Search Results - "topology"

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    A Guide to Additive Manufacturing

    Published 2022
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    Electronic eBook
  12. 432

    A Primer of Real Analysis by Sloughter, Dan

    Published 2009
    Table of Contents: “…1 Fundamentals -- 1.1 Sets and relations -- 1.2 Functions -- 1.3 Rational numbers -- 1.4 Real Numbers -- 2 Sequences and Series -- 2.1 Sequences -- 2.2 Infinite series -- 3 Cardinality -- 3.1 Binary representations -- 3.2 Countable and uncountable sets -- 3.3 Power sets -- 4 Topology of the Real Line -- 4.1 Intervals -- 4.2 Open sets -- 4.3 Closed sets -- 4.4 Compact Sets -- 5 Limits and Continuity -- 5.1 Limits -- 5.2 Monotonic functions -- 5.3 Limits to infinity and infinite limits -- 5.4 Continuous Functions -- 6 Derivatives -- 6.1 Best linear approximations -- 6.2 Derivatives -- 6.3 Mean Value Theorem -- 6.4 Discontinuities of derivatives -- 6.5 l'Hˆopital's rule -- 6.6 Taylor's Theorem -- 7 Integrals -- 7.1 Upper and lower integrals -- 7.2 Integrals -- 7.3 Integrability conditions -- 7.4 Properties of integrals -- 7.5 The Fundamental Theorem of Calculus -- 7.6 Taylor's theorem revisited -- 7.7 An improper integral -- 8 More Functions -- 8.1 The arctangent function -- 8.2 The tangent function -- 8.3 The sine and cosine Functions -- 8.4 The logarithm function -- 8.5 The exponential function -- Index…”
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