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.
The topics mentioned above are usually dealt under numerical analysis. Some of the textbooks are:
- S.D.Conte and C.deBoor, Elementary Numerical Analysis-an algorithmic approach, 3rd Edn., McGraw Hill, 1980.
K. E. Atkinson, An Introduction to Numerical Analysis, 2nd Edn., John Wiley, 1989.
C.deBoor, A practical guide to splines.
Numerical Recipes is a highly recommended classic. I personally know working physicists who use it whenever they need some numerical work done: