Multivariable Calculus

ISBN-13: 9780824769628 / Angielski / Twarda / 1982 / 546 str.

L. Corwin; R. Szczarba; Lawrence J. Corwin

Opis

This book provides an introduction to calculus of functions of several variables. It covers the notions including continuity, differentiation, multiple integrals, line and surface integrals, differential forms, and infinite series. The book is intended for use in an advanced calculus course.

Spis treści

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

O autorze

Corwin\, L.