Perturbations: theory and methods
James A. Murdock
Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of ‘uniformity’ is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved.
Категорії:
Рік:
1991
Видання:
1
Видавництво:
Society for Industrial and Applied Mathematics
Мова:
english
Сторінки:
530
ISBN 10:
0898714435
ISBN 13:
9780898714432
Серії:
Classics in applied mathematics 27
Файл:
DJVU, 3.76 MB
IPFS:
,
english, 1991