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Download Asymptotic Methods in Analysis (Dover Books on Mathematics) djvu

by N. G. de Bruijn

Author: N. G. de Bruijn
Subcategory: Mathematics
Language: English
Publisher: Dover Publications; Dover ed edition (October 18, 2010)
Pages: 200 pages
Category: Math and Science
Rating: 4.2
Other formats: txt lrf rtf mobi

Only 8 left in stock (more on the way). Only 2 left in stock (more on the way). Dutch mathematician Nicolaas Covert (Dick) de Brujin is Professor Emeritus at the Eindhoven University of Technology. He has been involved in many areas of mathematics and is currently working on models for the human brain. Series: Dover Books on Mathematics.

this book stands apart on my shelves since I used it so often that I had to replace it three times; the subject of. .This book will prove useful to you in different fashion as the years go on. and your mathematical skill is improving. Moreover, the price is really affordable.

this book stands apart on my shelves since I used it so often that I had to replace it three times; the subject of asymptotics is both useful and fascinating; this book delves in it through many examples first showing how to deal with them in elementary fashion, then using more advanced tools and finally exhibiting heavy machinery; although a lot of complex.

The book begins with a general introduction (fundamental to the whole book) on O and . Then, in 1958, Professor N. G. de Bruijn published this pioneering study. Asymptotic Methods in Analysis Dover Books on Mathematics. Courier Corporation, 2014.

The book begins with a general introduction (fundamental to the whole book) on O and o notation and asymptotic series in general.

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. To read this book, upload an EPUB or FB2 file to Bookmate.

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Only 7 left in stock (more on the way). Cite this chapter as: Fedoryuk . 1989) Asymptotic Methods in Analysis. Amsterdam: North-Holland, 1958 Zbl. 82,42 (2nd ed. 1975, 3rd e. New York: Dover 1981)zbMATHGoogle Scholar. 9. Debye, . Semikonvergente Entwicklungen für die Zylinder-Funktionen und ihre Ausdehnung ins Komplexe. eds) Analysis I. Encyclopaedia of Mathematical Sciences, vol 13. Springer, Berlin, Heidelberg.

Target/Movies, Music & Books/Books/All Book Genres/Education Books‎. product description page. Asymptotic Methods in Analysis - (Dover Books on Mathematics) (Paperback).

Asymptotic analysis, that branch of mathematics devoted to the study of the .

Asymptotic analysis, that branch of mathematics devoted to the study of the behavior of functions within chosen limits, was once thought of more as a specialized art than a necessary discipline. Also treated are the Mellin transform method and less elementary aspects of steepest descent. Each chapter is carefully illustrated with helpful diagrams and tables.

"A reader looking for interesting problems tackled often by highly original methods, for precise results fully proved, and for procedures fully motivated, will be delighted." — Mathematical Reviews.Asymptotics is not new. Its importance in many areas of pure and applied mathematics has been recognized since the days of Laplace. Asymptotic estimates of series, integrals, and other expressions are commonly needed in physics, engineering, and other fields. Unfortunately, for many years there was a dearth of literature dealing with this difficult but important topic. Then, in 1958, Professor N. G. de Bruijn published this pioneering study. Widely considered the first text on the subject — and the first comprehensive coverage of this broad field — the book embodied an original and highly effective approach to teaching asymptotics. Rather than trying to formulate a general theory (which, in the author's words, "leads to stating more and more about less and less") de Bruijn teaches asymptotic methods through a rigorous process of explaining worked examples in detail.Most of the important asymptotic methods are covered here with unusual effectiveness and clarity: "Every step in the mathematical process is explained, its purpose and necessity made clear, with the result that the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation." (Nuclear Physics).Part of the attraction of this book is its pleasant, straightforward style of exposition, leavened with a touch of humor and occasionally even using the dramatic form of dialogue. The book begins with a general introduction (fundamental to the whole book) on O and o notation and asymptotic series in general. Subsequent chapters cover estimation of implicit functions and the roots of equations; various methods of estimating sums; extensive treatment of the saddle-point method with full details and intricate worked examples; a brief introduction to Tauberian theorems; a detailed chapter on iteration; and a short chapter on asymptotic behavior of solutions of differential equations. Most chapters progress from simple examples to difficult problems; and in some cases, two or more different treatments of the same problem are given to enable the reader to compare different methods. Several proofs of the Stirling theorem are included, for example, and the problem of the iterated sine is treated twice in Chapter 8. Exercises are given at the end of each chapter.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 significant mathematical discipline.