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Cover of Vector Calculus, 6th edition, by Marsden & Tromba  Vector Calculus, by Jerrold E. Marsden & Anthony Tromba

The downloadable files below, in PDF format, contain answers to the 6th edition, from virtually all the exercises for chapters 1 - 3 and all the exercises for chapters 4 - 8.  To download an individual chapter PDF file to your computer, click on a chapter heading below, and then save the file when prompted.  Or, to download the entire solution set in one file (66 MB), click on the "Combined Solutions" link below.

NOTE:  In compliance with copyright law, no portion of the text was copied and inserted into the solution files.  Problems and solutions are numbered according to the text, but please refer to the text for the explicit statement of the problem.

Combined Solutions

Chapter 1 - The Geometry of Euclidean Space

Chapter 2 - Differentiation

Chapter 3 - Higher-Order Derivatives: Maxima and Minima

Chapter 4 - Vector-Valued Functions

Chapter 5 - Double and Triple Integrals

Chapter 6 - The Change of Variables Formula and Applications of Integration

Chapter 7 - Integrals Over Paths and Surfaces

Chapter 8 - The Integral Theorems of Vector Calculus