7 edition of **Nonarchimedean fields and asymptotic expansions** found in the catalog.

- 107 Want to read
- 38 Currently reading

Published
**1975** by North-Holland Pub. Co., American Elsevier Pub. Co. in Amsterdam, New York .

Written in English

- Nonstandard mathematical analysis.,
- Asymptotic expansions.

**Edition Notes**

Statement | A. H. Lightstone and Abraham Robinson. |

Series | North-Holland mathematical library ; v. 13 |

Contributions | Robinson, Abraham, 1918-1974, joint author. |

Classifications | |
---|---|

LC Classifications | QA299.82 .L53 |

The Physical Object | |

Pagination | x, 204 p. ; |

Number of Pages | 204 |

ID Numbers | |

Open Library | OL5073157M |

ISBN 10 | 0444107312 |

LC Control Number | 74083269 |

book is devoted to the study of these analytic spaces. We try to show that geometrical considerations are relevant and useful over /7-adic fields too. Of course, time will show better whether the lost p-adic spaces were worth find ing. In the early stages of this work, the interest and encouragement of M. Vishik were a necessary stimulus for Size: 2MB. Fields medalists' lectures. World Scientific Pub Co Inc. Michael Francis Atiyah, Daniel Iagolnitzer. Год: Nonarchimedean fields and asymptotic expansions. North-Holland Pub. Co. A H Lightstone, Abraham Robinson. Год: Язык: A search query can be a title of the book, a name of the author, ISBN or anything else. The asymptotic expansions of crack tip stress fields bring out explicitly the influence of non-homogeneity on the structure of the stress field. The analysis reveals that only the higher order terms in the expansion are influenced by the material : Yao Dai, Peng Zhang, Zhao Quan Zheng, Wei Tan.

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Additional Physical Format: Online version: Lightstone, A.H. Nonarchimedean fields and asymptotic expansions. Amsterdam: North-Holland Pub. ; New York: American. North-Holland Mathematical Library, Volume Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function.

The publication first explains nonarchimedean fields and nonstandard by: Purchase Nonarchimedean Fields and Asymptotic Expansions - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

A.H. Lightstone at chess Albert Harold Lightstone (–) [1] was a Nonarchimedean fields and asymptotic expansions book mathematician. He was one of the pioneers of non-standard analysis, a doctoral student of Abraham Robinson, and later a co-author with Robinson of the book Nonarchimedean Fields and Asymptotic Expansions.

By A. Lightstone and A. Robinson: pp. x, US$24 (North‐Holland Publishing Co., Amsterdam, )Author: J.

Cooper. Asymptotic Expansions (Dover Books on Mathematics) Paperback – Novem by A. Erdelyi (Author) out of 5 stars 5 ratings. See all 4 formats and editions Hide other formats and editions.

Price New from Used from 5/5(5). Dingle, Robert B. Asymptotic expansions: their derivation and interpretation [by] R. Dingle Academic Press London, New York Wikipedia Citation Please see Wikipedia's template documentation for further citation fields that may be required. Asymptotic expansions An asymptotic expansion describes the asymptotic behavior of a function in terms of a sequence of gauge functions.

The deﬁnition was introduced by Poincar´e (), and it provides a solid mathematical foundation for the use of many divergent series. Deﬁnition A sequence of functions ϕFile Size: KB. In mathematics, a non-Archimedean ordered field is an ordered field that does not satisfy the Archimedean es are the Levi-Civita field, the hyperreal numbers, the surreal numbers, the Dehn field, and the field of rational functions with real coefficients with a suitable order.

Definition. The Archimedean property is a property of certain ordered fields such as the Formalizations: Differentials, Hyperreal numbers. In mathematics, the method of matched asymptotic expansions is a common approach to finding an accurate approximation to the solution to an equation, or system of is particularly used when solving singularly perturbed differential involves finding several different approximate solutions, each of which is valid (i.e.

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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.

An Introduction to Matched Asymptotic Expansions (A Draft) Peicheng Zhu Basque Center for Applied Mathematics and Ikerbasque Foundation for Science Nov., Preface The Basque Center for Applied Mathematics (BCAM) is a newly founded institute which is one of the Basque Excellence Research Centers (BERC).File Size: KB.

Albert Harold Lightstone was a Canadian was one of the pioneers of non-standard analysis, a doctoral student of Abraham Robinson, a co-author with Robinson of the book Nonarchimedean Fields and Asymptotic tone earned his PhD from the University of Toronto inunder the supervision of Abraham Robinson, he was a professor.

[ Book: ] View online (access conditions) 62,) Introduction to model theory and to the metamathematics of algebra: Abraham Robinson Robinson, Abraham, [ Book: ] At 14 libraries.

This resource is very relevant to your query (score: 52,) Nonarchimedean fields and asymptotic expansions / A. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus.

He introduced this new subject in a seminar at Princeton inand it remains as controversial today as it was then. Asymptotic Expansions: Their Derivation and Interpretation by R B Dingle I have decided to host Dingle’s book on my home page because it is long out of print and much in demand.

He describes how divergent series originate, how their terms can be calculated, and above all how they can be regarded as exact coded. Non-Archimedean analysis is an appropriate modeling tool for hierarchical multi-level systems.

Notions as, valued fields, normed linear spaces, and orthogonality are introduced and compared to corresponding real analysis : Octavian Iordache. Sage Reference Manual: Asymptotic Expansions, Release Note: Asymptotic rings where the variable tend to some value distinct from ∞are not yet implemented.

To ﬁnd out more about •growth groups, •on how they are created and •about the above used descriptions strings see the top of the module growth group.

Introductory ExamplesFile Size: KB. 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 descents 43 Bibliography 49 Appendix A. Notes 51File Size: KB.

Minimal Surfaces: Edition 2 - Ebook written by Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Minimal Surfaces: Edition 2.

Buy The axiomatic method; an introduction to mathematical logic. by Albert Harold Lightstone online at Alibris. We have new and used copies available, in 0 edition. For sums of finite range potential functions of an iid random field we derive the validity of formal expansions of length two.

Under standard conditions, formal expansions are valid if and only if the characteristic functions of the sum converge to zero for all nonzero frequency parameters. If this convergence fails, the distribution of the sum can be Cited by: Click on the title to browse this issue.

"A book of great value it should have a profound influence upon future research."--Mathematical Reviews. Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle of this century that it became apparent how essential asymptotic series are to.

Roughly speaking, you can attack such problems with matched asymptotic expansions in a parallel way as for ODEs, but some nasty things happen.

Outer approximation: General procedure for solving first order partial differential equations is to use method of characteristics (also works for nonlinear equations)File Size: KB. Lightstone and A. Robinson, Nonarchimedean Fields and Asymptotic Expansions, North-Holland, Amsterdam, An Existence Result for a Author: Guy Berger.

ZAlerts allow you to be notified by email about the availability of new books according to your search query. A search query can be a title of the book, a name of the author, ISBN or anything else.

Read more about ZAlerts. "Non-Archimedean Field" is a term used to refer to a non-Archimedean valued field or a non-Archimedean ordered field. Of course, this term is used within a context that allows you to decide whether we are treating with the former or latter case. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics.

About asymptotic field assumption in QFT. Ask Question Asked 3 years, 6 months ago. I suggest you to have a look at Sect. II of Haag's book. We will show that asymptotic representation of the compound mean can be easily obtained from the known asymptotic expansions of its components and once this representation is known, it can be used for comparison of means and also for numerical calculation in an efficient : Tomislav Buri, Neven Elezovi.

I'm having problems getting my head around a stretching transformation in the method of matched asymptotic expansions. I'm reading Introduction to Perturbation Methods (by.

Berz. Analysis on a nonarchimedean extension of the real numbers. Lecture Notes, and Mathematics Summer Graduate Schools of the German National Merit Foundation. Nonarchimedean fields and asymptotic expansions (with A.

Lightstone). North-Holland mathematical library, North-Holland mathematical library, North-Holland, i nasa technical note nasa tn d a method of asymptotic expansions for singular perturbation problems with application in viscous flow by e.

dule murtin.+ ames reseurcb center moffett field, - cuzzf national aeronautics and space administration washingtonFile Size: 3MB. North-Holland Mathematical Library, Volume Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function.

The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the. On the metamathematics of algebra.

by Abraham Robinson Write The First Customer Review. Filter Results The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire. Nonarchimedean fields and asymptotic expansions Starting at $ Contributions to non-standard Range: $34 - $ Matched asymptotic expansions in ﬁnancial the book Introduction to Fourier Analysis and Generalised Functions [2] which introduced many, many applied mathematicians to the idea of the delta func- with a particular emphasis on the use of matched asymptotic expansions.

Idea. An archimedean field is an ordered field in which every element is bounded above by a natural number. So an archimedean field has no infinite elements (and thus no non-zero infinitesimal elements).

Non-archimedean fields. For k k a non-archimedean field for some non-archimedean absolute value | − | {\vert -\vert} one defines. its ring of integers to be. Abstract: A ``hybrid method'', dedicated to asymptotic coefficient extraction in combinatorial generating functions, is presented, which combines Darboux's method and singularity analysis theory.

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