Techniques of Asymptotic Analysis

  • Lawrence¬†Sirovich

Part of the Applied Mathematical Sciences book series (AMS, volume 2)

Table of contents

  1. Front Matter
    Pages N2-ix
  2. Lawrence Sirovich
    Pages 187-299
  3. Back Matter
    Pages 301-306

About this book

Introduction

These notes originate from a one semester course which forms part of the "Math Methods" cycle at Brown. In the hope that these notes might prove useful for reference purposes several additional sections have been included and also a table of contents and index. Although asymptotic analysis is now enjoying a period of great vitality, these notes do not reflect a research oriented course. The course is aimed toward people in applied mathematics, physics, engineering, etc., who have a need for asymptotic analysis in their work. The choice of subjects has been largely dictated by the likelihood of application. Also abstraction and generality have not been pursued. Technique and computation are given equal prominence with theory. Both rigorous and formal theory is presented --very often in tandem. In practice, the means for a rigorous analysis are not always available. For this reason a goal has been the cultivation of mature formal reasoning. Therefore, during the course of lectures formal presentations gradually eclipse rigorous presentations. When this occurs, rigorous proofs are given as exercises or in the case of lengthy proofs, reference is made to the Reading List at the end.

Keywords

Abstraction Analysis DEX Eclipse Likelihood Math addition applied mathematics calculus computation form mathematics presentation proof techniques

Authors and affiliations

  • Lawrence¬†Sirovich
    • 1
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-6402-6
  • Copyright Information Springer-Verlag New York 1971
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-90022-3
  • Online ISBN 978-1-4612-6402-6
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • About this book
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