Author: A. Erdelyi
Publisher: Dover Publications
Keywords: expansions, asymptotic
Number of Pages: 108
Published: 2010-11-18
List price: $8.95
ISBN-10: 0486603180
ISBN-13: 9780486603186

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. 1956 unabridged republication of Technical Report 3, Office of Naval Research. Author’s preface. Bibliography.

Author: N. G. de Bruijn
Publisher: Dover Publications
Keywords: analysis, methods, asymptotic
Number of Pages: 200
Published: 2010-10-18
List price: $12.95
ISBN-10: 0486642216
ISBN-13: 9780486642215

Original, effective approach teaches by explaining worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear ... the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation."— Nuclear Physics.

Author: T. K. Chandra
Publisher: Alpha Science International, Ltd
Keywords: statistics, theory, asymptotic, course, first
Number of Pages: 264
Published: 1999-05-01
List price: $64.50
ISBN-10: 817319260X
ISBN-13: 9788173192609

Starting with the elementary notions of calculus, statistics and probability, the author introduces in this book the basic results of asymptotic theory through intuitive and motivated approaches with excellent exposure to various problems. Many theoretical and numerical examples have been worked out along with results which are not available in other books.

Author: Copson E. T.
Publisher: Cambridge University Pre
Keywords: mathematics, tracts, cambridge, expansions, asymptotic
Number of Pages: 132
Published: 2004-06-03
List price: $31.99
ISBN-10: 0521604826
ISBN-13: 9780521604826

Certain functions, capable of expansion only as a divergent series, may nevertheless be calculated with great accuracy by taking the sum of a suitable number of terms. The theory of such asymptotic expansions is of great importance in many branches of pure and applied mathematics and in theoretical physics. Solutions of ordinary differential equations are frequently obtained in the form of a definite integral or contour integral, and this tract is concerned with the asymptotic representation of a function of a real or complex variable defined in this way. After a preliminary account of the pro

Author: J.D. Murray
Publisher: Springer
Keywords: sciences, mathematical, applied, analysis, asymptotic
Number of Pages: 180
Published: 1984-04-10
List price: $129.00
ISBN-10: 0387909370
ISBN-13: 9780387909370

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 a

Author: Roscoe B. White
Publisher: Imperial College Press
Keywords: equations, differential, analysis, asymptotic
Number of Pages: 286
Published: 2006-03-30
List price: $86.00
ISBN-10: 1860945872
ISBN-13: 9781860945878

An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis. The construction of integral solutions and the use of analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic p

Authors:M. Denker, R. Bhattacharya,
Publisher: Birkhäuser Basel
Keywords: seminars, oberwolfach, statistics, asymptotic
Number of Pages: 122
Published: 1990-04-01
List price: $59.95
ISBN-10: 3764322829
ISBN-13: 9783764322823