An introduction to analysis

by Kirkwood, James R.

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Title Statements

Full title :An introduction to analysis / James R. Kirkwood.

Edition Statements

Publication Date:©1989.

Publication Statements

Publisher(s):PWS-Kent
Place of Publication:Boston
Language:eng
Publication Date:©1989.

The Physical Object

Description:xii, 276 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:0534915000, 9780534915001
oclc:ocm18684283
LC Classification:QA300
Dewey Decimal:515

1. The real number system. Sets and functions -- Properties of the real numbers as an ordered field -- The completeness axiom. 2. Sequences of real numbers. Sequences of real numbers -- Subsequences -- The Bolzano-Weierstrass theorem. 3. Topology of the real numbers. Topology of the real numbers. 4. Continuous functions. Limits and continuity -- Monotone and inverse functions. 5. Differentiation. The derivative of a function -- Some mean value theorems. 6. Integration. The Riemann integral -- Some properties and applications of the Riemann integral -- The Riemann-Stieltjes integral (optional). 7. Series of real numbers. Tests for convergence of series -- Operations involving series. 8. Sequences and series of functions. Sequences of functions -- Series of functions -- Taylor series. 9. Fourier series. Fourier coefficients -- Representation by Fourier series.