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.
Author(s): Paul J. Nahin (auth.)
Series: Undergraduate Lecture Notes in Physics
Edition: 1
Publisher: Springer-Verlag New York
Year: 2015
Language: English
Pages: 412
Tags: Mathematical Methods in Physics; Integral Transforms, Operational Calculus; Appl.Mathematics/Computational Methods of Engineering; Sequences, Series, Summability; Integral Equations
Front Matter....Pages i-xxiii
Introduction....Pages 1-41
‘Easy’ Integrals....Pages 43-71
Feynman’s Favorite Trick....Pages 73-116
Gamma and Beta Function Integrals....Pages 117-147
Using Power Series to Evaluate Integrals....Pages 149-185
Seven Not-So-Easy Integrals....Pages 187-223
Using − 1 $$ \sqrt{-1} $$ to Evaluate Integrals....Pages 225-278
Contour Integration....Pages 279-341
Epilogue....Pages 343-367
Back Matter....Pages 369-412