Any good books on gamma functions

In summary, there are several textbooks available for gamma functions and evaluating integrals, including Abramowitz & Stegun's "Handbook of Mathematical Functions" and the NIST "Handbook of Mathematical Functions". Another useful reference is Gradshteyn & Ryzhik's "Table of Integrals, Series, and Products". These resources can be found online or in most college libraries.
  • #1
Mathmanman
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Are there any good textbooks for gamma functions? Explaining them?
Because I need to evaluate stuff like ∫e^x^3 dx or ∫sin(x^2) dx
 
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  • #3
Mathmanman said:
Are there any good textbooks for gamma functions? Explaining them?
Because I need to evaluate stuff like ∫e^x^3 dx or ∫sin(x^2) dx

Abramowitz & Stegun's "Handbook of Mathematical Functions" was the standard reference for a number of years:

http://people.math.sfu.ca/~cbm/aands/

For people who are interested in a more recent reference, there is the NIST "Handbook of Mathematical Functions"

https://www.amazon.com/dp/0521140633/?tag=pfamazon01-20

I'm sure if you search the web, you'll probably run across a copy of the latter work somewhere.

For a rather extensive reference on integrals of various functions, Gradshteyn & Ryzhik's "Table of Integrals, Series, and Products" is very handy to have. It should be available in most college libraries.
 
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Related to Any good books on gamma functions

1. What is a gamma function and why is it important?

A gamma function is a mathematical function that extends the factorial function to non-integer numbers. It is important in many areas of mathematics, including number theory, statistics, and physics.

2. Can you recommend any books that cover gamma functions in depth?

Yes, there are several books that cover gamma functions in depth, such as "An Introduction to the Theory of the Gamma Function" by B.C. Berndt, "Gamma: Exploring Euler's Constant" by Julian Havil, and "Special Functions: A Graduate Text" by Richard Beals.

3. Are there any books specifically focused on applications of gamma functions?

Yes, "Applications of the Gamma and Beta Functions" by Richard A. Askey and Mourad E.H. Ismail is a comprehensive book that covers various applications of gamma functions, including in probability, statistics, and number theory.

4. Do I need a strong background in mathematics to understand books on gamma functions?

While a strong background in mathematics would certainly be helpful, there are books on gamma functions that cater to different levels of mathematical knowledge. Some books, like "Gamma: Exploring Euler's Constant" by Julian Havil, are more accessible to general readers without extensive mathematical training.

5. Can you suggest any online resources for learning about gamma functions?

Yes, there are many online resources available for learning about gamma functions, such as Khan Academy, Wolfram MathWorld, and various YouTube channels that specialize in mathematics. Additionally, many universities offer free online courses on topics related to gamma functions.

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