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)

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) / by Paul J. Nahin.

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 integra...

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Bibliographic Details
Main Author: Nahin, Paul J. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Undergraduate Lecture Notes in Physics,
Springer eBook Collection.
Subjects:
Physics.
Integral transforms.
Operational calculus.
Applied mathematics.
Engineering mathematics.
Sequences (Mathematics).
Integral equations.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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.

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