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)

AvPaul J. Nahin

Häftad, Engelska, 2020

Del i serien Undergraduate Lecture Notes in Physics

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Beskrivning

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;

Produktinformation

Utgivningsdatum:2020-06-28
Mått:155 x 235 x 47 mm
Vikt:836 g
Format:Häftad
Språk:Engelska
Serie:Undergraduate Lecture Notes in Physics
Antal sidor:503
Upplaga:2
Förlag:Springer Nature Switzerland AG
ISBN:9783030437879

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Mer om författaren

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.

Innehållsförteckning

From the Contents: Preface.- Introduction.- ‘Easy’ Integrals.- Feynman’s 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.