Starting Points

  • James J. CallahanEmail author
Part of the Undergraduate Texts in Mathematics book series (UTM)


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.


Constant Force Path Integral Total Work Normal Random Variable Oriented Path 
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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsSmith CollegeNorthamptonUSA

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