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008 081108s1996 nyua | 001 0 eng
020 _a0387964053
039 9 _a201402040100
_bVLOAD
_c201007191212
_dmalmash
_c200811091101
_dvenkatrajand
_c200811081346
_dNoora
_y200811081343
_zNoora
050 0 0 _aQA303
_b.L256 1996
100 1 _aLang, Serge,
_d1927-2005.
_91190
245 1 0 _aCalculus of Several Variables /
_cSerge Lang.
250 _a3rd ed.
260 _aNew York :
_bSpringer,
_c1996.
300 _axii, 503, 107, 4 p. :
_bill. ;
_c25 cm.
440 0 _aUndergraduate texts in mathematics
_91191
500 _a"Fourth corrected printing"--T.p. verso.
500 _aIncludes index.
505 _a: Basic Material. 1: Vectors. 2: Differentiation of Vectors. 3: Functions of Several Variables. 4: The Chain Rule and the Gradient. II: Maxima, Minima, and Taylor's Formula. 5: Maximum and Minimum. 6: Higher Derivatives. III: Curve Integrals and Double Integrals. 7: Potential Functions. 8: Curve Integrals. 9: Double Integrals. 10: Green's Theorem. IV: Triple and Surface Integrals. 12: Triple Integrals. V: Mappings, Inverse Mappings, and Change of Variables Formula. 13: Matrices. 14: Linear Mappings. 15: Determinants. 16: Applications to Functions of Several Variables. 17: The Change of Variables Formula. Appendix: Fourier Series.
520 _aThis is a new, revised edition of this widely known text. All of the basic topics in calculus of several variables are covered, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green's theorem, multiple integrals, surface integrals, Stokes' theorem, and the inverse mapping theorem and its consequences. The presentation is self-contained, assuming only a knowledge of basic calculus in one variable. Many completely worked-out problems have been included.
650 0 _aCalculus.
_9921
650 0 _aFunctions of several real variables.
_918191
942 _2lcc
_n0
_cBK
999 _c7007
_d7007