Two-Dimensional Calculus by Robert Osserman
My rating: 4 of 5 stars
The book begins with vector basics as a natural launching point for the geometric focus. In the final chapters focusing on the double integral, this planar thinking will be especially enlightening for students nonplussed by centroids, moments, etc. Of course, the assessment of the area of a closed curve is the book’s introduction of the integral and this naturally leads to the double integral representing volume with appropriate illustrations continuing the geometric theme. This approach is comparable to that taken in An Introduction to Modern Calculus (Maak, 1963) which I feel is also worth a reprint edition. Each chapter concludes with exercises. For many of these, answers are provided in the back of the book. This is a self-contained work excellent for self-study or as an adjunct text for the undergraduate approaching this level of calculus.
[Look for my whole review to be posted at MAA Reviews: http://mathdl.maa.org/mathDL/19/]
View all my reviews
No comments:
Post a Comment