1 − 2 + 3 − 4 + ⋯ (Indonesian Wikipedia)

Analysis of information sources in references of the Wikipedia article "1 − 2 + 3 − 4 + ⋯" in Indonesian language version.

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Hardy 1949, hlm. 8. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6 menyajikan penurunan ini bersamaan dengan evaluasi deret Grandi 1 − 1 + 1 − 1 + .... Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 3; Weidlich 1950, hlm. 52–55. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 9. Untuk detail perhitungan selengkapnya, lihat Weidlich 1950, hlm. 17–18. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Shawyer & Watson 1994, hlm. 32. Shawyer, Bruce; Watson, Bruce (1994). Borel's Methods of Summability: Theory and Application. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York. ISBN 0-19-853585-6. MR 1320266.
Hardy 1949, hlm. 3; Knopp 1990, hlm. 491. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Knopp, Konrad (1990). Theory and Application of Infinite Series. New York: Dover Publications. ISBN 0486661652. LCCN 89071388.

archive.org

Hardy 1949, hlm. 8. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6 menyajikan penurunan ini bersamaan dengan evaluasi deret Grandi 1 − 1 + 1 − 1 + .... Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 3; Weidlich 1950, hlm. 52–55. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 9. Untuk detail perhitungan selengkapnya, lihat Weidlich 1950, hlm. 17–18. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Misalnya, Lavine 1994, hlm. 23 mendukung perpecahan yang panjang tetapi tidak melaksanakannya; Vretblad 2003, hlm. 231 menghitung produk Cauchy. Nasihat Euler tidak jelas; lihat Euler, Willis & Osler 2006, hlm. 3, 26. John Baez [en] bahkan menyarankan metode teori kategori yang melibatkan himpunan lonjong perkalian dan osilator harmonis kuantum. Baez, John C. Euler's Proof That 1 + 2 + 3 + ... = −1/12 (PDF). Diarsipkan 2017-10-13 di Wayback Machine. math.ucr.edu (19 Desember 2003). Diakses pada 11 Maret 2007. Lavine, Shaughan (1994). Understanding the Infinite. Harvard UP. ISBN 978-0-674-92096-5. Vretblad, Anders (2003). Fourier Analysis and Its Applications. Springer. ISBN 978-0-387-00836-3.
Hardy 1949, hlm. 3; Knopp 1990, hlm. 491. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Knopp, Konrad (1990). Theory and Application of Infinite Series. New York: Dover Publications. ISBN 0486661652. LCCN 89071388.
Grattan-Guinness 1970, hlm. 80. Lihat Markusevič 1967, hlm. 48, untuk terjemahan berbeda dari bahasa Prancis asli; nadanya tetap sama. Grattan-Guinness, Ivor (1970). The development of the foundations of mathematical analysis from Euler to Riemann. MIT Press. ISBN 978-0-262-07034-8. Markusevič, Aleksej Ivanovič (1967). Series: fundamental concepts with historical exposition (edisi ke-English translation of 3rd revised edition (1961) in Russian). Delhi, India: Hindustan Pub. Corp. hlm. 176. LCCN sa68017528. OCLC 729238507. Author also known as A. I. Markushevich and Alekseï Ivanovitch Markouchevitch. Also published in Boston, Mass by Heath with OCLC 474456247. Additionally, OCLC 208730, OCLC 487226828.

doi.org

Ferraro 1999, hlm. 130. Ferraro, Giovanni (Juni 1999). "The First Modern Definition of the Sum of a Divergent Series: An Aspect of the Rise of 20th Century Mathematics". Archive for History of Exact Sciences. 54 (2): 101–135. doi:10.1007/s004070050036.
Alabdulmohsin 2018. Alabdulmohsin, Ibrahim M. (2018). "Analytic summability theory". Summability Calculus. Springer International Publishing. hlm. 65–91. doi:10.1007/978-3-319-74648-7_4. ISBN 978-3-319-74647-0.
Ferraro 1999, hlm. 118; Tucciarone 1973, hlm. 10. Ferraro mengkritik penjelasan Tucciarone (p. 7) tentang bagaimana Hölder sendiri memikirkan hasil umum, tetapi penjelasan kedua penulis mengenai perlakuan Hölder terhadap 1 − 2 + 3 − 4 + ... serupa. Ferraro, Giovanni (Juni 1999). "The First Modern Definition of the Sum of a Divergent Series: An Aspect of the Rise of 20th Century Mathematics". Archive for History of Exact Sciences. 54 (2): 101–135. doi:10.1007/s004070050036. Tucciarone, John (Januari 1973). "The development of the theory of summable divergent series from 1880 to 1925". Archive for History of Exact Sciences. 10 (1–2): 1–40. doi:10.1007/BF00343405.
Ferraro 1999, hlm. 123–128. Ferraro, Giovanni (Juni 1999). "The First Modern Definition of the Sum of a Divergent Series: An Aspect of the Rise of 20th Century Mathematics". Archive for History of Exact Sciences. 54 (2): 101–135. doi:10.1007/s004070050036.
Kline 1983, hlm. 313. Kline, Morris (November 1983). "Euler and Infinite Series". Mathematics Magazine. 56 (5): 307–314. CiteSeerX 10.1.1.639.6923 . doi:10.2307/2690371. JSTOR 2690371.
Ferraro 1999, hlm. 120–128. Ferraro, Giovanni (Juni 1999). "The First Modern Definition of the Sum of a Divergent Series: An Aspect of the Rise of 20th Century Mathematics". Archive for History of Exact Sciences. 54 (2): 101–135. doi:10.1007/s004070050036.

jstor.org

Kline 1983, hlm. 313. Kline, Morris (November 1983). "Euler and Infinite Series". Mathematics Magazine. 56 (5): 307–314. CiteSeerX 10.1.1.639.6923 . doi:10.2307/2690371. JSTOR 2690371.

loc.gov

lccn.loc.gov

Hardy 1949, hlm. 8. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6 menyajikan penurunan ini bersamaan dengan evaluasi deret Grandi 1 − 1 + 1 − 1 + .... Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 3; Weidlich 1950, hlm. 52–55. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 9. Untuk detail perhitungan selengkapnya, lihat Weidlich 1950, hlm. 17–18. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 3; Knopp 1990, hlm. 491. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Knopp, Konrad (1990). Theory and Application of Infinite Series. New York: Dover Publications. ISBN 0486661652. LCCN 89071388.
Grattan-Guinness 1970, hlm. 80. Lihat Markusevič 1967, hlm. 48, untuk terjemahan berbeda dari bahasa Prancis asli; nadanya tetap sama. Grattan-Guinness, Ivor (1970). The development of the foundations of mathematical analysis from Euler to Riemann. MIT Press. ISBN 978-0-262-07034-8. Markusevič, Aleksej Ivanovič (1967). Series: fundamental concepts with historical exposition (edisi ke-English translation of 3rd revised edition (1961) in Russian). Delhi, India: Hindustan Pub. Corp. hlm. 176. LCCN sa68017528. OCLC 729238507. Author also known as A. I. Markushevich and Alekseï Ivanovitch Markouchevitch. Also published in Boston, Mass by Heath with OCLC 474456247. Additionally, OCLC 208730, OCLC 487226828.

psu.edu

citeseerx.ist.psu.edu

Kline 1983, hlm. 313. Kline, Morris (November 1983). "Euler and Infinite Series". Mathematics Magazine. 56 (5): 307–314. CiteSeerX 10.1.1.639.6923 . doi:10.2307/2690371. JSTOR 2690371.

ucr.edu

math.ucr.edu

Misalnya, Lavine 1994, hlm. 23 mendukung perpecahan yang panjang tetapi tidak melaksanakannya; Vretblad 2003, hlm. 231 menghitung produk Cauchy. Nasihat Euler tidak jelas; lihat Euler, Willis & Osler 2006, hlm. 3, 26. John Baez [en] bahkan menyarankan metode teori kategori yang melibatkan himpunan lonjong perkalian dan osilator harmonis kuantum. Baez, John C. Euler's Proof That 1 + 2 + 3 + ... = −1/12 (PDF). Diarsipkan 2017-10-13 di Wayback Machine. math.ucr.edu (19 Desember 2003). Diakses pada 11 Maret 2007. Lavine, Shaughan (1994). Understanding the Infinite. Harvard UP. ISBN 978-0-674-92096-5. Vretblad, Anders (2003). Fourier Analysis and Its Applications. Springer. ISBN 978-0-387-00836-3.

web.archive.org

Misalnya, Lavine 1994, hlm. 23 mendukung perpecahan yang panjang tetapi tidak melaksanakannya; Vretblad 2003, hlm. 231 menghitung produk Cauchy. Nasihat Euler tidak jelas; lihat Euler, Willis & Osler 2006, hlm. 3, 26. John Baez [en] bahkan menyarankan metode teori kategori yang melibatkan himpunan lonjong perkalian dan osilator harmonis kuantum. Baez, John C. Euler's Proof That 1 + 2 + 3 + ... = −1/12 (PDF). Diarsipkan 2017-10-13 di Wayback Machine. math.ucr.edu (19 Desember 2003). Diakses pada 11 Maret 2007. Lavine, Shaughan (1994). Understanding the Infinite. Harvard UP. ISBN 978-0-674-92096-5. Vretblad, Anders (2003). Fourier Analysis and Its Applications. Springer. ISBN 978-0-387-00836-3.

wikipedia.org

en.wikipedia.org

Misalnya, Lavine 1994, hlm. 23 mendukung perpecahan yang panjang tetapi tidak melaksanakannya; Vretblad 2003, hlm. 231 menghitung produk Cauchy. Nasihat Euler tidak jelas; lihat Euler, Willis & Osler 2006, hlm. 3, 26. John Baez [en] bahkan menyarankan metode teori kategori yang melibatkan himpunan lonjong perkalian dan osilator harmonis kuantum. Baez, John C. Euler's Proof That 1 + 2 + 3 + ... = −1/12 (PDF). Diarsipkan 2017-10-13 di Wayback Machine. math.ucr.edu (19 Desember 2003). Diakses pada 11 Maret 2007. Lavine, Shaughan (1994). Understanding the Infinite. Harvard UP. ISBN 978-0-674-92096-5. Vretblad, Anders (2003). Fourier Analysis and Its Applications. Springer. ISBN 978-0-387-00836-3.

worldcat.org

Hardy 1949, hlm. 8. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6 menyajikan penurunan ini bersamaan dengan evaluasi deret Grandi 1 − 1 + 1 − 1 + .... Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 6. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1.
Hardy 1949, hlm. 3; Weidlich 1950, hlm. 52–55. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 9. Untuk detail perhitungan selengkapnya, lihat Weidlich 1950, hlm. 17–18. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Weidlich, John E. (Juni 1950). Summability methods for divergent series. Stanford M.S. theses. OCLC 38624384.
Hardy 1949, hlm. 3; Knopp 1990, hlm. 491. Hardy, G. H. (1949). Divergent Series. Clarendon Press. xvi+396. ISBN 978-0-8218-2649-2. LCCN 49005496. MR 0030620. OCLC 808787. 2nd Ed. published by Chelsea Pub. Co., 1991. LCCN 91-75377. ISBN 0-8284-0334-1. Knopp, Konrad (1990). Theory and Application of Infinite Series. New York: Dover Publications. ISBN 0486661652. LCCN 89071388.
Grattan-Guinness 1970, hlm. 80. Lihat Markusevič 1967, hlm. 48, untuk terjemahan berbeda dari bahasa Prancis asli; nadanya tetap sama. Grattan-Guinness, Ivor (1970). The development of the foundations of mathematical analysis from Euler to Riemann. MIT Press. ISBN 978-0-262-07034-8. Markusevič, Aleksej Ivanovič (1967). Series: fundamental concepts with historical exposition (edisi ke-English translation of 3rd revised edition (1961) in Russian). Delhi, India: Hindustan Pub. Corp. hlm. 176. LCCN sa68017528. OCLC 729238507. Author also known as A. I. Markushevich and Alekseï Ivanovitch Markouchevitch. Also published in Boston, Mass by Heath with OCLC 474456247. Additionally, OCLC 208730, OCLC 487226828.