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Abstract

The basic rules of algebra are reviewed. The finite and infinite series, including the expansion of a function, are introduced and some applications to finance and economics are discussed.

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Notes

  1. 1.

    https://en.wikipedia.org/wiki/Riemann_series_theorem#Changing_the_sum.

  2. 2.

    The Taylors series is given by https://en.wikipedia.org/wiki/Squareroot.

  3. 3.

    A transcendental number is not the roote of any polynomial.

  4. 4.

    For more than one commodity, the maximization becomes a nontrivial problem; we will return to this later.

  5. 5.

    Sukuks based on payments coming from rental incomes have fixed coupons equal to the rental payments.

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Correspondence to Belal Ehsan Baaquie .

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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Baaquie, B.E. (2020). Series and Functions. In: Mathematical Methods and Quantum Mathematics for Economics and Finance. Springer, Singapore. https://doi.org/10.1007/978-981-15-6611-0_1

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