I am preparing for IIT (Indian Institute of Technology) Entrance Examination. The Maths paper in IIT is generally very tuff(cut off marks are 40/180). Can some suggest some good books on calculus(including limits continuity & differentiability), probability and algebra. I am using Thomas calculus at present, it's a great book but the level of problems is not so good.
If someone wants he could see the IIT Maths paper at http://www.amity.edu/aice/02-IIT%20Screening-2006%20(Maths).pdf
As you could see most of the problems were conceptual in nature. One could solve the paper iff his/her concepts are clear.
Would someone like to comment on the paper, how should i prepare for it?