integrals, they build up the theory so that you can apply the theory to any suitable problem. There are some computational exercises too, though, most of which contain solutions in the back of the book.
 
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