Abstract
Up to this point in our development we have concerned ourselves primarily with algebraic structure of mathematical systems. In the present chapter we focus our attention on topological structure. In doing so, we introduce the concepts of “distance” and “closeness.” In the final two chapters we will consider mathematical systems endowed with algebraic as well as topological structure.
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References
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations. New York: McGraw-Hill Book Company, Inc., 1955.
E. T. Copson, Metric Spaces. Cambridge, England: Cambridge University Press, 1968.
A. M. Gleason, Fundamentals of Abstract Analysis. Reading, Mass.: Addison-Wesley Publishing Co., Inc., 1966.
M. E. Goldstein and B. M. Rosenbaum, “Introduction to Abstract Analysis,” National Aeronautics and Space Administration, Report No. SP-203, Washington, D.C., 1969.
L. V. Kantorovich and G. P. Akilov, Functional Analysis in Normed Spaces. New York: The Macmillan Company, 1964.
J. Kelley, General Topology. Princeton, N.J.: D. Van Nostrand Company, Inc., 1955.
A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis. Vol. 1. Albany, N.Y.: Graylock Press, 1957.
A. W. Naylor and G. R. Sell, Linear Operator Theory in Engineering and Science. New York: Holt, Rinehart and Winston, 1971.
H. L. Royden, Real Analysis. New York: The Macmillan Company, 1965.
A.E. Taylor, General Theory of Functions and Integration. New York: Blaisdell Publishing Company, 1965.
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Michel, A.N., Herget, C.J. (2007). Metric Spaces. In: Algebra and Analysis for Engineers and Scientists. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4707-0_5
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DOI: https://doi.org/10.1007/978-0-8176-4707-0_5
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4706-3
Online ISBN: 978-0-8176-4707-0
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