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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)

Authors:

  • New edition with 25 added challenge problems and solutions and 25 new worked examples

  • 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

  • Features worked-out and thoroughly explained practice problems

Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)

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eBook USD 44.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-43788-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 59.99
Price excludes VAT (USA)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xlvii
  2. Introduction

    • Paul J. Nahin
    Pages 1-58
  3. ‘Easy’ Integrals

    • Paul J. Nahin
    Pages 59-99
  4. Feynman’s Favorite Trick

    • Paul J. Nahin
    Pages 101-148
  5. Gamma and Beta Function Integrals

    • Paul J. Nahin
    Pages 149-180
  6. Using Power Series to Evaluate Integrals

    • Paul J. Nahin
    Pages 181-226
  7. Some Not-So-Easy Integrals

    • Paul J. Nahin
    Pages 227-274
  8. Contour Integration

    • Paul J. Nahin
    Pages 351-422
  9. Epilogue

    • Paul J. Nahin
    Pages 423-448
  10. Back Matter

    Pages 449-503

About this book

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, now in its second edition, 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. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion. 

Keywords

  • Differentiation Under the Integral
  • Dirichlet Integral
  • Euler Log-sine Integral
  • Feynman Integral
  • Integration Methods
  • Integration Techniques
  • Leibnitz Formula
  • Lesbesque Integral
  • Riemann Integral
  • Symbolic Integration

Authors and Affiliations

  • Department of Electrical Engineering, University of New Hampshire, Durham, USA

    Paul J. Nahin

About the author

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.


Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • ISBN: 978-3-030-43788-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 59.99
Price excludes VAT (USA)