Abstract
Complex numbers play a very useful role in applied mathematics. As an example, let us consider the behavior of a particle of mass m constrained to move in one dimension under the influence of an elastic force,
where x is the displacement of the particle from its equilibrium position andk is a constant. This relation is known as Hooke’s law. From Newton’s second law of motion (F = ma), we have
or
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© 2002 Springer-Verlag New York, Inc.
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Seaborn, J.B. (2002). Complex Numbers. In: Mathematics for the Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9279-8_4
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DOI: https://doi.org/10.1007/978-1-4684-9279-8_4
Publisher Name: Springer, New York, NY
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Online ISBN: 978-1-4684-9279-8
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