Reading List for
MATH3365 & MATH5366M
Perturbation
methods and asymptotic analysis comprise a vast field, with cutting-edge
research continuing to develop in the area. Accordingly, the following book list could never be complete, so if there are any books which you feel should be included, or which are not in the Leeds University Library, please email me and I shall endeavour to order a copy, or check
here to see if the book is still in print.
Where an author's name is highlighted
below, the link will show you the
location
and
loan status
of the book in the Library, whose Catalogue-Search page is here.
Over the years, I have found many of the
following books to be extremely useful. Some are aimed at a research level, others
are more suited towards teaching. Among them are some excellent and well-known texts, which are accordingly either
recommended
(*) or
highly recommended
(**)
for the course.
The other texts will almost certainly be of interest/use to postgraduate students attending the course.
The omission of current book prices, which have a habit of changing rapidly and/or being depressingly high, is deliberate.
Perturbation Methods
-
**
C M Bender & S A Orszag, Advanced Mathematical
Methods for Scientists and Engineers, McGraw-Hill, London, 1978 (ISBN 0 070
04452 X). 2nd edition 1999.
-
J P Boyd,
The Devil's Invention: Asymptotics, Superasymptotic and Hyperasymptotic Series, Acta Applicandae,
56, 1-98, 1999. Review article.
-
**
A W Bush
Perturbation Methods for Engineers and
Scientists, CRC Press, 1992 (ISBN 0 849 38614 4).
-
A Erdelyi,
Asymptotic Expansions,
London, 1956.
-
**
E J Hinch,
Perturbation Methods,
Cambridge University Press, 1991 (ISBN 0 521 37897 4).
-
*
M H Holmes,
Introduction to Perturbation Methods,
Springer-Verlag, New York, 1995 (ISBN 0 387 94203 3).
-
J Kevorkian & J D Cole,
Perturbation Methods in Applied Mathematics,
Springer-Verlag, New York, 1981 (ISBN 0 387 90507 3).
-
J Kevorkian & J D Cole,
Multiple Scale and Singular Perturbation Methods,
Springer-Verlag, New York, 1996 (ISBN 0 387 94202 5).
-
P A Lagerstrom,
Matched Asymptotic Expansions: Ideas and Techniques,
Springer-Verlag, New York, 1988 (ISBN 0 387 96811 3).
-
C C Lin & L A Segel
Mathematics Applied to Deterministic Problems in the Natural Sciences, Macmillan, New York, 1974
(ISBN 0 023 70720 8). Only some chapters relevant, but
good.
-
P D Miller
Applied Asymptotic Analysis, American Mathematical Society, Providence, 2006 (ISBN 0 821 84078 9).
Very good. Added to the library March 2008.
-
J A Murdock
Perturbations: Theory and Methods, Wiley, New York, 1991 (ISBN 0 471 61294 4).
-
J D Murray,
Asymptotic Analysis,
Springer-Verlag, New York, 1984 (ISBN 0 387 90937 0).
-
A H Nayfeh,
Introduction to Perturbation Techniques,
Wiley, New York, 1981 (ISBN 0 471 08033 0).
-
A H Nayfeh,
Problems in Perturbation,
Wiley, New York, 1985 (ISBN 0 471 82292 2).
-
**
A H Nayfeh, Perturbation Methods, Wiley Classic
Library edn., 2000 (ISBN 0 471 39917 5).
-
F W J Olver, Asymptotics and Special Functions, Academic Press, 1974 (ISBN 0 125 25850 X).
-
M van Dyke, Perturbation Methods in Fluid Mechanics,
Academic Press, 1964.
-
E Zauderer, Partial Differential Equations of Applied
Mathematics (2nd edn), Wiley, 1998 (ISBN 0 471 31516 8). Only
Chapters 9 and 10.
Maple techniques only some chapters relevant to Perturbation
Methods, but highly useful and superbly
written.
-
**
A Heck,
Introduction to Maple (3rd edn.), Springer Verlag, 2003 (ISBN 0 387 00230 8).
3rd edition extensively updated for Maple 9.
- *
D Richards,
Advanced Mathematical Methods with Maple, Cambridge University Press, 2002 (ISBN 0 521
77981 2 pbk).
Page created by
Professor M A Kelmanson on 1st September 2005; last updated 9th September 2010.