Inside Interesting Integrals
A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and Devilishly Seductive Maneuvers for Computing Nearly 200 Perplexing Definite Integrals From Physics, Engineering, and Mathematics (Plus 60 Challenge Problems with Complete, Detailed Solutions)
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Beschreibung
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.
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.
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
With worked-out and thoroughly explained practice problems
Autor*in
Paul J. Nahin
Themen in »Inside Interesting Integrals«
Differentiation Under the Integral Dirichlet Integral Euler Log-sine Integral Feynman Integral Integration Methods Integration Techniques Leibnitz Formula Lesbesque Integral Riemann Integral Symbolic Integration
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“The main purpose of the author is not to calculate specific integrals and obtain specific answers, but to present several tricks and methods which are used to obtain those answers. … The book is published in the series Undergraduate Lecture Notes in Physics and it will probably be physicists and students of physics who will be the majority of its readers. … mathematicians also may find many interesting things there.” (Krzysztof Ciesielski, Mathematical Reviews, July, 2015)
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