Asymptotic Expansions (Dover Books on Mathematics) by A. Erdélyi (PDF)

Description

Originally prepared for the Office of Naval Research, this important monograph introduces various methods for the asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansions. Author’s preface. Bibliography.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Not a textbook but rather a timeless classic set of notes on asymptotic methods. Chapter 1: Asymptotic series. Chapter 2: Integrals (including but not limited to, Laplace integrals, Laplace’s method, method of steepest descents, Airy’s integral, Fourier integral). Chapter 3: Singularities of differential equations (including but not limited to, classification of singularities, normal solutions, asymptotic expansions). Chapter 4: Differential equations with a large parameter (including but not limited to, Liouville’s problem, asymptotic solutions, Airy functions).

⭐if you’re into asymptotic expansions, then you’ll like this book.

⭐although by now it is quite outdated. However, books on asymptotic mathematics are still rare and you should not begin an honest study without consulting Erdelyis’s masterpiece. Here are the basics!

⭐Ist eine gute, kurze Einführung zum Thema und hoffentlich hilfreich für numerische Berechnungen von Reihen und Integralen, wie sie bei Simulationen imer wieder auftreten.

⭐

⭐So much easier to use, as other books on the same subject

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