A Garden of Integrals
Frank E. Burk
304pp., hardbound, 2007
While there is in essence only one derivative, there are a variety of integrals, many of which are still in use today. Frank E. Burk's book, A Garden of Integrals, takes an in-depth look at these integrals, which have a long and distinctive history. The book starts with a short look back at some of the mathematicians who have integrals named in their honor and gives an idea of the contributions each man made. Burk then thoroughly examines each integral's basic elements, their similarities and differences, the reasons for their existence, and their various uses.
A Garden of Integrals is meant for advanced undergraduates, graduate students, or faculty members. Even the most experienced faculty member will learn something new in each chapter of this book. Burk, a professor at California State University at Chico, does a wonderful job of lucidly presenting the mathematics and making all of the concepts easy to comprehend. A Garden of Integrals can serve as a reference or supplementary text, or as an exercise book for problems in analysis.R. Miller
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