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

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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.

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