Nonstandard Asymptotic Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonstandard Asymptotic Analysis write by Imme van den Berg. This book was released on 2006-11-15. Nonstandard Asymptotic Analysis available in PDF, EPUB and Kindle. This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes topics of general interest, like the remarkable behaviour of Taylor polynomials of elementary functions. Noting that within nonstandard analysis, "small", "large", and "domain of validity of asymptotic behaviour" have a precise meaning, a nonstandard alternative to classical asymptotics is developed. Special emphasis is given to applications in numerical approximation by convergent and divergent expansions: in the latter case a clear asymptotic answer is given to the problem of optimal approximation, which is valid for a large class of functions including many special functions. The author's approach is didactical. The book opens with a large introductory chapter which can be read without much knowledge of nonstandard analysis. Here the main features of the theory are presented via concrete examples, with many numerical and graphic illustrations. N
Introduction to Asymptotics
Introduction to Asymptotics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Asymptotics write by Douglas Samuel Jones. This book was released on 1997. Introduction to Asymptotics available in PDF, EPUB and Kindle. "A very attractive feature of the book is the numerous examples illustrating the methods. A fine collection of exercises enriches each chapter, challenging the reader to check his progress in understanding the methods".Mathematical Reviews"As an introductory book to asymptotics, with chapters on uniform asymptotics and exponential asymptotics, this book clearly fills a gap it has a friendly size and contains many convincing numerical examples and interesting exercises. Hence, I recommend the book to everyone who works in asymptotics".SIAM, 1998" it is an excellent book that contains interesting results and methods for the researchers. It will be useful for the students interested in analysis and lectures on asymptotic methods The reviewer recommends the book to everyone who is interested in analysis, engineers and specialists in ODE-s"Acta Sci. Math. (Szeged), 1999
Introduction To Asymptotics - A Treatment Using Nonstandard Analysis
Introduction To Asymptotics - A Treatment Using Nonstandard Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction To Asymptotics - A Treatment Using Nonstandard Analysis write by Douglas S Jones. This book was released on 1997-01-16. Introduction To Asymptotics - A Treatment Using Nonstandard Analysis available in PDF, EPUB and Kindle. Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course.
An Asymptotic Analysis for a Nonstandard Cahn-Hilliard System with Viscosity
An Asymptotic Analysis for a Nonstandard Cahn-Hilliard System with Viscosity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Asymptotic Analysis for a Nonstandard Cahn-Hilliard System with Viscosity write by . This book was released on 2011. An Asymptotic Analysis for a Nonstandard Cahn-Hilliard System with Viscosity available in PDF, EPUB and Kindle.
Nonstandard Analysis and Its Applications
Nonstandard Analysis and Its Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonstandard Analysis and Its Applications write by Nigel Cutland. This book was released on 1988-09-30. Nonstandard Analysis and Its Applications available in PDF, EPUB and Kindle. This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject.
