Nonarchimedean Fields and Asymptotic Expansions
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Nonarchimedean Fields and Asymptotic Expansions

  1. 214 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Nonarchimedean Fields and Asymptotic Expansions

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About This Book

North-Holland Mathematical Library, Volume 13: 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 method of mathematical logic, ultrapower construction, principles of permanence, internal functions, many-sorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the Euler-Maclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the Euler-Maclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions.

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Yes, you can access Nonarchimedean Fields and Asymptotic Expansions by A. H. Lightstone,Abraham Robinson in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2016
ISBN
9781483257440
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Nonarchimedean Fields and Asymptotic Expansions
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE
  7. CHAPTER 1. NONARCHIMEDEAN FIELDS
  8. CHAPTER 2. NONSTANDARD ANALYSIS
  9. CHAPTER 3. THE FIELD ρR
  10. CHAPTER 4. FUNCTIONS IN ρR
  11. CHAPTER 5. EULER–MACLAURIN EXPANSIONS
  12. CHAPTER 6. ASYMPTOTIC EXPANSIONS – THE FORMAL CONCEPT
  13. CHAPTER 7. POPKEN SPACE
  14. BIBLIOGRAPHY
  15. INDEX