000 | 00337nam a2200133Ia 4500 | ||
---|---|---|---|
999 |
_c185936 _d185936 |
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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 |