Differential and integral calculus/
Courant, R.
Differential and integral calculus/ R. Courant - New York: Wiley-Interscience, 2014. - 2 v. (x, 682 p.) ; 23 cm.
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.
9780471608400
Calculus
Calculus, Integral
Differential calculus
515 / COU/D
Differential and integral calculus/ R. Courant - New York: Wiley-Interscience, 2014. - 2 v. (x, 682 p.) ; 23 cm.
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.
9780471608400
Calculus
Calculus, Integral
Differential calculus
515 / COU/D