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:
    title: Introductory analysis
    sub title: a deeper view of calculus
  name:
    name part: Bagby, Richard J
    role:
      role term: creator
    role:
      role term: author
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: cau
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xvi, 201 pages : illustrations ; 24 cm
  table of contents: I. Real Number System -- 1. Familiar Number Systems -- 2. Intervals -- 3. Suprema and Infima -- 4. Exact Arithmetic in R -- 5. Topics for Further Study -- II. Continuous Functions -- 1. Functions in Mathematics -- 2. Continuity of Numerical Functions -- 3. Intermediate Value Theorem -- 4. More Ways to Form Continuous Functions -- 5. Extreme Values -- III. Limits -- 1. Sequences and Limits -- 2. Limits and Removing Discontinuities -- 3. Limits Involving [infinity] -- IV. Derivative -- 1. Differentiability -- 2. Combining Differentiable Functions -- 3. Mean Values -- 4. Second Derivatives and Approximations -- 5. Higher Derivatives -- 6. Inverse Functions -- 7. Implicit Functions and Implicit Differentiation -- V. Riemann Integral -- 1. Areas and Riemann Sums -- 2. Simplifying the Conditions for Integrability -- 3. Recognizing Integrability -- 4. Functions Defined by Integrals -- 5. Fundamental Theorem of Calculus -- 6. Topics for Further Study -- VI. Exponential and Logarithmic Functions -- 1. Exponents and Ligarithms -- 2. Algebraic Laws as Definitions -- 3. Natural Logarithm -- 4. Natural Exponential Function -- 5. Important Limit -- VII. Curves and Arc Length -- 1. Concept of Arc Length -- 2. Arc Length and Integration -- 3. Arc Length as a Parameter -- 4. Arctangent and Arcsine Functions -- 5. Fundamental Trigonometric Limit -- VIII. Sequences and Series of Functions -- 1. Functions Defined by Limits -- 2. Continuity and Uniform Convergence -- 3. Integrals and Derivatives -- 4. Taylor's Theorem -- 5. Power Series -- 6. Topics for Further Study -- IX. Additional Computational Methods -- 1. L'Hopital's Rule -- 2. Newton's Method -- 3. Simpson's Rule -- 4. Substitution Rule for Integrals.
  note: Richard J. Bagby.
  note: Includes bibliographical references (page 197) and index.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analyse mathématique
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis
  subject:
    topic: Einführung
  classification: QA300 .B15 2001
  classification: 515
  classification: SK 400
  identifier: 0120725509
  identifier: 9780120725502
  identifier: 00103265
  identifier: http://catdir.loc.gov/catdir/toc/els031/00103265.html
  identifier: http://catdir.loc.gov/catdir/description/els031/00103265.html
  related item:
    location:
      url: http://catdir.loc.gov/catdir/toc/els031/00103265.html
  related item:
    location:
      url: http://catdir.loc.gov/catdir/description/els031/00103265.html
  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 000407
    record change date: 20240807182955.7
    record identifier: in00004807794
    language of cataloging:
      language term: eng