546 Pages
by
CRC Press
546 Pages
by
CRC Press
546 Pages
by
CRC Press
Also available as eBook on:
Classroom-tested and lucidly written, Multivariable Calculus gives a thorough and rigoroustreatment of differential and integral calculus of functions of several variables. Designed as ajunior-level textbook for an advanced calculus course, this book covers a variety of notions,including continuity , differentiation, multiple integrals, line and surface integrals, differentialforms, and infinite... Read more
1. Some Preliminaries 2. Euclidean Spaces and Linear Transformations 3. Continuous Functions 4. The Derivative 5. The Geometry of Euclidean Spaces 6. Higher Order Derivatives and Taylor's Theorem 7. Compact and Connected Sets 8. Maxima and Minima 9. The Inverse and Implicit Function Theorems 10. Integration 11. Iterated Integrals and the Fubini Theorem 12. Line Integrals 13. Surface Integrals 14. Differential Forms 15. Integration of Differential Forms 16. Infinite Series 17. Infinite Series of Functions
Biography
Corwin, L.
