Table of contents for Multivariate calculus and geometry / Sean Dineen.


Bibliographic record and links to related information available from the Library of Congress catalog


Information from electronic data provided by the publisher. May be incomplete or contain other coding.


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1. Introduction to Differentiable Functions.- 2. Level Sets and Tangent Spaces.- 3. Lagrange Multipliers.- 4. Maxima and Minima on Open Sets.- 5. Curves in Rn.- 6. Line Integrals.- 7. The Frenet-Serret Equations.- 8. Geometry of Curves in R3.- 9. Double Integration.- 10. Parametrised Surfaces in R3.- 11. Surface Area.- 12. Surface Integrals.- 13. Stokes'Theorem.- 14. Triple Integrals.- 15. The Divergence Theorem.- 16. Geometry of Surfaces in R3.- 17. Gaussian Curvature.- 18. Geodesic Curvature.- Solutions.- Index.


Library of Congress subject headings for this publication:
Calculus.
Geometry.