The Theory of Infinite Series

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Published 1964 by National Pub. House in Delhi, India .
Written in

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Edition Notes

Includes index.

Statement	by P.L. Bhatnagar and C.N. Srinivasienagr [sic].
The Physical Object
Format	Hardcover
Pagination	194, ii pages ; 22 cm
Number of Pages	194
ID Numbers
Open Library	OL26881578M
OCLC/WorldCa	2041498

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We discuss various uses of infinite series in the 17th and 18th centuries. In particular we look at the geometric series, power series of log, the Gregory-Newton interpolation formula, Taylor's formula, the Bernoulli's, Euler's summation of the reciprocals of the squares as pi squared over 6, the harmonic series, product expansion of sin(x), the zeta function and Euler's product expansion for. This unusually clear and interesting classic offers a thorough and reliable treatment of an important branch of higher analysis. The work covers real numbers and sequences, foundations of the theory of infinite series, and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, and other topics).

In our infinite series class (Winter ), we will investigate a range of techniques for evaluating infinite series in closed form. Typically, students only learn how to evaluate a very small number of infinite series, such as geometric series and telescoping series. However, there are many fascinating approaches available for evaluating other types of infinite. Other chapters provide a discussion of the theory of finite convex games. This book discusses as well the extension of the theory of convex continuous games to generalized convex games, which leads to the characterization that such games possess optimal strategies of finite type. In mathematics, a geometric series is a series with a constant ratio between successive faburrito.com example, the series + + + + ⋯ is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. Geometric series are among the simplest examples of infinite series with finite sums, although not all of them have this property.

Mar 01,  · This introduction is followed by an extensive account of the theory of sequences and the actual theory of infinite series. The latter is covered in two stages: (1) the classical theory (2) later developments of the 19th faburrito.com: This text for advanced undergraduate and graduate students begins with a discussion of the basics of infinite series and advances to Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. An appendix includes material on set and sequence operations and continuous functions. edition. This book is not out of date, if any math graduate student can find the time to read it, they definitely should. Had it been written 20 years earlier then it would be too old to read today, but happily the notation has been pretty well locked in since the 's.