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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 virtually all the exercises from the textbook (6th edition).  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 (105 MB), click on the "Combined Solutions" link below.  Also, additional explanatory notes for certain sections in the book are also provided for download (click on "Notes on Textbook" below).

Combined Solutions

Notes on Textbook

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