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Titlebook: Inside Interesting Integrals; A Collection of Snea Paul J. Nahin Textbook 20151st edition Springer Science+Business Media, LLC, part of Spr

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发表于 2025-3-21 19:32:35 | 显示全部楼层 |阅读模式
书目名称Inside Interesting Integrals
副标题A Collection of Snea
编辑Paul J. Nahin
视频video
概述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.Incl
丛书名称Undergraduate Lecture Notes in Physics
图书封面Titlebook: Inside Interesting Integrals; A Collection of Snea Paul J. Nahin Textbook 20151st edition Springer Science+Business Media, LLC, part of Spr
描述.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 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..
出版日期Textbook 20151st edition
关键词Differentiation Under the Integral; Dirichlet Integral; Euler Log-sine Integral; Feynman Integral; Integ
版次1
doihttps://doi.org/10.1007/978-1-4939-1277-3
isbn_ebook978-1-4939-1277-3Series ISSN 2192-4791 Series E-ISSN 2192-4805
issn_series 2192-4791
copyrightSpringer Science+Business Media, LLC, part of Springer Nature 2015
The information of publication is updating

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发表于 2025-3-21 21:29:52 | 显示全部楼层
,Feynman’s Favorite Trick, the integral.where α is the so-called . of the integral (. the dummy variable of integration which is, of course, x), then we wish to calculate the derivative of I with respect to α. We do that in just the way you’d expect, from the very definition of the derivative:
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发表于 2025-3-22 05:24:30 | 显示全部楼层
,‘Easy’ Integrals,You should always be alert, when confronted by a definite integral, for the happy possibility that although the integral might look ‘interesting’ (that is, hard!) just . it will still yield to a direct, frontal attack. The first six integrals in this chapter are in that category. If a and b are positive constants, calculate:. and . and . and
发表于 2025-3-22 10:49:47 | 显示全部楼层
发表于 2025-3-22 15:30:26 | 显示全部楼层
Seven Not-So-Easy Integrals,As I mentioned in the Preface, in 1697 John Bernoulli evaluated the exotic-looking integral
发表于 2025-3-22 18:02:20 | 显示全部楼层
Using , to Evaluate Integrals,The use of . to compute integrals is nicely illustrated with a quick example. Let’s use . to do
发表于 2025-3-22 23:07:41 | 显示全部楼层
Paul J. NahinA "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.Incl
发表于 2025-3-23 05:17:42 | 显示全部楼层
Undergraduate Lecture Notes in Physicshttp://image.papertrans.cn/i/image/467781.jpg
发表于 2025-3-23 07:24:18 | 显示全部楼层
https://doi.org/10.1007/978-1-4939-1277-3Differentiation Under the Integral; Dirichlet Integral; Euler Log-sine Integral; Feynman Integral; Integ
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