000			01549cam a2200217 a 4500
001			14089210
010			_a 2005053704
020			_a0486445488
082	0	0	_a515 _bBRA/A
100	1		_aBrand, Louis,
245	1	0	_aAdvanced calculus :
260			_aMineola, N.Y. : _bDover Publications, _c2006.
300			_axii, 574 p. : _bill. ;
500			_a"An unabridged republication of the 1967 revised printing of the work first published by John Wiley & Sons, Inc., New York, 1955"--T.p. verso.
500			_aIncludes index.
520			_aA course in analysis that focuses on the functions of a real variable, this text is geared toward upper-level undergraduate students. It introduces the basic concepts in their simplest setting and illustrates its teachings with numerous examples, practical theorems, and coherent proofs. Starting with the structure of the system of real and complex numbers, the text deals at length with the convergence of sequences and series and explores the functions of a real variable and of several variables. Subsequent chapters offer a brief and self-contained introduction to vectors that covers important aspects, including gradients, divergence, and rotation. An entire chapter is devoted to the reversal of order in limiting processes, and the treatment concludes with an examination of Fourier series.
650		0	_aCalculus _aMathematics
856	4	2	_uhttp://www.loc.gov/catdir/enhancements/fy0662/2005053704-d.html
856	4	1	_uhttp://www.loc.gov/catdir/enhancements/fy1318/2005053704-t.html
942			_cBK
999			_c66601 _d66601