Inside interesting integrals : 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) / Paul J. Nahin.
2020
QA308
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Title
Inside interesting integrals : 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) / Paul J. Nahin.
Author
Edition
2nd ed.
ISBN
9783030437886 (electronic book)
3030437884 (electronic book)
9783030437879
3030437876
3030437884 (electronic book)
9783030437879
3030437876
Published
Cham : Springer, 2020.
Language
English
Description
1 online resource (xlvii, 503 pages) : illustrations.
Item Number
10.1007/978-3-030-43
Call Number
QA308
Dewey Decimal Classification
530.15
Summary
Whats the point of calculating definite integrals since you cant possibly do them all? What makes doing the specific integrals in this book of value arent the specific answers well obtain, but rather the methods well 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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Series
Undergraduate lecture notes in physics.
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Table of Contents
From the Contents: Preface
Introduction
'Easy Integrals
Feynmans Favorite Trick
Gamma and Beta Function Integrals
Using Power Series to Evaluate Integrals
Seven Not-So-Easy Integrals
Using √(-1) to Evaluate Integrals
Contour Integration
Epilogue
Solutions to the Challenge Problems.
Introduction
'Easy Integrals
Feynmans Favorite Trick
Gamma and Beta Function Integrals
Using Power Series to Evaluate Integrals
Seven Not-So-Easy Integrals
Using √(-1) to Evaluate Integrals
Contour Integration
Epilogue
Solutions to the Challenge Problems.