Mathematical proof (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mathematical proof" in English language version.

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3doi.org

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archive.org

Lesmoir-Gordon, Nigel (2000). Introducing Fractal Geometry. Icon Books. ISBN 978-1-84046-123-7. ...brought home again to Benoit [Mandelbrot] that there was a 'mathematics of the eye', that visualization of a problem was as valid a method as any for finding a solution. Amazingly, he found himself alone with this conjecture. The teaching of mathematics in France was dominated by a handful of dogmatic mathematicians hiding behind the pseudonym 'Bourbaki'...

archives-ouvertes.fr

hal.archives-ouvertes.fr

Moutsios-Rentzos, Andreas; Spyrou, Panagiotis (February 2015). "The genesis of proof in ancient Greece The pedagogical implications of a Husserlian reading". Archive ouverte HAL. Retrieved October 20, 2019.

att.net

home.att.net

"A Note on the History of Fractals". Archived from the original on February 15, 2009. Mandelbrot, working at the IBM Research Laboratory, did some computer simulations for these sets on the reasonable assumption that, if you wanted to prove something, it might be helpful to know the answer ahead of time.

books.google.com

Buss, Samuel R. (1998), "An introduction to proof theory", in Buss, Samuel R. (ed.), Handbook of Proof Theory, Studies in Logic and the Foundations of Mathematics, vol. 137, Elsevier, pp. 1–78, ISBN 978-0-08-053318-6. See in particular p. 3: "The study of Proof Theory is traditionally motivated by the problem of formalizing mathematical proofs; the original formulation of first-order logic by Frege [1879] was the first successful step in this direction."
Plaue, Matthias; Scherfner, Mike (February 11, 2019). Mathematik für das Bachelorstudium I: Grundlagen und Grundzüge der linearen Algebra und Analysis [Mathematics for the Bachelor's degree I: Fundamentals and basics of linear algebra and analysis] (in German). Springer-Verlag. p. 26. ISBN 978-3-662-58352-4.
Struckmann, Werner; Wätjen, Dietmar (October 20, 2016). Mathematik für Informatiker: Grundlagen und Anwendungen [Mathematics for Computer Scientists: Fundamentals and Applications] (in German). Springer-Verlag. p. 28. ISBN 978-3-662-49870-5.

csufresno.edu

zimmer.csufresno.edu

Examples of simple proofs by mathematical induction for all natural numbers

doi.org

Matvievskaya, Galina (1987), "The Theory of Quadratic Irrationals in Medieval Oriental Mathematics", Annals of the New York Academy of Sciences, 500 (1): 253–277 [260], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910
"Whether constant π (i.e., pi) is normal is a confusing problem without any strict theoretical demonstration except for some statistical proof"" (Derogatory use.)[2]
Herbst, Patricio G. (2002). "Establishing a Custom of Proving in American School Geometry: Evolution of the Two-Column Proof in the Early Twentieth Century" (PDF). Educational Studies in Mathematics. 49 (3): 283–312. doi:10.1023/A:1020264906740. hdl:2027.42/42653. S2CID 23084607.

handle.net

hdl.handle.net

Herbst, Patricio G. (2002). "Establishing a Custom of Proving in American School Geometry: Evolution of the Two-Column Proof in the Early Twentieth Century" (PDF). Educational Studies in Mathematics. 49 (3): 283–312. doi:10.1023/A:1020264906740. hdl:2027.42/42653. S2CID 23084607.

harvard.edu

ui.adsabs.harvard.edu

Matvievskaya, Galina (1987), "The Theory of Quadratic Irrationals in Medieval Oriental Mathematics", Annals of the New York Academy of Sciences, 500 (1): 253–277 [260], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910

jstor.org

"in number theory and commutative algebra... in particular the statistical proof of the lemma." [1]

onemathematicalcat.org

Dr. Fisher Burns. "Introduction to the Two-Column Proof". onemathematicalcat.org. Retrieved October 15, 2009.

psi.ch

people.web.psi.ch

"these observations suggest a statistical proof of Goldbach's conjecture with very quickly vanishing probability of failure for large E" [3]

semanticscholar.org

api.semanticscholar.org

Matvievskaya, Galina (1987), "The Theory of Quadratic Irrationals in Medieval Oriental Mathematics", Annals of the New York Academy of Sciences, 500 (1): 253–277 [260], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910
Herbst, Patricio G. (2002). "Establishing a Custom of Proving in American School Geometry: Evolution of the Two-Column Proof in the Early Twentieth Century" (PDF). Educational Studies in Mathematics. 49 (3): 283–312. doi:10.1023/A:1020264906740. hdl:2027.42/42653. S2CID 23084607.

ubc.ca

math.ubc.ca

Bill Casselman. "One of the Oldest Extant Diagrams from Euclid". University of British Columbia. Retrieved September 26, 2008.

umich.edu

deepblue.lib.umich.edu

Herbst, Patricio G. (2002). "Establishing a Custom of Proving in American School Geometry: Evolution of the Two-Column Proof in the Early Twentieth Century" (PDF). Educational Studies in Mathematics. 49 (3): 283–312. doi:10.1023/A:1020264906740. hdl:2027.42/42653. S2CID 23084607.

uzh.ch

theologie.uzh.ch

Quine, Willard Van Orman (1961). "Two Dogmas of Empiricism" (PDF). Universität Zürich – Theologische Fakultät. p. 12. Retrieved October 20, 2019.

warwick.ac.uk

Proof by induction Archived February 18, 2012, at the Wayback Machine, University of Warwick Glossary of Mathematical Terminology

web.archive.org

Proof by induction Archived February 18, 2012, at the Wayback Machine, University of Warwick Glossary of Mathematical Terminology
"A Note on the History of Fractals". Archived from the original on February 15, 2009. Mandelbrot, working at the IBM Research Laboratory, did some computer simulations for these sets on the reasonable assumption that, if you wanted to prove something, it might be helpful to know the answer ahead of time.

wustl.edu

math.wustl.edu

The History and Concept of Mathematical Proof, Steven G. Krantz. 1. February 5, 2007