The study of how continuous mathematical structures (Functions) vary around the Neighborhood of a point on a Surface. Analysis includes Calculus, Differential Equations, etc.
See also Analysis Situs, Calculus, Complex Analysis, Functional Analysis, Nonstandard Analysis, Real Analysis
References
Analysis
Bottazzini, U. The ``Higher Calculus'': A History of Real and Complex Analysis from Euler to Weierstraß.
New York: Springer-Verlag, 1986.
Bressoud, D. M. A Radical Approach to Real Analysis. Washington, DC: Math. Assoc. Amer., 1994.
Ehrlich, P. Real Numbers, Generalization of the Reals, & Theories of Continua. Norwell, MA: Kluwer, 1994.
Hairer, E. and Wanner, G. Analysis by Its History. New York: Springer-Verlag, 1996.
Royden, H. L. Real Analysis, 3rd ed. New York: Macmillan, 1988.
Wheeden, R. L. and Zygmund, A. Measure and Integral: An Introduction to Real Analysis. New York: Dekker, 1977.
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University
Press, 1990.