000			00337nam a2200133Ia 4500
999			_c185936 _d185936
020			_a9780471608400
040			_cCUS
082			_a515 _bCOU/D
100			_aCourant, R.
245		0	_aDifferential and integral calculus/ _cR. Courant
260			_aNew York: _bWiley-Interscience, _c2014.
300			_a2 v. (x, 682 p.) ; _c23 cm.
505			_av. 1. Differential and integral calculus -- Introduction -- The fundamental ideas of the integral and differential calculus -- Differentiation and integration of the elementary functions -- Further development of the integral calculus -- Applications -- Taylor's theorem and the approximate expression of functions by polynomials -- Numerical methods -- Infinite series and other limiting processes -- Fourier series -- A sketch of the theory of functions of several variables -- The differential equations for the simplest types of vibration -- Summary of important theorems and formulae -- Miscellaneous examples -- Answers and hints -- v. 2. Preliminary remarks on analytical geometry and vector analysis -- Functions of several variables and their derivatives -- Developments and applications of the differential calculus -- Multiple integrals -- Integration over regions in several dimensions -- Differential equations -- Calculus of variations -- Functions of a complex variable -- Supplement: real numbers and the concept of limit -- Miscellaneous examples -- Summary of important theorems and formulae -- Answers and hints.
650			_aCalculus
650			_aCalculus, Integral
650			_aDifferential calculus
942			_cWB16