<< so is there any intel processor that can perform better in maths calculation then athlon xp ? xeon ? itanium ? etc....... ? >>
That is a very loaded question. The answer will vary significantly with each program you use. So instead of answering it directly I'll post some things related to your question. (I won't mention the slower processors to keep this to a reasonable length).
1) At the moment, AMD sells the Athlon XP and Athlon MP. The XP is meant for single processor machines and the MP is meant for dual processor machines. They have the same core and operate at at the same speed when used in single processor machines.
2) Intel sells the P4 and the Intel Xeon. The Intel Xeon is meant for dual processor machines and the P4 is meant for single processor machines. The Intel Xeon has the same core as the P4 so one Intel Xeon performs the same as one P4.
3) If you have a math calculation program that can only use one processor, then your choice is significantly narrowed. At the moment you have the Athlon XP and the P4 to choose from. See my post above for average benchmarks for these.
4) If you have a math calculation program that can use multiple processors then you have lots to choose from.
5) Each program is different, but on average I'd use this rule: a multiprocessor machine runs X times faster than a single processor machine. Where X=SUM(i=1 to N) [0.85^(i-1)] and where N is the number of processors in the machine. I hope that formula makes sense to you. The constant I used, 0.85, will vary widely from program to program, but 0.8 is a good starting point.
6) If you know the speed you need to obtain (X), then you can solve for the number of processors you need (N).
7) If N=1 then you get the Athlon XP or the P4.
8) If N=2 then you get the Athlon MP or the Intel Xeon.
9) If N>2 then you have a tough choice. At the moment there are no AMD processors that can be put in a N>3 machine. Intel has three options. A) the Pentium 3 Xeon can handle 8 processors. B) the Intel Xeon MP can handle up to 8 processors - but 4 is the current limit since it is so new, C) the Itanium can handle as many processors as you want in a single super-computer.
10) Note: the P3 Xeon, and Intel Xeon MP do not run as fast as the best Athlon XP or the best P4 since their frequencies are much lower. The P3 Xeon maximum is 1GHz if N>2, the Intel Xeon MP maximum is 1.6 GHz and the Itanium maximum is 800 MHz. The Itanium is so different that at 800 MHz its math speed isn't too bad (although it isn't spectacular either). So if you calculated that you needed three 2.4 GHz P4's then you will need to buy about five Xeon MPs or about eight P3 Xeons.
11) If you need to run 64-bit programs, then the Itanium will shine. This is since the others will perform miserably at 64-bit programs. Go the Itanium route if N>8 or if you need to use 64-bit programs. However it has suffered from a lack of industry acceptance (these people would rather have Sun, SGI, etc). Also rumors of the Itanium 2's abilities have made the industry avoid Itanium. So Itanium is a flop so far.
Future processors (in order of release date):
1) In about 1-2 months a 1.0 GHz Itanium 2 will be released. It is supposed to be double the performance of the current Itanium (more with recompiled programs). This might finally gain industry acceptance. Or it might be a flop like the first. I fully expect Itanium 2 to shatter math calculation speed records at its release. But with industry heavilly invested in other proprietary solutions, they might still be unwilling to switch.
2) AMD will eventually have a new line of processors. These are codenamed Clawhammer for 1-2 processor computers (available sometime around the end of this year, no specific date is known for certain). The Clawhammer can run 64-bit programs. So if N<3 and you need 64-bit programs, then Itanium is a waste of money.
3) Sometime in the first half of 2003, AMD will release its Sledgehammer. The Sledgehammer will be AMD's first chip that allows N>2. Its maxium N will be eight. Sledgehammer is also 64-bit, so you can use 64-bit programs.
4) At about the same time as the Sledgehammer is released the Itanium 3 (it might have a different name) will be released. It should again be almost double the speed of Itanium 2. Thus if Intel stays on track, it will be 4 times as fast as the current Itanium for the same price. This begs the question, will industry buy Itanium 2 if Itanium 3 is just a year away? Intel's speed doubling every year is great if you need speed, but Intel shoots itself in the foot in the process...
Final complications:
1) If N>2 you MIGHT be able tol use single or dual processor machines. If you have a high speed connection between computers you can form a cluster of cheap machines. This cluster may outperform N>3 machines at a significantly lower price.
2) There are always Sun, SGI, and other proprietary processors also availble. I think their cost is just too high for the performance you get.