Mathematical analysis 3 06-DANALM3
The aim of the course of Mathematical Analysis 3 is to present the theory differentiation and integration of functions of several variables as well as some applications to geometry, mechanics, and field theory.
During the course students should learn how to differentiate and integrate functions of several variables. Moreover, they should learn how to apply these notions to carry out approximate calculations, to find extrema of multivariable functions, and to calculate various geometrical and mechanical quantities. They should also get acquinated with elements of field theory and beta and gamma Eulers functions.
Course coordinators
Bibliography
T. M. Apostol, Mathematical Analisis, Addison-Wesley Publ. Co., Reading 1974.
R. Courant, Differential and Integral Calculus, Vols. 1 and 2, John Wiley & Sons, Inc., New York 1988.
S. M. Nikolskii, A Course of Mathematical Analysis, Vols. 1 and 2, Nauka, Moscow 1990.
W. Rudin, Principles of Mathematical Analisis, McGraw-Hill, New York, 1976.
M. Spivak, Calculus on Manifolds: a Modern Approach to the Classical Theorems of Advanced Calculus, W. A. Benjamin Inc., New York 1965.
V. A. Zorich, Mathematical Analysis, Vols. 1 and 2, Springer-Verlag, Berlin 2004.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: