mathematical induction

form of mathematical proof
Thing proof_technique Q178377
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mathematical induction

Summary

mathematical induction is a proof technique[1]. It draws 633 Wikipedia views per month (proof_technique category, ranking #1 of 7).[2]

Key Facts

  • mathematical induction is credited with the discovery of Francesco Maurolico[3].
  • mathematical induction is credited with the discovery of Euclid[4].
  • mathematical induction is credited with the discovery of Bhāskara II[5].
  • mathematical induction is credited with the discovery of Jacob Bernoulli[6].
  • mathematical induction is credited with the discovery of Blaise Pascal[7].
  • mathematical induction is credited with the discovery of Pierre de Fermat[8].
  • mathematical induction's video is recorded as Vollständige Induktion - Quatematik.webm[9].
  • mathematical induction's image is recorded as Domen-indukto.png[10].
  • mathematical induction's instance of is recorded as proof technique[11].
  • mathematical induction's GND ID is recorded as 4124408-4[12].
  • mathematical induction's Library of Congress authority ID is recorded as sh85065806[13].
  • mathematical induction's subclass of is recorded as well-founded induction[14].
  • mathematical induction's part of is recorded as Q114737629[15].
  • mathematical induction's Commons category is recorded as Induction (mathematics)[16].
  • mathematical induction's said to be the same as is recorded as mathematical induction[17].
  • mathematical induction's has part is recorded as base case[18].
  • mathematical induction's has part is recorded as inductive step[19].
  • mathematical induction's has part is recorded as induction hypothesis[20].
  • mathematical induction's Freebase ID is recorded as /m/04rxr[21].
  • mathematical induction's has cause is recorded as principle of mathematical induction[22].
  • mathematical induction's topic's main category is recorded as Category:Mathematical induction[23].
  • mathematical induction's described by source is recorded as The Art of Computer Programming, Volume 1: Fundamental Algorithms, 3rd edition[24].
  • mathematical induction's described by source is recorded as Otto's encyclopedia[25].
  • mathematical induction's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[26].
  • mathematical induction's Encyclopædia Britannica Online ID is recorded as topic/mathematical-induction[27].

Body

Works and Contributions

Credited discoveries include Francesco Maurolico[3], a mathematician[28], 1494–1575[29], specialised in mathematics[30]; Euclid[4], a mathematician[31], -0333–-0285[32], of Classical Athens[33], specialised in geometry[34]; Bhāskara II[5], a mathematician[35], 1114–1185[36], specialised in algebra[37]; Jacob Bernoulli[6], a mathematician[38], 1655–1705[39], of Switzerland[40], specialised in probability theory[41]; Blaise Pascal[7], a mathematician[42], 1623–1662[43], of Kingdom of France[44], specialised in probability theory[45]; and Pierre de Fermat[8], a mathematician[46], 1601–1665[47], of France[48], specialised in number theory[49].

Why It Matters

mathematical induction draws 633 Wikipedia views per month (proof_technique category, ranking #1 of 7).[2] It has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[50] It is known by 62 alternative names across languages and contexts.[51]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [9] . wikidata.org.
  2. [10] . wikidata.org.
  3. [11] . wikidata.org.
  4. [3] . Fermat's method of Infinite Descent. wikidata.org.
  5. [4] . Origin of the Name "Mathematical Induction". wikidata.org.
  6. [5] . Origin of the Name "Mathematical Induction". wikidata.org.
  7. [6] . Origin of the Name "Mathematical Induction". wikidata.org.
  8. [7] . Origin of the Name "Mathematical Induction". wikidata.org.
  9. [8] . Origin of the Name "Mathematical Induction". wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  17. [19] . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  18. [20] . Insiemi, numeri e polinomi. encyclopediaofmath.org. Provenance: wikidata.org.
  19. [21] . Freebase Data Dumps. wikidata.org.
  20. [22] . Insiemi, numeri e polinomi. wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site
  2. [29] . Wikidata. wikidata.org. → on this site
  3. [30] . Wikidata. wikidata.org. → on this site
  4. [31] . Wikidata. wikidata.org. → on this site
  5. [32] . Wikidata. wikidata.org. → on this site
  6. [33] . Wikidata. wikidata.org. → on this site
  7. [34] . Wikidata. wikidata.org. → on this site
  8. [35] . Wikidata. wikidata.org. → on this site
  9. [36] . Wikidata. wikidata.org. → on this site
  10. [37] . Wikidata. wikidata.org. → on this site
  11. [38] . Wikidata. wikidata.org. → on this site
  12. [39] . Wikidata. wikidata.org. → on this site
  13. [40] . Wikidata. wikidata.org. → on this site
  14. [41] . Wikidata. wikidata.org. → on this site
  15. [42] . Wikidata. wikidata.org. → on this site
  16. [43] . Wikidata. wikidata.org. → on this site
  17. [44] . Wikidata. wikidata.org. → on this site
  18. [45] . Wikidata. wikidata.org. → on this site
  19. [46] . Wikidata. wikidata.org. → on this site
  20. [47] . Wikidata. wikidata.org. → on this site
  21. [48] . Wikidata. wikidata.org. → on this site
  22. [49] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [50] . Wikidata sitelinks. wikidata.org.
  3. [51] . Wikidata aliases. wikidata.org.

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