---
product_id: 48815845
title: "Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... (Undergraduate Lecture Notes in Physics)"
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---

# Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... (Undergraduate Lecture Notes in Physics)

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Buy Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... (Undergraduate Lecture Notes in Physics) Illustrated by Nahin, Paul J. (ISBN: 9781493912766) from desertcart's Book Store. Everyday low prices and free delivery on eligible orders.

Review: A brilliant book. Hugely enjoyable. - What is one to make of a book on how to do the trickier integrals? I spent hundreds of hours learning such things in my youth (at Cambridge University in the late 1960s), but what is the point today? Mathematica and similar software is still much better, certainly much faster, than I am. Part of the reason is easily discovered by playing with MSE for a while (math.stackexchange.com for the uninitiated). Jack d'Aurizio is much better than Mathematica, whilst countless students struggle to figure out what on earth is going on and could clearly make little effective use of Mathematica. Nonetheless, Paul Nahin goes rather further than they need and certainly far further than most of them would want. There is also the question of how his book compares with: (1) Irresistible Integrals; or (2) a more straightforward presentation of integration such as one might find in any number of standard textbooks; or (3) with some of the more specialised presentations such as the books on geometric algebra or (my favourite) Shilov & Gurevich Integral, Measure and Derivative. I bought Irresistible Integrals first and will try to review it separately. It is misleading. It states prominently in the Preface that "the original idea was ... to write a text in which we would prove eveery formula in Table of Integrals, Series and Products by Gradshteyn & Rhyzik (the standard reference work from the era before math software became ubiquitous, and still useful). Actually, it presents a rather laid-back collection of useful techniques with much emphasis on using Mathematica for "exploration". The dunces on MSE would find it much easier going than Nahin's book. They would also dislike Nahin because he generally does not bother to state the obvious. Exactly how some technique can be justified, well those boring details are for you to fill in. By the same token there is little overlap between Nahin and the typical College text. He assumes you already know how integrals are defined, and have met (or can easily figure out for yourself) standard properties like linearity. (3) proceed in a quite different direction exploring different ways of defining the integral to achieve greater generality or simplicity. So both Nahin and (3) are excellent supplementary material for the better student. I like Nahin's style. Not all his books work equally well (I discovered him last year and have been busy acquiring his oeuvre). This is one of the best. Absolutely brilliant.
Review: A books that puts the magic back into mathematics - This book is written in a jolly style with lots of different techniques ("tricks" as the author calls them) to help evaluate some scary looking definite integrals. I think this book is a great place for anyone to start who wants to appreciate mathematics, and as a basis for various branches of physics as well as an analytical number theory. It is a very entertaining book, deliberately in the manner that anyone who finds mathematical problems entertaining (when an insight might come or it might not). As someone who remembers many criminally dull mathematics books at university (which I will leave unmentioned here), this book helps put the magic back into mathematics.

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | 858,883 in Books ( See Top 100 in Books ) 762 in Engineering Physics 943 in Applied Mathematics (Books) 2,937 in Popular Science Physics |
| Customer reviews | 4.6 4.6 out of 5 stars (81) |
| Dimensions  | 15.24 x 2.54 x 22.23 cm |
| Edition  | Illustrated |
| ISBN-10  | 1493912763 |
| ISBN-13  | 978-1493912766 |
| Item weight  | 853 g |
| Language  | English |
| Print length  | 436 pages |
| Publication date  | 28 Aug. 2014 |
| Publisher  | Springer |

## Images

![Inside Interesting Integrals: A Collection of Sneaky Tricks, Sly Substitutions, and Numerous Other Stupendously Clever, Awesomely Wicked, and ... (Undergraduate Lecture Notes in Physics) - Image 1](https://m.media-amazon.com/images/I/61cgOMTfTNL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ A brilliant book. Hugely enjoyable.
*by J***S on 16 July 2016*

What is one to make of a book on how to do the trickier integrals? I spent hundreds of hours learning such things in my youth (at Cambridge University in the late 1960s), but what is the point today? Mathematica and similar software is still much better, certainly much faster, than I am. Part of the reason is easily discovered by playing with MSE for a while (math.stackexchange.com for the uninitiated). Jack d'Aurizio is much better than Mathematica, whilst countless students struggle to figure out what on earth is going on and could clearly make little effective use of Mathematica. Nonetheless, Paul Nahin goes rather further than they need and certainly far further than most of them would want. There is also the question of how his book compares with: (1) Irresistible Integrals; or (2) a more straightforward presentation of integration such as one might find in any number of standard textbooks; or (3) with some of the more specialised presentations such as the books on geometric algebra or (my favourite) Shilov & Gurevich Integral, Measure and Derivative. I bought Irresistible Integrals first and will try to review it separately. It is misleading. It states prominently in the Preface that "the original idea was ... to write a text in which we would prove eveery formula in Table of Integrals, Series and Products by Gradshteyn & Rhyzik (the standard reference work from the era before math software became ubiquitous, and still useful). Actually, it presents a rather laid-back collection of useful techniques with much emphasis on using Mathematica for "exploration". The dunces on MSE would find it much easier going than Nahin's book. They would also dislike Nahin because he generally does not bother to state the obvious. Exactly how some technique can be justified, well those boring details are for you to fill in. By the same token there is little overlap between Nahin and the typical College text. He assumes you already know how integrals are defined, and have met (or can easily figure out for yourself) standard properties like linearity. (3) proceed in a quite different direction exploring different ways of defining the integral to achieve greater generality or simplicity. So both Nahin and (3) are excellent supplementary material for the better student. I like Nahin's style. Not all his books work equally well (I discovered him last year and have been busy acquiring his oeuvre). This is one of the best. Absolutely brilliant.

### ⭐⭐⭐⭐⭐ A books that puts the magic back into mathematics
*by G***D on 29 January 2017*

This book is written in a jolly style with lots of different techniques ("tricks" as the author calls them) to help evaluate some scary looking definite integrals. I think this book is a great place for anyone to start who wants to appreciate mathematics, and as a basis for various branches of physics as well as an analytical number theory. It is a very entertaining book, deliberately in the manner that anyone who finds mathematical problems entertaining (when an insight might come or it might not). As someone who remembers many criminally dull mathematics books at university (which I will leave unmentioned here), this book helps put the magic back into mathematics.

### ⭐⭐⭐⭐ A great mathematical exposition - although the presentation could be prettier
*by A***R on 14 September 2018*

A hugely enjoyable book. I have been working through the examples and questions and thoroughly enjoying it. The only, minor, thing that lets it down is the somewhat ugly formatting of the formulae. I can't help thinking it would have been better to have typeset it in TeX. I also found the numerical checks using Matlab to be redundant - having proved an integral mathematically I couldn't see the point of then doing a check with a numerical calculation. But what a great mathematical exposition!

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*Last updated: 2026-02-15*