book for studying various interpolation

Question

Please recommend me a good book to study interpolation techniques such as polynomial interpolation, cubic, spline interpolations, if possible tell me the branch of mathematics that deals with this subject. I want to go in depth with this topic.

Answer 1

The topics mentioned above are usually dealt under numerical analysis. Some of the textbooks are:

1. S.D.Conte and C.deBoor, Elementary Numerical Analysis-an algorithmic approach, 3rd Edn., McGraw Hill, 1980.

2. K. E. Atkinson, An Introduction to Numerical Analysis, 2nd Edn., John Wiley, 1989.

3. C.deBoor, A practical guide to splines.

Answer 2

Numerical Recipes is a highly recommended classic. I personally know working physicists who use it whenever they need some numerical work done:

http://numerical.recipes/oldverswitcher.html