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Sequences and Series of Functions

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Essential Mathematics for Applied Fields

Part of the book series: Universitext ((UTX))

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Abstract

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.

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References to Additional and Related Material: Section 3

  1. Boas, R., “A Primer of Real Functions”, Carus Mathematical Monograph 13, Mathematical Association of America (1961).

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  2. Bromwich, T., “An Introduction to the Theory of Infinite Series”, Macmillan and Co. (1926).

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  3. Brand, L., “Advanced Calculus”, John Wiley and Sons, Inc. (1958).

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  4. Francis, E., “Examples in Infinite Series, with Solutions”, Deighton, Bell and Co. (1953).

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  5. Goffman, C., “Real Functions”, Holt, Reinhart and Winston, Inc. (1961).

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  6. Green, J., “Sequences and Series”, Glencoe, Ill. Free Press (1958).

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  7. Halberstam, H. and K. Roth, “Sequences”, Clarendon Press (1966).

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  8. Hirschman, I., “Infinite Series”, Holt, Reinhart and Winston, Inc.. (1962).

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  9. Hobson, E., “The Theory of Functions of a Real Variable”, Vol. II, Dover Publications, Inc.

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  10. Rainville, E., “Infinite Series”, Macmillan and Co. (1967).

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  11. Stanaitis, D., “An Introduction to Sequences, Series, and Improper Integrals”, Holden-Day, Inc. (1967).

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  12. Titchmarsh, E., “The Theory of Functions”, Second Edition, Oxford University Press (1960).

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Author information

Authors and Affiliations

  1. Niagara University, College of Arts and Sciences, Niagara University, New York, 14109, USA

    Richard M. Meyer

Authors
  1. Richard M. Meyer
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© 1979 Springer-Verlag New York Inc.

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Meyer, R.M. (1979). Sequences and Series of Functions. In: Essential Mathematics for Applied Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8072-6_3

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  • DOI: https://doi.org/10.1007/978-1-4613-8072-6_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90450-4

  • Online ISBN: 978-1-4613-8072-6

  • eBook Packages: Springer Book Archive

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