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Abstract

Sets, sequences, series, and functions occur in every area of Applied Mathematics. Sets will be designated by capital letters A, B, Al, C2,… and so on; individual members of sets will be designated by lower case letters x, y, al, a2, b, … and so on.

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References to Additional and Related Material: Section 1

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

    Google Scholar 

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

    Google Scholar 

  3. Ford, W., “Divergent Series”, Chelsea Publishing Co., Inc. (1960).

    Google Scholar 

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

    Google Scholar 

  5. Goldberg, S., “Probablity: an Introduction”, Prentice- Hall, Inc. (1964).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  10. Hyslop, J., “Infinite Series”, Oliver and Boyd, Ltd. (1959).

    Google Scholar 

  11. Jolley, L., “Summation of Series”, Second Edition, Dover Publications Inc. (1961).

    Google Scholar 

  12. Knopp, K., “Infinite Sequences and Series”, Dover Publications, Inc.

    Google Scholar 

  13. Lipschutz, S., “Schaum’s Outline of Theory and Problems of Set Theory and Related Topics”, Schaum Publishing Co. (1964).

    Google Scholar 

  14. Rainville, E., “Infinite Series”, Macmillan and Co. (1963).

    Google Scholar 

  15. Royden, H., “Real Analysis”, Macmillan and Co. (1963).

    Google Scholar 

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

    Google Scholar 

  17. Thielman, H., “Theory of Functions of Real Variables”, Prentice-Hall, Inc. (1959).

    Google Scholar 

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© 1979 Springer-Verlag New York Inc.

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Meyer, R.M. (1979). Sets, Sequences, Series, and Functions. In: Essential Mathematics for Applied Fields. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8072-6_1

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  • DOI: https://doi.org/10.1007/978-1-4613-8072-6_1

  • 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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