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Series, Infinite

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• Series

• Series, Infinite -- Early works to 1800
• Series, Infinite -- History
• Partial sums (Series)
• Series, Orthogonal
• Tauberian theorems

• Infinite series

• Interpolation and Approximation by Rational Functions in the Complex Domain (American Mathematical Society Colloquium Publications v20, second edition; 1956), by J. L. Walsh (page images at HathiTrust)
• On the Definition of the Sum of a Divergent Series, by Louis Lazarus Silverman (page images at Cornell)
• A Course of Modern Analysis: An Introduction to the General Theory of Infinite Processes and of Analytic Functions; With an Account of The Principal Transcendental Functions (second edition; Cambridge, UK: At the University Press, 1915), by E. T. Whittaker and G. N. Watson (multiple formats at archive.org)
• Irrational Numbers and Their Representation by Sequences and Series, by Henry Parker Manning (page images at Cornell)
• Erlaeuterungen ueber die kaestnerische analysis der unendlichen (In der Kriegerischen buchhnadlung, 1778), by Karl Christian von Langsdorf and Abraham Gotthelf Kaestner (page images at HathiTrust)
• A treatise on plane trigonometry (University Press, 1911), by Ernest William Hobson (page images at HathiTrust)
• A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions (The University Press, 1940), by E. T. Whittaker and G. N. Watson (page images at HathiTrust; US access only)
• A dissertation on the summation of infinite converging series with algebraic divisors. Exhibiting a method not only entirely new but much more general than any other which has hitherto appeared on the subject. (Printed for the author; and sold by Mr. Murray, 1779), by Antonio Mario Lorgna, Henry Clarke, and John Landen (page images at HathiTrust)
• Versuch einer neuen summationsmethode nebst andern damit zusammenhängenden analytischen bemerkungen (C. F. Himburg, 1788), by Johann Friedrich Pfaff (page images at HathiTrust)
• Antonii Marii Lorgna De casu irreductibili tertii gradus et seriebus infinitis exercitatio analytica. (Typis M. Moroni, 1776), by Antonio Mario Lorgna (page images at HathiTrust)
• Zwei abhandlungen über unendliche (1871) und trigonometrische reihen (1874) (W. Engelmann, 1912), by Paul Du Bois-Reymond and Philip Edward Bertrand Jourdain (page images at HathiTrust; US access only)
• Untersuchungen über die Reihe: 1 + (m/1)x + m·(m - 1)/(1·2)·x²+ m·(m - 1)·(m - 2)/(1·2·3)·x³+ ... (W. Engelmann, 1895), by Niels Henrik Abel and Albert i.e. Friedrich Heinrich Albert Wangerin (page images at HathiTrust)
• Allgemeine untersuchungen über die unendliche reihe. 1 + a_(1·_ + a(a + 1)__+ 1)/(1·2·_xx + a(a + 1)(a + 2)__+ 1)(_+ 2)/(1·2·3·__+ 1)(_+ 2))x³+ U. S. W. (J. Springer, 1888), by Carl Friedrich Gauss and Heinrich Simon (page images at HathiTrust)
• Elements of the theory of infinite processes (McGraw-Hill book company, inc., 1923), by Lloyd Leroy Smail (page images at HathiTrust)
• Serie trigonometriche. (N. Zanichelli, 1928), by Leonida Tonelli (page images at HathiTrust; US access only)
• De infinitis infinitorum, et infinite parvorum ordinibus disquisitio geometrica ... (ex typographia F. Bindi, 1710), by Guido Grandi (page images at HathiTrust)
• Geschichte der unendlichen Reihen (Laupp'schen Buchh., 1889), by R. Reiff (page images at HathiTrust)
• Cours d'analyse de l'École polytechnique (Gauthier-Villars et fils, 1893), by Camille Jordan (page images at HathiTrust)
• Über die zusammengehörigen konvergenzradien (Druck von B. G. Teubner, 1905), by Georg Faber (page images at HathiTrust; US access only)
• Traité élémentaire des séries. (Leiber et Faraguet, 1860), by Eugène Charles Catalan (page images at HathiTrust)
• Examples in infinite series, with solutions (Deighton, Bell & co., ltd., 1928), by E. C. Francis and John E. Littlewood (page images at HathiTrust; US access only)
• Introduction to infinite series (Harvard University , 1897), by William F. Osgood (page images at HathiTrust)
• Unendliche reihen (und Berlin, 1925), by Kuno Fladt (page images at HathiTrust; US access only)
• Traité d'analyse (Gauthier-Villars et fils, 1901), by Emile Picard (page images at HathiTrust; US access only)
• Über unendliche reihen (1689-1704) (W. Engelmann, 1909), by Jakob Bernoulli and Gerhard Kowalewski (page images at HathiTrust; US access only)
• An introduction to the theory of infinite series (Macmillan and Co., limited, 1908), by Thomas John I'Anson Bromwich (page images at HathiTrust)
• An introduction to the theory of infinite series (Macmillan, 1926), by Thomas John I'Anson Bromwich and Thomas Murray MacRobert (page images at HathiTrust; US access only)
• Abhandlung über die darstellung der funktionen durch trigonometrische reihen (1876) (W. Engelmann, 1912), by Paul Du Bois-Reymond and Philip E. B. Jourdain (page images at HathiTrust; US access only)
• Méthodes et problèmes de théorie des fonctions (Gauthier-Villars et Cie, 1922), by Emile Borel (page images at HathiTrust; US access only)
• Die allgemeine Umkehrung gegebener Funktionen : eine Monographie. (Druck und Verlag von H. W. Schmidt, 1849), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Theorie und Anwendung der unendlichen Reihen. (J. Springer, 1922), by Konrad Knopp (page images at HathiTrust; US access only)
• Theory and application of infinite series (Blackie & Son Limited, 1928), by Konrad Knopp and R. C. Young (page images at HathiTrust; US access only)
• Specimen de seriebus convergentibus (Typis Marci Moroni, 1775), by Antonio Mario Lorgna (page images at HathiTrust)
• Lehrbuch der unendlichen reihen. (B.G. Teubner, 1909), by Niels Nielsen (page images at HathiTrust; US access only)
• Cours d'analyse de l'école polytechnique (Gauthier-Villars, 1882), by Camille Jordan (page images at HathiTrust)
• Methodus differentialis : sive, Tractatus de summatione et interpolatione serierum infinitarum. (prostat apud J. Whiston & B. White, in Fleetstreet, 1764), by James Stirling (page images at HathiTrust)
• Cours d'analyse de l'École polytechnique (Gauthier-Villars, 1909), by Camille Jordan (page images at HathiTrust; US access only)
• The algebra of coplanar vectors and trigonometry. (Macmillan, 1892), by R. Baldwin Hayward (page images at HathiTrust)
• Vorlesungen über Kreis- und Kugel-Functionenreihen (B. G. Teubner, 1897), by Johannes Frischauf (page images at HathiTrust)
• The elements of a new arithmetical notation and of a new arithmetic of infinites:in two books ... with an appendix concerning some properties of perfect, amicable, and other numbers... (Printed for Hurst, Robinson, and co.,Cheapside; and A. Constable and co., Edinburgh, 1823), by Thomas Taylor (page images at HathiTrust)
• Traité d'analyse. (Gauthier-Villars, 1922), by Emile Picard (page images at HathiTrust; US access only)
• A course of modern analysis. An introduction to the general theory of infinite series and of analytic functions, with an account of the principal transcendental functions. (University Press, 1902), by E. T. Whittaker (page images at HathiTrust; US access only)
• Theorie und Anwendung der unendlichen Reihen (J. Springer, 1924), by Konrad Knopp (page images at HathiTrust; US access only)
• On the definition of the sum of a divergent series (University of Missouri, 1913), by Louis Lazarus Silverman (page images at HathiTrust)
• The numerical evaluation of the incomplete B-function : or of the integral x (1-x) dx for ranges of x between 0 and 1 (Cambridge university press, 1921), by H. E. Soper (page images at HathiTrust)
• A course of modern analysis; an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions (University Press, 1920), by E. T. Whittaker and G. N. Watson (page images at HathiTrust; US access only)
• Irrational numbers and their representation by sequences and series (J. Wiley & sons; [etc., etc.], 1906), by Henry Parker Manning (page images at HathiTrust)
• Leçons sur les séries à termes positifs professées au Collège de France (Gauthier-Villars, 1991), by Emile Borel and Robert d' Adhémar (page images at HathiTrust; US access only)
• Padé approximants. (1927), by H. S. Wall (page images at HathiTrust; US access only)
• Traité d'analyse (Gauthier-Villars et fils, 1896), by Emile Picard (page images at HathiTrust; US access only)
• A treatise on plane trigonometry (University Press, 1921), by Ernest William Hobson (page images at HathiTrust; US access only)
• Introduction to infinite series (Harvard University, 1902), by William F. Osgood (page images at HathiTrust; US access only)
• A treatise on plane trigonometry (University press, 1928), by Ernest William Hobson (page images at HathiTrust; US access only)
• Leçons sur les séries à termes positifs professées au Collège de France (Gauthier-Villars, 1902), by Emile Borel and Robert d' Adhémar (page images at HathiTrust; US access only)
• A course of modern analysis: an introduction to the general theory of infinite processes and of analytic functions, with an account of the principal transcendental functions (University Press, 1927), by E. T. Whittaker and G. N. Watson (page images at HathiTrust; US access only)
• Theoretische arithmetik (B. G. Teubner, 1902), by Otto Stolz and Joseph Anton Gmeiner (page images at HathiTrust; US access only)
• A treatise on plane trigonometry (University Press, 1918), by Ernest William Hobson (page images at HathiTrust; US access only)
• Introduction to infinite series (Harvard University, 1910), by William F. Osgood (page images at HathiTrust)
• Über eine Verallgemeinerung des Tauberschen Satzes und seine Ausdehnung auf n-fache Reihen (München, 1924), by C. M. Grisar (page images at HathiTrust; US access only)
• Over oneindige reeksen (P. Noordhoff, 1923), by Maurits Joost Belinfante (page images at HathiTrust; US access only)
• Allgemeine Untersuchungen über die unendliche Reihe 1+[mathematical formula]+u.s.w. (J. Springer, 1888), by Carl Friedrich Gauss and Heinrich Simon (page images at HathiTrust)
• Lehrbuch der differentialrechnung und reihentheorie mit strenger begründung der infinitesimalrechnung. (Berlin, 1865), by Reinhold Hoppe (page images at HathiTrust)
• Die grundbegriffe der iterations-rechnung ... (Buchdruckerei K.J. Wyss, 1902), by Otto Spiess (page images at HathiTrust; US access only)
• Kritisch-historische untersuchungen über die transzendenz von e und [pi] ... (Fischer, 1917), by Walter Streit (page images at HathiTrust; US access only)
• Cours d'analyse mathématique. (Gauthier-Villars, 1917), by Édouard Goursat (page images at HathiTrust; US access only)
• Über rekurrente reihen von höherer, insbesondere von der dritten ordnung ... (Thomas, 1919), by Max Emil Fritz Dräger (page images at HathiTrust; US access only)
• Cours d'analyse de l'École polytechnique (Gauthier-Villars et fils, 1883), by Camille Jordan (page images at HathiTrust)
• Anfangsgründe der algebraischen analysis nebst ergänzungen zur arithmetik für den schul- und selbst-unterricht (G.D. Bädeker, 1870), by Karl Koppe (page images at HathiTrust)
• Theoretische Arithmetik (B. G. Teubner, 1900), by Otto Stolz and Josef Anton Gmeiner (page images at HathiTrust; US access only)
• A treatise on plane trigonometry (University press, 1897), by Ernest William Hobson (page images at HathiTrust)
• Leçons sur les séries à termes positifs professées au Collège de France (Gauthier-Villars, 1902), by Émile Borel and Robert d' Adhémar (page images at HathiTrust; US access only)
• Lehrbuch der unendlichen Reihen. (B. G. Teubner, 1909), by Niels Nielsen (page images at HathiTrust; US access only)
• Algebra complementare / cPer S. Pincherle. (Milano : bHoepli, c1917., 1917), by Salvatore Pincherle (page images at HathiTrust; US access only)
• Handbuch der algebraischen Analysis. (F. Frommann, 1873), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Some efficient methods for obtaining infinite series solutions of n[superscript th]-order linear ordinary differential equations (National Aeronautics and Space Administration ;, 1972), by Gabriel Allen and Lewis Research Center (page images at HathiTrust)
• Algebraischen analysis, Handbuch der. (F. Frommann, 1868), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Handbuch der algebraischen Analysis (F. Frommann, 1862), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Traité d'analyse (Gauthier-Villars et fils, 1893), by Emile Picard (page images at HathiTrust; US access only)
• Lehrbuch der unendlichen Reihen. (B. G. Teubner, 1909), by Niels Nielsen (page images at HathiTrust; US access only)
• Cours d'analyse de l'École polytechnique (Gauthier-Villars et fils, 1896), by Camille Jordan (page images at HathiTrust; US access only)
• Conditions under which functions may be represented by infinite series (1904), by E. B. Lytle (page images at HathiTrust; US access only)
• Term by term integration of infinite series (1902), by Lewis Omer (page images at HathiTrust; US access only)
• Handbuch der algebraischen Analysis (F. Frommann, 1881), by Oskar Xaver Schlömilch (page images at HathiTrust)
• Sobre o desenvolvimento das funcçoes em série (L. Aguado, 1897), by Francisco Gomes Teixeira (page images at HathiTrust)
• Irrational numbers and their representation by sequences and series (J. Wiley & sons; [etc., etc.], 1906), by Henry Parker Manning (page images at HathiTrust)
• On the definition of the sum of a divergent series. (University of Missouri, 1913), by Louis Lazarus Silverman (page images at HathiTrust)
• Asymptotic expansions; technical report 1-3. (Dept. of Mathematics, University of California, 1954), by J. G. van der Corput, California. University. Dept. of Mathematics, and United States. Air Force. Air Research and Development Command (page images at HathiTrust; US access only)
• Theory and application of infinite series (Hafner, 1928), by Konrad Knopp (page images at HathiTrust)

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