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Analysis for Applied Mathematics

  • Ward Cheney

Part of the Graduate Texts in Mathematics book series (GTM, volume 208)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Ward Cheney
    Pages 1-60
  3. Ward Cheney
    Pages 61-114
  4. Ward Cheney
    Pages 115-169
  5. Ward Cheney
    Pages 170-245
  6. Ward Cheney
    Pages 246-286
  7. Ward Cheney
    Pages 287-332
  8. Ward Cheney
    Pages 333-380
  9. Ward Cheney
    Pages 381-427
  10. Back Matter
    Pages 429-447

About this book

Introduction

This book evolved from a course at our university for beginning graduate stu­ dents in mathematics-particularly students who intended to specialize in ap­ plied mathematics. The content of the course made it attractive to other math­ ematics students and to graduate students from other disciplines such as en­ gineering, physics, and computer science. Since the course was designed for two semesters duration, many topics could be included and dealt with in de­ tail. Chapters 1 through 6 reflect roughly the actual nature of the course, as it was taught over a number of years. The content of the course was dictated by a syllabus governing our preliminary Ph. D. examinations in the subject of ap­ plied mathematics. That syllabus, in turn, expressed a consensus of the faculty members involved in the applied mathematics program within our department. The text in its present manifestation is my interpretation of that syllabus: my colleagues are blameless for whatever flaws are present and for any inadvertent deviations from the syllabus. The book contains two additional chapters having important material not included in the course: Chapter 8, on measure and integration, is for the ben­ efit of readers who want a concise presentation of that subject, and Chapter 7 contains some topics closely allied, but peripheral, to the principal thrust of the course. This arrangement of the material deserves some explanation.

Keywords

Hilbert space Newton's method calculus differential equation measure optimization spectral theorem

Authors and affiliations

  • Ward Cheney
    • 1
  1. 1.Department of MathematicsUniversity of Texas at AustinAustinUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3559-8
  • Copyright Information Springer-Verlag New York 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2935-8
  • Online ISBN 978-1-4757-3559-8
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site