2 edition of **Asymptotic methods in analysis.** found in the catalog.

Asymptotic methods in analysis.

N. G. de Bruijn

- 268 Want to read
- 35 Currently reading

Published
**1961**
by North-Holland Pub. Co. in Amsterdam
.

Written in English

- Numerical analysis.,
- Mathematical analysis.

**Edition Notes**

Series | Bibliotheca mathematica, a series of monographs on pure and applied mathematics -- v. 4., Bibliotheca mathematica -- v. 4. |

The Physical Object | |
---|---|

Pagination | 200 p. |

Number of Pages | 200 |

ID Numbers | |

Open Library | OL16583357M |

Additional Physical Format: Online version: Bruijn, N.G. de (Nicolaas Govert). Asymptotic methods in analysis. Amsterdam, North-Holland Pub. Co., [New York. 1 thought on “ On Asymptotic Methods in Analysis: Prof. de Bruijn’s beautiful little book ” Alexander Dorfman J at pm. Hi! Somehow, you blog ended up in my search results for the “Asymptotic Methods in Analysis” I might advice another title, that is closely related.

In applied mathematics, asymptotic analysis is used to build numerical methods to approximate equation solutions. In mathematical statistics and probability theory, asymptotics are used in analysis of long-run or large-sample behaviour of random variables and estimators. ISBN: OCLC Number: Notes: Reprint. Originally published: 3rd ed. Amsterdam: North-Holland Pub. Co., Description.

The book is a useful contribution to the literature. It contains many asymptotic formulas that can be used by practitioners. Zentralblatt Math This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's : Nico M Temme. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1 Asymptotic methods in analysis MCap.

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Since its first publication, Asymptotic Methods in Analysis has received widespread acclaim for its rigorous and original approach to teaching a difficult subject. This Dover edition, with corrections by the author, offers students, mathematicians, engineers, and physicists not only an inexpensive, comprehensive guide to asymptotic methods but also an unusually lucid and useful account of a Cited by: The book is like a David Attenborough animal show: at every turn there is a new marvelous "animal" that pops its head out.

What makes this possible is the subject: building approximations using asymptotic methods. Each remarkable approximation comes after the author has showed us how to almost painlessly ferret it out/5(10). Since its first publication, Asymptotic Methods in Analysis has received widespread acclaim for its rigorous and Asymptotic methods in analysis.

book approach to teaching a difficult subject. This Dover edition, with corrections by the author, offers students, mathematicians, engineers, and physicists not only an inexpensive, comprehensive guide to asymptotic methods but also an unusually lucid and useful account of a /5(6).

It contains many asymptotic formulas that can be used by practitioners. Zentralblatt Math This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's by: This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method.

The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability : $ Asymptotic Methods in Analysis book. Read reviews from world’s largest community for readers.

An original, effective approach teaches by reviewing worked /5(9). Since its first publication, Asymptotic Methods in Analysis has received widespread acclaim for its rigorous and original approach to teaching a difficult subject.

This Dover edition, with corrections by the author, offers students, mathematicians, engineers, and physicists not only an inexpensive, comprehensive guide to asymptotic methods but also an unusually lucid and useful account of a. This book tells the intriguing and entertaining story of asymptotic analysis through a series of well-chosen examples.

Some of the examples are contrived to illustrate a method, but most are interesting in themselves. System Upgrade on Tue, May 19th, at 2am (ET) During this period, E-commerce and registration of new users may not be available for up to 12 hours.

When an exact solution is lacking, it is often desirable to use local analysis to deter-mine the approximate behaviour of a solution near a point of interest (which could even be 1). Asymptotic series provide a powerful technique for constructing such approximations. 1.A A Simple Example. Abstract.

An asymptotic formula or asymptotic form for a function f(x) is the name usually given to an approximate formula f(x) ≈ g(x) in some domain of values of x, where g(x) is ‘simpler’ then f(x).For example, if f(x) is an integral, then g(x) must either be given in terms of the values of the integrand and its derivatives at a finite number of points, or in terms of some simpler Cited by: Asymptotic Methods in Analysis.

An 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."5/5(1).

A typical asymptotic result, and one of the oldest, is Stirling's formula just mentioned: () hmn\l {e-«nW2jm) = 1.

2 ASYMPTOTIC METHODS IN ANALYSIS For each n, the number n. can be evaluated. Asymptotic Methods in Analysis by N. De Bruijn and a great selection of related books, art and collectibles available now at - Asymptotic Methods in Analysis Dover Books on Mathematics by N G De Bruijn - AbeBooks.

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 (), any academic library would do well to have this excellent. Publisher Summary.

This chapter gives a synoptic view of limit theorems for Maximal Random Sums. The obtained results are not only of theoretical interest but are also very important in various applications, in the theory of Markov chains, in sequential analysis, in random walk problems, in connection with Monte Carlo methods, and in the theory of queues.

Buy Asymptotic Methods in Analysis (Dover Books on Mathematics) Dover Ed by N. de Bruijn (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on /5(6). The journal Asymptotic Analysis fulfills a twofold function.

It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand.

The book is like a David Attenborough animal show: at every turn there is a new marvelous "animal" that pops its head out. What makes this possible is the subject: building approximations using asymptotic methods/5(6).

Chapter 3. Asymptotic series 21 Asymptotic vs convergent series 21 Asymptotic expansions 25 Properties of asymptotic expansions 26 Asymptotic expansions of integrals 29 Chapter 4. Laplace integrals 31 Laplace’s method 32 Watson’s lemma 36 Chapter 5.

Method of stationary phase 39 Chapter 6. Method of steepest File Size: KB. This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods.This book is a survey of asymptotic methods set in the current applied research context of wave propagation.

It stresses rigorous analysis in addition to formal manipulations.Additional Physical Format: Online version: Bruijn, N.G. de (Nicolaas Govert). Asymptotic methods in analysis. Amsterdam, North-Holland Pub. Co.; New York.