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- W97334810 abstract "This chapter discusses the binomial series. The binomial series gives the expansion of (1 + x ) n . When n is a positive integer, the binomial series has ( n + 1) terms and gives exactly the expansion of (1 + x ) n by repeated multiplication. When n is not a positive integer, the series does not terminate but, when | x | > 1, gives an approximation for (1 + x ) n that improves steadily as more and more terms are taken. The chapter discusses the partial fractions. The addition of fractions in algebra gives a pointer to the methods that can be used to reverse the process. The use of partial fractions enables a wider range of rational functions and other fractions to be expanded in ascending powers of x . The process of splitting into partial fractions is necessary to make it possible to apply the binomial series." @default.
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- W97334810 date "1966-01-01" @default.
- W97334810 modified "2023-09-26" @default.
- W97334810 title "THE BINOMIAL SERIES" @default.
- W97334810 doi "https://doi.org/10.1016/b978-0-08-011777-5.50013-7" @default.
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