Abstract
This chapter is devoted entirely to the theory and application of infinite products, and as a consolation prize, we also talk about partial fractions.
This is a preview of subscription content, log in via an institution.
Notes
- 1.
Such shocking connections in science perhaps made Albert Einstein (1879–1955) state that “the scientist’s religious feeling takes the form of a rapturous amazement at the harmony of natural law, which reveals an intelligence of such superiority that, compared with it, all the systematic thinking and acting of human beings is an utterly insignificant reflection” [112].
- 2.
Explicitly, “\(p \not \mid \ \text {both}\ m, n\)” means “it’s not the case that p|m and p|n”.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Paul Loya
About this chapter
Cite this chapter
Loya, P. (2017). More on the Infinite: Products and Partial Fractions. In: Amazing and Aesthetic Aspects of Analysis. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6795-7_7
Download citation
DOI: https://doi.org/10.1007/978-1-4939-6795-7_7
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-6793-3
Online ISBN: 978-1-4939-6795-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)