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This introduction to the differential and integral calculus of functions of several variables offers a rigorous and comprehensive treatment. The classical theorems of vector calculus are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.1986 edition.
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Table of Contents

1. Basic linear algebra and analysis 2. Vector-valued functions of R 3. Real-valued functions of R(superscript m) 4. Vector-valued functions of R(superscript m) 5. Path integrals in R(superscript n) 6. Line integrals in R(superscript n) 7. Double integrals in R(superscript 2) 8. Surfaces in R(superscript 3) 9. Integration over surfaces 10. Triple integrals in R(superscript 3) 11. Differential forms Bibliography Index

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