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Convergent series
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21 $FROM THE PREFACE TO THE FIRST EDITION The theory of continued fractions deals with a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and, especially, number theory. T$	FROM THE PREFACE TO THE FIRST EDITION The theory of continued fractions deals with a special algorithm that is one of the most important tools in analysis, probability theory, mechanics, and, especially, number theory. T Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:53:25 Analysis Convergent Periodic continued fraction Fraction Mediant Series Number Convergence problem Generalized continued fraction Mathematics Continued fractions Mathematical analysis
22	Section 8.4 Section 8.4 — Divergence and Integral Tests MATH114-005 George Mason University Add to Reading List Source URL: jzschroeder.com Language: English - Date: 2014-03-26 12:30:35 Mathematics Harmonic series Integral test for convergence Series Convergent series Convergence tests Divergence Mathematical analysis Calculus Mathematical series
23	MATH114-005 — GROUP REVIEW FOR EXAM 3 — SOLUTIONS 1. Determine if the following series converge or diverge. If they converge, find the sum. State which test is used. (a) Add to Reading List Source URL: jzschroeder.com Language: English - Date: 2014-04-08 21:25:12 Mathematical series Convergence tests Real analysis Ratio test Series Natural logarithm of 2 Alternating series Integral test for convergence Convergent series Mathematical analysis Mathematics Calculus
24	Announcements Comparison test review Section 8.6 Section 8.6 — Alternating Series MATH114-005 Add to Reading List Source URL: jzschroeder.com Language: English - Date: 2014-04-02 15:40:11 Harmonic series Alternating series Convergence tests Series Conditional convergence Absolute convergence Convergent series Riemann series theorem Mathematical analysis Calculus Mathematical series
25	Announcements Section 8.5 Section 8.5 — Ratio, Root, and Comparison Tests MATH114-005 George Mason University Add to Reading List Source URL: jzschroeder.com Language: English Calculus Complex analysis Root test Ratio test Series Pi Convergence Convergent series Mathematical analysis Convergence tests Mathematical series
26	Acceleration Methods for Slowly Convergent Sequences and their Applications Naoki Osada Add to Reading List Source URL: www.cis.twcu.ac.jp Language: English - Date: 2011-11-25 23:00:30 Numerical analysis Mathematical series Perturbation theory Series acceleration Sequence transformation Series Rate of convergence Shanks transformation Euler–Maclaurin formula Mathematical analysis Mathematics Asymptotic analysis
27	Subduction Zone Magmatism In this lecture: • Convergent plate boundaries Add to Reading List Source URL: www.geology.wisc.edu Language: English - Date: 2008-03-28 15:01:25 Plate tectonics Volcanology Volcanic rocks Cratons Andesite Calc-alkaline magma series Igneous rock Subduction Tholeiitic magma series Geology Petrology Igneous petrology
28 $On the Pad´ e Table for ex and the simple continued fractions for e and eL/M$	On the Pad´ e Table for ex and the simple continued fractions for e and eL/M Add to Reading List Source URL: www.mcs.st-and.ac.uk Language: English - Date: 2007-10-12 10:25:34 Analysis Convergence Mathematical series Convergent Formal power series Classical orthogonal polynomials Mathematical analysis Mathematics Continued fractions
29	Divergent Series: why 1 + 2 + 3 + · · · = −1/12. Bryden Cais Add to Reading List Source URL: math.arizona.edu Language: English - Date: 2010-07-09 16:30:51 Divergent series Summability methods Analytic number theory Number theory Riemann zeta function Series Convergent series 1 − 2 + 3 − 4 + · · · Factorial Mathematical analysis Mathematics Mathematical series
30	SUMMING CURIOUS, SLOWLY CONVERGENT, HARMONIC SUBSERIES THOMAS SCHMELZER AND ROBERT BAILLIE Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2011-05-10 06:06:24 Integer sequences Combinatorics Number theory Linear algebra Factorial Eigenvalues and eigenvectors Pi Series Partition Mathematics Algebra Matrix theory