Calculus of Several Variables (3rd Ed., 3rd ed. 1987. Corr. 4th printing 1996) Undergraduate Texts in Mathematics Series
Langue : Anglais
Auteur : Lang Serge
This new, revised edition covers all of the basic topics in calculus of several variables, 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. It includes many completely worked-out problems.
I: 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.
Date de parution : 10-2012
Ouvrage de 619 p.
15.5x23.5 cm
Mots-clés :
Fourier series; calculus; derivative; differential equation; maximum; minimum
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