Serge Lang
Springer New York
3e druk, 1996
9780387964058
Calculus of Several Variables
Specificaties
Gebonden, 619 blz.
|
Engels
Springer New York |
3e druk, 1996
ISBN13: 9780387964058
Rubricering
Onderdeel van serie
Undergraduate Texts in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780387964058
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:619
Uitgever:Springer New York
Druk:3
Inhoudsopgave
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.