# Calculus A Book on Methods of Integration

1. Oct 4, 2017

### Moayd Shagaf

Is there a book that can teach me every single method of integration (except Ryzhik) and Special Functions (Bessel,Hermite,Legendre ,Spherical Harmonics). since I'll be use it in QFT ,It will be very useful to have strong in Bessel Functions and Others Functions and Integrals.

2. Oct 4, 2017

### Dr Transport

if it isn't in Ryzhik, it pretty much can't be done analytically......

3. Oct 4, 2017

### Moayd Shagaf

Is Ryzhik Complete?

4. Oct 4, 2017

### Dr Transport

about as complete as anything I have ever found....

5. Oct 4, 2017

### Moayd Shagaf

Then Ok, Thanks I'll go with it! since it a complete guide to Bessel F.

6. Oct 5, 2017

### vanhees71

I've no clue, what "complete" means. For perturbative QFT the single most important functions is the $\Gamma$ function and all kinds of dilogarithms like Spence's functions.

7. Oct 6, 2017

### Demystifier

That's a frequent mistake of beginners, in anything. They want to have a single book (a "Bible") which contains all one needs to know about the given subject. But there is never such a book, on anything.

8. Oct 16, 2017

### zaheymae

there is a book of M.A.ABRAMWITZ handbook of mathematical function and G.N.WATSON t

9. Nov 1, 2017

### Ssnow

This is a large collection of methods and results: " Inside Interesting Integrals " of Paul J. Nahin, Springer.
Ssnow

10. Nov 1, 2017

### Moayd Shagaf

Thanks Guys

11. Nov 1, 2017

### George Jones

Staff Emeritus
Hmmm ... there are two authors of this book. You spelled the name of one of the authors incorrectly and neglected the other author completely (shades of Cohen-Tannoudji, Diu, and Laloe).

There are links to free legal copies of Abramowitz and Stegun at the bottom of

https://en.wikipedia.org/wiki/Abramowitz_and_Stegun

12. Nov 1, 2017

### Moayd Shagaf

Thanks George, I think this is best thing that having a free book like that.