Abstract
Our goal in this book is to understand and work with integrals of functions of several variables. As we show, the integrals we already know from the introductory calculus courses give us a basis for the understanding we need. The key idea for our future work is change of variables. In this chapter, we review how we use a change of variables to compute many one-variable integrals as well as path integrals and certain double integrals that can be evaluated by making a change from Cartesian to polar coordinates.
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© 2010 Springer New York
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Callahan, J.J. (2010). Starting Points. In: Advanced Calculus. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7332-0_1
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DOI: https://doi.org/10.1007/978-1-4419-7332-0_1
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-7331-3
Online ISBN: 978-1-4419-7332-0
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