Peter, i edited my question.

Dear Esakki Thirugananam,

Both are equally importance without mathematics there is no existence of any subject..Physicists recognize the mathematicians mentioned in the question better than the general public does.  But mathematicians who developed statistical methods used.Just wondering, what is the general consensus on whether physics or math is a more respectable and "harder" intellectual field I know both can be very hard, but just wanted to know on a simple level. I'm asking this in the same light as how people usually rank the sciences in terms of their  difficulty/pureness/respect level .a lot of the mathematicians you list have made significant contributions to physics. Euler helped developing the Euler-Bernoulli beam equation and made contributions to optics and fluid dynamics. Gauss made contributions to magnetism and optics. Riemann's work helped developing General relativity. I believe Leibniz was one of the first to think that space and time are relative, not absolute (as Newton thought). Vice versa is also somewhat true, since Newton is considered as one of the greatest mathematicians of all time. 

Regards,

Prem Baboo

Physicists and mathematicians  

• Neumann, to a physicist seeking help with a difficult problem: Simple. This can be solved by using the method of characteristics.
• Physicist: I'm afraid I don’t understand the method of characteristics.
• Neumann: In mathematics you don't understand things. You just get used to them. 

— John von Neumann

If you want to be a physicist, you must do three thing -- First, study  mathematics, second, study more mathematics, and third, do the same. -- Arnold Sommerfeld (German Physicist, 1868-1951) in an interview with Paul Kirkpatrick, in "The physicsts" (1978) by Daniel J. Kevles.

Mathematics is a language to express ideas logically while physics is about experiments, solutions and applications to solve problems to address efficiency and effectiveness, productivity to make human life comfortable

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.  — James Clerk Maxwell

They are?

I'm not sure if they are more or less popular.However;may be scientists in other scientific fields are more popular than mathematicians. On the other hand their scientific achievements and popularity could not be achieved without mathematics. 

All depends on the phisics and the mathematics each one are working on. Walter