Overview
- New edition with 25 added challenge problems and solutions and 25 new worked examples
- A "recipe book" with many valuable little-known integration techniques
- Written with an accessible and easy-to-follow style by acclaimed popular science author and engineering professor Paul Nahin
- Includes rarely-taught problem solving techniques including Feynman's favorite: differentiation under the integral
- Features worked-out and thoroughly explained practice problems
Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)
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About this book
What’s the point of calculating definite integrals since you can’t possibly do them all?
What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.
This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
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Table of contents (9 chapters)
Authors and Affiliations
About the author
Paul J. Nahin is professor emeritus of electrical engineering at the University of New Hampshire. He is the author of 21 books on mathematics, physics, and the history of science, published by Springer, and the university presses of Princeton and Johns Hopkins. He received the 2017 Chandler Davis Prize for Excellence in Expository Writing in Mathematics (for his paper “The Mysterious Mr. Graham,” The Mathematical Intelligencer, Spring 2016). He gave the invited 2011 Sampson Lectures in Mathematics at Bates College, Lewiston, Maine.
Bibliographic Information
Book Title: Inside Interesting Integrals
Book Subtitle: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Hundreds of Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus Numerous Challenge Problems with Complete, Detailed Solutions)
Authors: Paul J. Nahin
Series Title: Undergraduate Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-030-43788-6
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-43787-9Published: 28 June 2020
eBook ISBN: 978-3-030-43788-6Published: 27 June 2020
Series ISSN: 2192-4791
Series E-ISSN: 2192-4805
Edition Number: 2
Number of Pages: XLVII, 503
Number of Illustrations: 48 b/w illustrations
Topics: Mathematical Methods in Physics, Mathematical and Computational Engineering, Real Functions, Sequences, Series, Summability, Functions of a Complex Variable