Asymptotic Analysis

1. Auflage 1974. 2. printing 1984
ISBN: 978-0-387-90937-0
Verlag: Springer

Buch, Englisch, Band 48, 165 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 442 g

Reihe: Applied Mathematical Sciences

From the reviews: "A good introduction to a subject important for its capacity to circumvent theoretical and practical obstacles, and therefore particularly prized in the applications of mathematics. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not expressible as integrals. Murray includes both historical remarks and references to sources or other more complete treatments. More useful as a guide for self-study than as a reference work, it is accessible to any upperclass mathematics undergraduate. Some exercises and a short bibliography included. Even with E.T. Copson's Asymptotic Expansions or N.G. de Bruijn's Asymptotic Methods in Analysis (1958), any academic library would do well to have this excellent introduction." (S. Puckette, University of the South) #Choice Sept. 1984#1

Zielgruppe

Research

Autoren/Hrsg.

Murray, J. D.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

1. Asymptotic Expansions.- 2. Laplace’s Method for Integrals.- 3. Method of Steepest Descents.- 4. Method of Stationary Phase.- 5. Transform Integrals.- 6. Differential Equations.- 7. Singular Perturbation Methods.