James Marsden and Michael Tromba are both renowned mathematicians with expertise in vector calculus, differential equations, and mathematical physics. James Marsden is a professor of mathematics at the University of California, Berkeley, and Michael Tromba is a professor of mathematics at the University of California, Santa Cruz.

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Marsden and Tromba's "Vector Calculus" is a popular textbook that provides a comprehensive introduction to vector calculus, a fundamental subject in mathematics and physics. The book covers topics such as vector fields, differential forms, and differential equations, and is widely used in undergraduate and graduate courses.