Numerical Methods for Engineers
Lecture 1 Binary numbers View this lecture on YouTube We do our arithmetic using decimals, which is a base-ten positional number system. For example, the meaning of the usual decimal notation is illustrated by 524.503 = 5 102 +2 101 +4 100 +5 10 1 +0 10 2 +3 10 3. Each position in a decimal number corresponds to a power of 10.
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5. Taylor and Laurent series Complex sequences and series
www.math.hkust.edu.hk5. Taylor and Laurent series Complex sequences and series An infinite sequence of complex numbers, denoted by {zn}, can be considered as a function defined on a set of positive integers into the unextended complex plane. For example, we take zn= n+ 1 2n so that the complex sequence is {zn} = ˆ1 + i 2, 2 + i 22, 3 + i 23 ...
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Differential Equations for Engineers
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www.math.hkust.edu.hk4. Complex integration: Cauchy integral theorem and Cauchy integral formulas Definite integral of a complex-valued function of a real variable Consider a complex valued function f(t) of a real variable t: f(t) = u(t) + iv(t), which is assumed to be a piecewise continuous function defined in the closed interval a ≤ t ≤ b.
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Numerical Methods - Hong Kong University of Science and ...
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