000			01498pam a22002174a 4500
001			0000065902
003			0001
008			141224s2003 maua b 001 0 eng
020			_a3764342749
082	0	0	_a515.64
084			_a515.64 _bGUZ-D
100	1		_aGuzman, Alberto, _d1947-
245	1	0	_aDerivatives and integrals of multivariable functions / _cAlberto Guzman.
260			_aBoston : _bBirkh©nuser, _cc2003.
300			_ax, 319 p. : _bill. ; _c24 cm.
520			_aThis work provides a systematic examination of derivatives and integrals of multivariable functions. The approach taken here is similar to that of the author’s previous text, "Continuous Functions of Vector Variables": specifically, elementary results from single-variable calculus are extended to functions in several-variable Euclidean space. Topics encompass differentiability, partial derivatives, directional derivatives and the gradient; curves, surfaces, and vector fields; the inverse and implicit function theorems; integrability and properties of integrals; and the theorems of Fubini, Stokes, and Gauss. Prerequisites include background in linear algebra, one-variable calculus, and some acquaintance with continuous functions and the topology of the real line.
521			_aAll.
650		0	_aCalculus of variations.
650		0	_aFunctional analysis.
852			_p48904 _97522.69 _h515.64 GUZ-D _vCapital Books Co. _bGround Floor _dBooks _t1 _q1-New _aJZL-CUI
999			_c93195 _d93195