000			01575nam a2200229 4500
008			220716b |||||||| |||| 00| 0 eng d
020			_a9781461210689
082			_a515.8 _bLAN
100			_aLang, Serge
245			_aCalculus of several variables
250			_a2nd ed.
260			_aCalifornia: _bAddison-Wesley publishing company, _c1979.
300			_axii, 479p.; _bhbk; _c25cm.
504			_aIncludes index
520			_aThe present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole. https://link.springer.com/book/10.1007/978-1-4612-1068-9#toc
650			_aFunctions of several real variables
650			_aCalculus
650			_aMathematics
650			_aFourier series
650			_aDifferential equation
942			_2ddc _cTD
999			_c57037 _d57037