Abstract
The number system of ordinary algebra, comprising the so-called “real numbers ”, is not sufficient to describe oscillatory movements in variables. In particular, it does not provide solutions of differential or difference equations, except in special cases. An extension of the number system is needed to include what are called complex numbers.
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References
Allen (R. G. D. (1938) : Mathematical Analysis for Economists (Macmillan, 1938), Chapters IX and XVII.
Courant (R. and Robbins H. (1941) : What is Mathematics? (Oxford, 1941), Chapter IL
Durell (C. V.) and Robson (A.) (1937) : Advanced Algebra (Bell, 1937), Chapter VIII and XIII.
Littlewood (D. E.) (1949) : The Skeleton Key of Mathematics (Hutchinson, 1949), Chapters V and VI.
Titchmarsh (E. C.) (1949) : Mathematics for the General Reader (Hutchinson, 1949), Chapter IX.
Tustin (A.) (1953): The Mechanism of Economic Systems (Heinemann, 1953), Chapter III.
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© 1959 R. G. D. Allen
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Allen, R.G.D. (1959). Mathematical Analysis: Complex Numbers. In: Mathematical Economics. Palgrave Macmillan, London. https://doi.org/10.1007/978-1-349-81547-0_4
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DOI: https://doi.org/10.1007/978-1-349-81547-0_4
Publisher Name: Palgrave Macmillan, London
Print ISBN: 978-1-349-81549-4
Online ISBN: 978-1-349-81547-0
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