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Titlebook: Elements of Mathematics for Economics and Finance; Vassilis C. Mavron,Timothy N. Phillips Textbook 20071st edition Springer-Verlag London

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The Exponential and Logarithmic Functions,ions are useful for investigating problems associated with economic growth and decay and mathematical problems in finance such as the compounding of interest on an investment or the depreciation of an asset. For example, if a person invests £3,000 in an investment bond for which there is a guarantee
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Maxima and Minima,ry use of the derivative in economic analysis is related to the process of optimization. Optimization is defined to be the process of determining the local or relative maximum or minimum of a function.
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Matrices and Determinants,l in the theory of equations. They can be used to solve systems of simultaneous linear equations. Determinants are related to matrices and are useful for determining whether or not a unique solution exists. In some cases using determinants, the solution for each unknown can be expressed explicitly i
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https://doi.org/10.1007/978-3-663-10714-9his functional relationship. For instance, when . = 2, . = 3 × 2 + 5 = 11 and when . = −3, . = 3 × (−3) + 5 = −4. We will say more about functions in Chapter 4. Linear equations or functions may be portrayed by a straight line on a graph. In this chapter, we introduce graphs and give a number of exa
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https://doi.org/10.1007/978-3-322-99921-4ial functions are functions in which a constant base a is raised to a variable exponent .. The general form of an exponential function is given by . = ., where . > 0 and . ≠ 1. (5.1) The parameter a is known as the base of the exponential function. The independent variable x occurs as the exponent o
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