Sequences and Series of Functions

  • Richard M. Meyer
Part of the Universitext book series (UTX)


The natural and useful outgrowths of sequences and series of numbers are the parallel concepts of sequences and series of functions. In many areas of Applied Mathematics we must deal with these two notions.


Limit Function Uniform Convergence Bounded Interval Infinite Series Convergent Sequence 
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References to Additional and Related Material: Section 3

  1. 1.
    Boas, R., “A Primer of Real Functions”, Carus Mathematical Monograph 13, Mathematical Association of America (1961).Google Scholar
  2. 2.
    Bromwich, T., “An Introduction to the Theory of Infinite Series”, Macmillan and Co. (1926).Google Scholar
  3. 3.
    Brand, L., “Advanced Calculus”, John Wiley and Sons, Inc. (1958).Google Scholar
  4. 4.
    Francis, E., “Examples in Infinite Series, with Solutions”, Deighton, Bell and Co. (1953).Google Scholar
  5. 5.
    Goffman, C., “Real Functions”, Holt, Reinhart and Winston, Inc. (1961).Google Scholar
  6. 6.
    Green, J., “Sequences and Series”, Glencoe, Ill. Free Press (1958).Google Scholar
  7. 7.
    Halberstam, H. and K. Roth, “Sequences”, Clarendon Press (1966).Google Scholar
  8. 8.
    Hirschman, I., “Infinite Series”, Holt, Reinhart and Winston, Inc.. (1962).Google Scholar
  9. 9.
    Hobson, E., “The Theory of Functions of a Real Variable”, Vol. II, Dover Publications, Inc.Google Scholar
  10. 10.
    Rainville, E., “Infinite Series”, Macmillan and Co. (1967).Google Scholar
  11. 11.
    Stanaitis, D., “An Introduction to Sequences, Series, and Improper Integrals”, Holden-Day, Inc. (1967).Google Scholar
  12. 12.
    Titchmarsh, E., “The Theory of Functions”, Second Edition, Oxford University Press (1960).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Richard M. Meyer
    • 1
  1. 1.Niagara University, College of Arts and SciencesNiagara UniversityUSA

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