rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: An
    title: introduction to analysis
  name:
    name part: Kirkwood, James R.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2021
    edition: Third edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: "The third edition of this widely popular textbook is authored by a master teacher. This book provides a mathematically rigorous introduction to analysis of real-valued functions of one variable. This intuitive, student-friendly text is written in a manner that will help to ease the transition from primarily computational to primarily theoretical mathematics. The material is presented clearly and as intuitive as possible while maintaining mathematical integrity. The author supplies the ideas of the proof and leaves the write-up as an exercise. The text also states why a step in a proof is the reasonable thing to do and which techniques are recurrent. Examples, while no substitute for a proof, are a valuable tool in helping to develop intuition and are an important feature of this text. Examples can also provide a vivid reminder that what one hopes might be true is not always true. Features of the Third Edition: Begins with a discussion of the axioms of the real number system. The limit is introduced via sequences. Examples motivate what is to come, highlight the need for hypothesis in a theorem, and make abstract ideas more concrete. A new section on the Cantor set and the Cantor function. Additional material on connectedness. Exercises range in difficulty from the routine "getting your feet wet" types of problems to the moderately challenging problems. Topology of the real number system is developed to obtain the familiar properties of continuous functions. Some exercises are devoted to the construction of counterexamples. The author presents the material to make the subject understandable and perhaps exciting to those who are beginning their study of abstract mathematics"--
  note: James R. Kirkwood.
  note: Includes bibliographical references and index.
  note: James R. Kirkwood holds a Ph.D. from University of Virginia. He has authored fifteen, published mathematics textbooks on various topics including calculus, real analysis, mathematical biology and mathematical physics. His original research was in mathematical physics, and he co-authored the seminal paper in a topic now called Kirkwood-Thomas Theory in mathematical physics. During the summer, he teaches real analysis to entering graduate students at the University of Virginia. He has been awarded several National Science Foundation grants. His texts, Elementary Linear Algebra, Linear Algebra, and Markov Processes, are also published by CRC Press.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analyse mathématique
  subject:
    topic: MATHEMATICS / Mathematical Analysis
  subject:
    topic: MATHEMATICS / Calculus
  subject:
    topic: Mathematical analysis
  classification: QA300
  classification: 515/.83
  related item:
    title info:
      title: Textbooks in mathematics
  related item:
    title info:
      title: An introduction to analysis
    name:
      name part: Kirkwood, James R..
    origin info:
      publisher: Boca Raton : Chapman & Hall/CRC Press, 2021.
      edition: Third edition.
    identifier: (DLC) 2021000942
  identifier: 9781003145141
  identifier: 1003145140
  identifier: 9781000403565
  identifier: 1000403564
  identifier: 9781000403558
  identifier: 1000403556
  identifier: 9780367702359
  identifier: 2021000943
  identifier: 9781000403565 Ingram Content Group
  identifier: 9781003145141 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: DLC
    record creation date: 210111
    record change date: 20241111204701.0
    record identifier: in00005527427
    language of cataloging:
      language term: eng