---
product_id: 17362235
title: "Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6)"
price: "NT$4750"
currency: TWD
in_stock: true
reviews_count: 7
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---

# Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6)

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Review: Good - This is a concise and precise text. This book amplified my understanding of asymptotics (which is limited) and is an excellent complement to Bender and Orszag. I found the discussion of the limitation of convergence of series (unless it is extremely rapid), the value of divergent series, the art of the approach by analyzing the behaviour (order) of the functions within sections of the domain helpful conceptually. The more complex middle and end of the book are subjects I hope to return to (this is a personal limitation not a criticism of the book). The first half, however, significantly improved my understanding.
Review: Disappointing; James Murdock says it best. - I was disappointed with this book. I came excited to learn a new field, but found a book which was frustratingly non-rigorous. This would be forgivable from an author like V. I. Arnold, C. Lanczos, or T. Needham (who provide brilliant motivation) but I found Hinch to be poorly motivated, surprisingly difficult, terse, and frankly quite boring. James Murdock's 'Perturbations' is better, though if there's a true 'classic' in the field I'm yet to find it. I whole-heartedly agree with Murdock's review of Hinch in AMS. After highlighting a key distinction between uniform ordering and uniform validity (a distinction Hinch brushes over - hence the comment re. non-rigorous above), he ends with the following summary: "It is not entirely clear for which audience the book is intended; it would seem to be difficult to find a reader who knows most of the things the author assumes but not most of the things that he says. The book is much too short and sketchy and hurries too rapidly into difficult examples to serve as an introduction. Yet it does treat elementary topics, which would not be required by an advanced reader. Most of the difficult examples are treated so briefly that they are best regarded as exercises with ample hints. For the Van der Pol example, the reader is expected to know immediately that A3 and I3 are Bessel functions (they are never identified), to know their asymptotic properties, and to know how they are used to solve Airy equations; all of this is passed over in one line. An acquaintance with fluid mechanics is also assumed. The book will probably find its greatest usefulness as a reference book for those with considerable background, but, for this purpose, one would wish for a better bibliography."

## Technical Specifications

| Specification | Value |
|---------------|-------|
| ASIN  | 0521378974 |
| Best Sellers Rank | #2,357,130 in Books ( See Top 100 in Books ) #554 in Differential Equations (Books) #7,496 in Mathematics (Books) |
| Customer Reviews | 4.2 4.2 out of 5 stars (15) |
| Dimensions  | 6 x 0.44 x 9 inches |
| ISBN-10  | 9780521378970 |
| ISBN-13  | 978-0521378970 |
| Item Weight  | 8.8 ounces |
| Language  | English |
| Part of series  | Cambridge Texts in Applied Mathematics |
| Print length  | 176 pages |
| Publication date  | October 25, 1991 |
| Publisher  | Cambridge University Press |

## Images

![Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6) - Image 1](https://m.media-amazon.com/images/I/61m965wWgKL.jpg)
![Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6) - Image 2](https://m.media-amazon.com/images/I/61EtvVlfgrL.jpg)
![Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6) - Image 3](https://m.media-amazon.com/images/I/31TanCWN0sL.jpg)

## Customer Reviews

### ⭐⭐⭐ Good
*by U***N on May 18, 2013*

This is a concise and precise text. This book amplified my understanding of asymptotics (which is limited) and is an excellent complement to Bender and Orszag. I found the discussion of the limitation of convergence of series (unless it is extremely rapid), the value of divergent series, the art of the approach by analyzing the behaviour (order) of the functions within sections of the domain helpful conceptually. The more complex middle and end of the book are subjects I hope to return to (this is a personal limitation not a criticism of the book). The first half, however, significantly improved my understanding.

### ⭐⭐ Disappointing; James Murdock says it best.
*by T***6 on June 14, 2023*

I was disappointed with this book. I came excited to learn a new field, but found a book which was frustratingly non-rigorous. This would be forgivable from an author like V. I. Arnold, C. Lanczos, or T. Needham (who provide brilliant motivation) but I found Hinch to be poorly motivated, surprisingly difficult, terse, and frankly quite boring. James Murdock's 'Perturbations' is better, though if there's a true 'classic' in the field I'm yet to find it. I whole-heartedly agree with Murdock's review of Hinch in AMS. After highlighting a key distinction between uniform ordering and uniform validity (a distinction Hinch brushes over - hence the comment re. non-rigorous above), he ends with the following summary: "It is not entirely clear for which audience the book is intended; it would seem to be difficult to find a reader who knows most of the things the author assumes but not most of the things that he says. The book is much too short and sketchy and hurries too rapidly into difficult examples to serve as an introduction. Yet it does treat elementary topics, which would not be required by an advanced reader. Most of the difficult examples are treated so briefly that they are best regarded as exercises with ample hints. For the Van der Pol example, the reader is expected to know immediately that A3 and I3 are Bessel functions (they are never identified), to know their asymptotic properties, and to know how they are used to solve Airy equations; all of this is passed over in one line. An acquaintance with fluid mechanics is also assumed. The book will probably find its greatest usefulness as a reference book for those with considerable background, but, for this purpose, one would wish for a better bibliography."

### ⭐⭐⭐ Not the best
*by K***E on August 17, 2012*

This wasn't one of the best textbooks I've used. The explanations were short and not very helpful. If you're thinking about buying this for any reason other than it being required for a class, look elsewhere. There have to be better texts on perturbation methods out there.

## Frequently Bought Together

- Perturbation Methods (Cambridge Texts in Applied Mathematics, Series Number 6)
- Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory

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*Last updated: 2026-03-14*