Rangkap tiga Pythagoras (Indonesian Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rangkap tiga Pythagoras" in Indonesian language version.

refsWebsite

Global rank Indonesian rank

10doi.org

2^nd place

4^th place

7books.google.com

3^rd place

6^th place

5jstor.org

26^th place

53^rd place

5oeis.org

742^nd place

2,113^th place

4web.archive.org

1^st place

3worldcat.org

5^th place

7^th place

2archive.org

6^th place

2^nd place

2nctm.org

low place

2fau.edu

6,442^nd place

7,128^th place

2ams.org

451^st place

828^th place

2umn.edu

1,266^th place

1,369^th place

1loc.gov

70^th place

87^th place

1maa.org

3,479^th place

4,695^th place

1clarku.edu

6,602^nd place

3,605^th place

1arxiv.org

69^th place

207^th place

1wolfram.com

513^th place

419^th place

1sjsu.edu

6,511^th place

6,100^th place

1psu.edu

207^th place

525^th place

1deanza.edu

low place

1harvard.edu

18^th place

44^th place

1unirioja.es

1,252^nd place

low place

1sites.google.com

626^th place

575^th place

1niu.edu

5,325^th place

576^th place

1discovermagazine.com

3,042^nd place

3,601^st place

ams.org

(Alperin 2005) Alperin, Roger C. (2005), "The modular tree of Pythagoras" (PDF), American Mathematical Monthly, 112 (9): 807–816, CiteSeerX 10.1.1.112.3085 , doi:10.2307/30037602, JSTOR 30037602, MR 2179860 ]
Elkies, Noam (1988), "On A⁴ + B⁴ + C⁴ = D⁴", Mathematics of Computation, 51 (184): 825–835, doi:10.2307/2008781, JSTOR 2008781, MR 0930224

archive.org

Beauregard, Raymond A.; Suryanarayan, E. R. (2000), "Parametric representation of primitive Pythagorean triples", dalam Nelsen, Roger B., Proofs Without Words: More Exercises in Visual Thinking, II, Mathematical Association of America, hlm. 120, ISBN 978-0-88385-721-2, OCLC 807785075
Posamentier, Alfred S. (2010), The Pythagorean Theorem: The Story of Its Power and Beauty, Prometheus Books, hlm. 156, ISBN 9781616141813 .

arxiv.org

Bernhart, Frank R.; Price, H. Lee (2005). "Heron's formula, Descartes circles, and Pythagorean triangles". arΧiv:math/0701624.

books.google.com

Sierpiński, Wacław (2003), Pythagorean Triangles, Dover, pp. iv–vii, ISBN 978-0-486-43278-6
Houston, David (1993), "Pythagorean triples via double-angle formulas", dalam Nelsen, Roger B., Proofs Without Words: Exercises in Visual Thinking, Mathematical Association of America, hlm. 141, ISBN 978-0-88385-700-7, OCLC 29664480
Untuk ketidakberadaan penyelesaian dimana $a$ dan $b$ adalah keduanya bilangan kuadrat, awalnya dibuktikan oleh Fermat, lihat Koshy, Thomas (2002), Elementary Number Theory with Applications, Academic Press, hlm. 545, ISBN 9780124211711 . Untuk kasus lainnya, di mana $c$ adalah salah satu dari bilangan kuadrat, lihat Stillwell, John (1998), Numbers and Geometry, Undergraduate Texts in Mathematics, Springer, hlm. 133, ISBN 9780387982892 .
Sally, Judith D. (2007), Roots to Research: A Vertical Development of Mathematical Problems, American Mathematical Society, hlm. 74–75, ISBN 9780821872673 .
Ini mengikuti secepatnya dari fakta bahwa $ab$ habis dibagi duabelas, bersama dengan definisi bilangan kongruen sebagai luas segitiga kanan dengan sisi rasional. Lihat misalnya Koblitz, Neal (1993), Introduction to Elliptic Curves and Modular Forms, Graduate Texts in Mathematics, 97, Springer, hlm. 3, ISBN 9780387979663 .
Pickover, Clifford A. (2009), "Pythagorean Theorem and Triangles", The Math Book, Sterling, hlm. 40, ISBN 978-1402757969
Stillwell, John (2002), "6.6 Pythagorean Triples", Elements of Number Theory, Springer, hlm. 110–2, ISBN 978-0-387-95587-2

clarku.edu

mathcs.clarku.edu

Joyce, D. E. (June 1997), "Book X , Proposition XXIX", Euclid's Elements, Clark University

deanza.edu

nebula.deanza.edu

"Derivation of standard equation for ellipse from the locus definition of an ellipse" (PDF). nebula.deanza.edu. Diarsipkan dari versi asli (PDF) tanggal 5 July 2016. Diakses tanggal 18 July 2016.

discovermagazine.com

Kim, Scott (May 2002), "Bogglers", Discover: 82, The equation w⁴ + x⁴ + y⁴ = z⁴ is harder. In 1988, after 200 years of mathematicians' attempts to prove it impossible, Noam Elkies of Harvard found the counterexample, 2,682,440⁴ + 15,365,639⁴ + 18,796,760⁴ = 20,615,673⁴.

doi.org

Robson, Eleanor (2002), "Words and Pictures: New Light on Plimpton 322" (PDF), Mathematical Association of America Monthly, 109 (2): 105–120, doi:10.1080/00029890.2002.11919845
Mitchell, Douglas W. (July 2001), "An Alternative Characterisation of All Primitive Pythagorean Triples", The Mathematical Gazette, 85 (503): 273–5, doi:10.2307/3622017, JSTOR 3622017
MacHale, Des; van den Bosch, Christian (March 2012), "Generalising a result about Pythagorean triples", Mathematical Gazette, 96: 91–96, doi:10.1017/S0025557200004010
Rosenberg, Steven; Spillane, Michael; Wulf, Daniel B. (May 2008), "Heron triangles and moduli spaces", Mathematics Teacher, 101: 656–663, doi:10.5951/MT.101.9.0656
(Alperin 2005) Alperin, Roger C. (2005), "The modular tree of Pythagoras" (PDF), American Mathematical Monthly, 112 (9): 807–816, CiteSeerX 10.1.1.112.3085 , doi:10.2307/30037602, JSTOR 30037602, MR 2179860 ]
1988 Preprint Diarsipkan 2011-08-09 di Wayback Machine. See Figure 2 on page 3., later published as Fässler, Albert (June–July 1991), "Multiple Pythagorean number triples", American Mathematical Monthly, 98 (6): 505–517, doi:10.2307/2324870, JSTOR 2324870
Benito, Manuel; Varona, Juan L. (June 2002), "Pythagorean triangles with legs less than n", Journal of Computational and Applied Mathematics, 143 (1): 117–126, Bibcode:2002JCoAM.143..117B, doi:10.1016/S0377-0427(01)00496-4  as PDF
Hirschhorn, Michael (November 2011), "When is the sum of consecutive squares a square?", The Mathematical Gazette, 95: 511–2, doi:10.1017/S0025557200003636, ISSN 0025-5572, OCLC 819659848
Goehl, John F. Jr. (May 2005), "Reader reflections", Mathematics Teacher, 98 (9): 580, doi:10.5951/MT.98.9.0580
Elkies, Noam (1988), "On A⁴ + B⁴ + C⁴ = D⁴", Mathematics of Computation, 51 (184): 825–835, doi:10.2307/2008781, JSTOR 2008781, MR 0930224

fau.edu

math.fau.edu

Yiu, Paul (2008), Heron triangles which cannot be decomposed into two integer right triangles (PDF), 41st Meeting of Florida Section of Mathematical Association of America, hlm. 17
Yiu, Paul (2003). "Recreational Mathematics" (PDF). Course Notes. Dept. of Mathematical Sciences, Florida Atlantic University. Bab. 2, hlm. 110.

harvard.edu

adsabs.harvard.edu

Benito, Manuel; Varona, Juan L. (June 2002), "Pythagorean triangles with legs less than n", Journal of Computational and Applied Mathematics, 143 (1): 117–126, Bibcode:2002JCoAM.143..117B, doi:10.1016/S0377-0427(01)00496-4  as PDF

jstor.org

Mitchell, Douglas W. (July 2001), "An Alternative Characterisation of All Primitive Pythagorean Triples", The Mathematical Gazette, 85 (503): 273–5, doi:10.2307/3622017, JSTOR 3622017
(Alperin 2005) Alperin, Roger C. (2005), "The modular tree of Pythagoras" (PDF), American Mathematical Monthly, 112 (9): 807–816, CiteSeerX 10.1.1.112.3085 , doi:10.2307/30037602, JSTOR 30037602, MR 2179860 ]
1988 Preprint Diarsipkan 2011-08-09 di Wayback Machine. See Figure 2 on page 3., later published as Fässler, Albert (June–July 1991), "Multiple Pythagorean number triples", American Mathematical Monthly, 98 (6): 505–517, doi:10.2307/2324870, JSTOR 2324870
Pagni, David (September 2001), "Fibonacci Meets Pythagoras", Mathematics in School, 30 (4): 39–40, JSTOR 30215477
Elkies, Noam (1988), "On A⁴ + B⁴ + C⁴ = D⁴", Mathematics of Computation, 51 (184): 825–835, doi:10.2307/2008781, JSTOR 2008781, MR 0930224

loc.gov

lccn.loc.gov

(Long 1972, hlm. 48) Long, Calvin T. (1972), Elementary Introduction to Number Theory (edisi ke-2nd), Lexington: D. C. Heath and Company, LCCN 77171950

maa.org

Robson, Eleanor (2002), "Words and Pictures: New Light on Plimpton 322" (PDF), Mathematical Association of America Monthly, 109 (2): 105–120, doi:10.1080/00029890.2002.11919845

nctm.org

Rosenberg, Steven; Spillane, Michael; Wulf, Daniel B. (May 2008), "Heron triangles and moduli spaces", Mathematics Teacher, 101: 656–663, doi:10.5951/MT.101.9.0656
Goehl, John F. Jr. (May 2005), "Reader reflections", Mathematics Teacher, 98 (9): 580, doi:10.5951/MT.98.9.0580

niu.edu

math.niu.edu

"Sum of consecutive cubes equal a cube". Diarsipkan dari versi asli tanggal 2008-05-15.

oeis.org

https://oeis.org/A000129
"OEIS A237518". The On-Line Encyclopedia of Integer Sequences.
"OEIS A001652". The On-Line Encyclopedia of Integer Sequences.
"OEIS A001653". The On-Line Encyclopedia of Integer Sequences.
"OEIS A303734". The On-Line Encyclopedia of Integer Sequences.

psu.edu

citeseerx.ist.psu.edu

(Alperin 2005) Alperin, Roger C. (2005), "The modular tree of Pythagoras" (PDF), American Mathematical Monthly, 112 (9): 807–816, CiteSeerX 10.1.1.112.3085 , doi:10.2307/30037602, JSTOR 30037602, MR 2179860 ]

sites.google.com

"A Collection of Algebraic Identities: Sums of n Squares". Diarsipkan dari versi asli tanggal 2012-03-06. Diakses tanggal 2021-05-04.

sjsu.edu

math.sjsu.edu

(Alperin 2005) Alperin, Roger C. (2005), "The modular tree of Pythagoras" (PDF), American Mathematical Monthly, 112 (9): 807–816, CiteSeerX 10.1.1.112.3085 , doi:10.2307/30037602, JSTOR 30037602, MR 2179860 ]

umn.edu

conservancy.umn.edu

1988 Preprint Diarsipkan 2011-08-09 di Wayback Machine. See Figure 2 on page 3., later published as Fässler, Albert (June–July 1991), "Multiple Pythagorean number triples", American Mathematical Monthly, 98 (6): 505–517, doi:10.2307/2324870, JSTOR 2324870

purl.umn.edu

1988 Preprint Diarsipkan 2011-08-09 di Wayback Machine. See Figure 2 on page 3., later published as Fässler, Albert (June–July 1991), "Multiple Pythagorean number triples", American Mathematical Monthly, 98 (6): 505–517, doi:10.2307/2324870, JSTOR 2324870

unirioja.es

Benito, Manuel; Varona, Juan L. (June 2002), "Pythagorean triangles with legs less than n", Journal of Computational and Applied Mathematics, 143 (1): 117–126, Bibcode:2002JCoAM.143..117B, doi:10.1016/S0377-0427(01)00496-4  as PDF

web.archive.org

"Derivation of standard equation for ellipse from the locus definition of an ellipse" (PDF). nebula.deanza.edu. Diarsipkan dari versi asli (PDF) tanggal 5 July 2016. Diakses tanggal 18 July 2016.
1988 Preprint Diarsipkan 2011-08-09 di Wayback Machine. See Figure 2 on page 3., later published as Fässler, Albert (June–July 1991), "Multiple Pythagorean number triples", American Mathematical Monthly, 98 (6): 505–517, doi:10.2307/2324870, JSTOR 2324870
"A Collection of Algebraic Identities: Sums of n Squares". Diarsipkan dari versi asli tanggal 2012-03-06. Diakses tanggal 2021-05-04.
"Sum of consecutive cubes equal a cube". Diarsipkan dari versi asli tanggal 2008-05-15.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Rational Triangle". MathWorld.

worldcat.org

Beauregard, Raymond A.; Suryanarayan, E. R. (2000), "Parametric representation of primitive Pythagorean triples", dalam Nelsen, Roger B., Proofs Without Words: More Exercises in Visual Thinking, II, Mathematical Association of America, hlm. 120, ISBN 978-0-88385-721-2, OCLC 807785075
Houston, David (1993), "Pythagorean triples via double-angle formulas", dalam Nelsen, Roger B., Proofs Without Words: Exercises in Visual Thinking, Mathematical Association of America, hlm. 141, ISBN 978-0-88385-700-7, OCLC 29664480
Hirschhorn, Michael (November 2011), "When is the sum of consecutive squares a square?", The Mathematical Gazette, 95: 511–2, doi:10.1017/S0025557200003636, ISSN 0025-5572, OCLC 819659848