Abstract
Physics is an exact science of approximation. Although this statement sounds like an oximoron, it does summarize the nature of physics. All the laws we deal with in physics are mathematical laws, and as such, they are exact. However, once we try to apply them to Nature, they become only approximations. Therefore, methods of approximation play a central role in physics. One such method is infinite series which we study in this chapter.
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Additional Reading
Kaplan, W. Advanced Calculus, Addison-Wesley, 1991, has a thorough discussion of infinite series in Chapter 6.
Arfken, G.B. and Weber, H.J. Mathematical Methods for Physicists, Academic Press, 1995, Chapter 5.
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© 2000 Springer Science+Business Media New York
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Hassani, S. (2000). Infinite Series. In: Mathematical Methods. Undergraduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21562-4_5
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DOI: https://doi.org/10.1007/978-0-387-21562-4_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4899-0529-1
Online ISBN: 978-0-387-21562-4
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