TY - BOOK AU - Courant, R. TI - Differential and integral calculus SN - 9780471608400 U1 - 515 PY - 2014/// CY - New York PB - Wiley-Interscience KW - Calculus KW - Calculus, Integral KW - Differential calculus N1 - v. 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 ER -