Author | Lang, Serge. author |
---|---|
Title | Calculus of Several Variables [electronic resource] / by Serge Lang |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1987 |
Edition | Third Edition |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1068-9 |
Descript | XII, 619 p. online resource |
One Basic Material -- I Vectors -- II Differentiation of Vectors -- III Functions of Several Variables -- IV The Chain Rule and the Gradient -- Two Maxima, Minima, and Taylorโs Formula -- V Maximum and Minimum -- VI Higher Derivatives -- Three Curve Integrals and Double Integrals -- VII Potential Functions -- VIII Curve Integrals -- IX Double Integrals -- X Greenโs Theorem -- Four Triple and Surface Integrals -- XI Triple Integrals -- XII Surface Integrals -- Five Mappings, Inverse Mappings, and Change of Variables Formula. -- XIII Matrices -- XIV Linear Mappings -- XV Determinants -- XVI Applications to Functions of Several Variables -- XVII The Change of Variables Formula -- Appendix Fourier Series -- ยง1. General Scalar Products -- ยง2. Computation of Fourier Series -- Answers to Exercises