000 | 02081cam a2200277 a 4500 | ||
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001 | vtls000001675 | ||
003 | VRT | ||
005 | 20250102223155.0 | ||
008 | 081108s1996 nyua | 001 0 eng | ||
020 | _a0387964053 | ||
039 | 9 |
_a201402040100 _bVLOAD _c201007191212 _dmalmash _c200811091101 _dvenkatrajand _c200811081346 _dNoora _y200811081343 _zNoora |
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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. |
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300 |
_axii, 503, 107, 4 p. : _bill. ; _c25 cm. |
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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 |
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942 |
_2lcc _n0 _cBK |
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999 |
_c7007 _d7007 |