TY  - BOOK
AU  - Lang, Serge
TI  - Calculus of several variables
SN  - 9781461210689
U1  - 515.8 
PY  - 1979///
CY  - California
PB  - Addison-Wesley publishing company
KW  - Functions of several real variables
KW  - Calculus
KW  - Mathematics
KW  - Fourier series
KW  - Differential equation
N1  - Includes index
N2  - The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, §1. This forms a coherent whole.


https://link.springer.com/book/10.1007/978-1-4612-1068-9#toc
ER  -