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: Practical analysis in one variable
  name:
    name part: Estep, Donald J.
    name part: 1959-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2002
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xx, 621 pages) : illustrations.
  abstract: "The book is well suited for an honors calculus sequence typically taken by first-year undergraduates planning to major in engineering, mathematics, and science and for an introductory course in rigorous real analysis offered to mathematics majors."--Jacket.
  table of contents: Cover -- Preface -- Table of Contents -- Introduction -- Part I-Numbers and Functions, Sequences and Limits -- 1. Mathematical Modeling -- 2. Natural NUmbers Just Arent Enough -- 3. Infinity and Mathematical Induction -- 4. Rational Numbers -- 5. Functions -- 6. Polynomials -- 7. Functions, Functions and More Functions -- 8. LIpschitz Continuity -- 9. Sequences and Limits -- 10. Solving the Muddy Yard Model -- 11. Real Numbers -- 12. Functions of Real Numbers -- 13. The Bisection Algorithm -- 14. Inverse Functions -- 15. Fixed Points and Contraction Maps -- Part II-Differential and Integral Calculus -- 16. The Linearization of a Function at a Point -- 17. Analyzing the Behaviour of a Population Model -- 18. Interpretations of the Derivative -- 19. Differentiability on Intervals -- 20. Using Properties of the Derivative -- 21. The Mean Value Theorum -- 22. Derivative of Inverse Functions -- 23. Modeling with Differential Equations -- 24. Antidifferentiation -- 25. Integration -- 26. Properties of the Integral -- 27. Applications of the Integral -- 28. Rocket Propulsion and the Logarithm -- 29. Constant Relative Rate of Change and the Exponential -- 30. A Mass Spring System and the Trigonometric Functions -- 31. Fixed Point Iteration and Newton's Method -- Calculus Quagmires -- Part III-You Want Anaylsis? We've Got Your Analysis Right Here -- 32. Notions Of Continuity and Differentiability -- 33. Sequences of Functions -- 34. Relaxing Integration -- 35. Delicate Limits and Gross Behaviour -- 36. The Weierstrass Approximation Theorem -- 37. The Taylor Polynomial -- 38. Polynomial Interpolation -- 39. Nonlinear Differential Equations -- 40. The Picard Iteration -- 41. The Forward Euler Method -- A Conclusion or an Introduction? -- References.
  note: Donald Estep.
  note: Electronic resource.
  note: Includes bibliographical references (pages 607-608) and index.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Religion
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Mathematical analysis
  classification: QA300 .E785 2002eb
  classification: 515
  related item:
    title info:
      title: Practical analysis in one variable
    name:
      name part: Estep, Donald J., 1959-
    origin info:
      publisher: New York : Springer, ©2002
    identifier: (DLC) 2002020943
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 0387226443 (electronic bk.)
  identifier: 9780387226446 (electronic bk.)
  identifier: 0585472327 (electronic bk.)
  identifier: 9780585472324 (electronic bk.)
  identifier: 9780387954844
  identifier: 0387954848
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: MERUC
    record creation date: 020313
    record change date: 20260422230750.9
    record identifier: in00003513472
    language of cataloging:
      language term: eng