The Resource Real analysis via sequences and series, Charles H.C. Little, Kee L. Teo, Bruce van Brunt

Real analysis via sequences and series, Charles H.C. Little, Kee L. Teo, Bruce van Brunt

Label
Real analysis via sequences and series
Title
Real analysis via sequences and series
Statement of responsibility
Charles H.C. Little, Kee L. Teo, Bruce van Brunt
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating℗l definitions, results, and proofs. Simple examples℗l are provided to℗l illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallisĺls formula and Stirlingĺls formula, proofs of the irrationality of ll and e, and a treatment of Newtonĺls method as a special instance of finding fixed points of iterated functions
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1947-
http://library.link/vocab/creatorName
Little, Charles H. C.
Dewey number
515/.8
Illustrations
illustrations
Index
index present
LC call number
QA300
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Teo, Kee L.
  • Van Brunt, B.
Series statement
Undergraduate Texts in Mathematics,
http://library.link/vocab/subjectName
  • Mathematical analysis
  • Functions of real variables
  • Sequences (Mathematics)
  • Functions of real variables
  • Mathematical analysis
  • Sequences (Mathematics)
  • Mathematics
  • Physical Sciences & Mathematics
  • Calculus
  • Mathematics
  • Real Functions
  • Sequences, Series, Summability
  • Mathematics
  • Calculus & mathematical analysis
  • Real analysis, real variables
Label
Real analysis via sequences and series, Charles H.C. Little, Kee L. Teo, Bruce van Brunt
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-1-4939-2651-0
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Introduction -- 2. Sequences -- 3. Series -- 4. Limits of Functions -- 5. Continuity -- 6. Differentiability -- 7. The Riemann Integral -- 8. Taylor Polynomials and Taylor Series -- 9. The Fixed Point Problem -- 10. Sequences of Functions -- Bibliography -- Index
Dimensions
unknown
Extent
1 online resource (xi, 476 pages)
File format
unknown
Form of item
online
Isbn
9781493926510
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-1-4939-2651-0
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910877573
  • (OCoLC)ocn910877573
Label
Real analysis via sequences and series, Charles H.C. Little, Kee L. Teo, Bruce van Brunt
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-1-4939-2651-0
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1. Introduction -- 2. Sequences -- 3. Series -- 4. Limits of Functions -- 5. Continuity -- 6. Differentiability -- 7. The Riemann Integral -- 8. Taylor Polynomials and Taylor Series -- 9. The Fixed Point Problem -- 10. Sequences of Functions -- Bibliography -- Index
Dimensions
unknown
Extent
1 online resource (xi, 476 pages)
File format
unknown
Form of item
online
Isbn
9781493926510
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-1-4939-2651-0
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)910877573
  • (OCoLC)ocn910877573

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