I Preface. 1 Ordinary Differential Equations. 2 Difference Equations. 3 Approximate Solution of Linear Differential Equations. 4 Approximate Solution of Nonlinear Equations. 5 Approximate Solution of Difference Equations. 6 Asymptotic Expansion of Integrals. 7 Perturbation Series. 8 Summation of Series. 9 Boundary Layer Theory. 10 WKB Theory. 11 Multiple Scales Analysis. Appendix, References, Index
"This book is a reprint of the original published by McGraw-Hill
\ref [MR0538168 (80d:00030)]. The only changes are the addition of
the Roman numeral I to the title and the provision of a subtitle,
"Asymptotic methods and perturbation theory". This latter
improvement is much needed, as the original title suggested that
this was a teaching book for undergraduate scientists and
engineers. It is not, but is an excellent introduction to
asymptotic and perturbation methods for master's degree students or
beginning research students. Certain parts of it could be used for
a course in asymptotics for final year undergraduates in applied
mathematics or mathematical physics.
This is a book that has stood the test of time and I cannot but
endorse the remarks of the original reviewer. It is written in a
fresh and lively style and the many graphs and tables, comparing
the results of exact and approximate methods, were in advance of
its time. I have owned a copy of the original for over twenty
years, using it on a regular basis, and, after the original had
gone out of print, lending it to my research students.
Springer-Verlag has done a great service to users of, and
researchers in, asymptotics and perturbation theory by reprinting
this classic." (A.D. Wood, Mathematical Reviews)
Ask a Question About this Product More... |