The mathematics of the past: distinguishing its history from our heritage

Grattan‐Guinness, I.

doi:10.1016/s0315-0860(03)00032-6

Cited by 69 publications

(29 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…from conclusions. A "heritage" [23] of important results is supported by proofs newly written in the current idiom. Examples of renewal are the volumes of Bourbaki [24] and the history of "Rolle's theorem" [25], which began with a critic of infinitesimals and now is basic to real analysis.…”

Section: Proclivity For Errorsmentioning

confidence: 77%

Errors and Corrections in Mathematics Literature

Grcar¹

2013

Notices Amer. Math. Soc.

View full text Add to dashboard Cite

Section: Proclivity For Errorsmentioning

confidence: 77%

Errors and Corrections in Mathematics Literature

Grcar¹

2013

Notices Amer. Math. Soc.

View full text Add to dashboard Cite

“…I ought to mention in passing another similar distinction proposed by Ivor Grattan-Guinness [11,12] specifically regarding mathematics, namely, that between "history" and "heritage". These are distinguished by their guiding questions: for history it is, "What happened?"…”

Section: Historical and Non-historical Postures Towards Mathematics Omentioning

confidence: 86%

Ways of Relating to the Mathematics of the Past

Fried¹

2018

jhummath

View full text Add to dashboard Cite

“…Some examples of the more complicated actual evolution are "Gaussian elimination" and "condition numbers" (sections 1.3, 3.5.1 and 2.10, 3.7, respectively). For discussion about writing the history of mathematics, see [70,127,187]. Precautions have been taken in this review to avoid common errors of historical commentary.…”

Section: Notes On Computersmentioning

confidence: 99%

John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis

Grcar¹

2011

SIAM Rev.

View full text Add to dashboard Cite

Abstract. Just when modern computers (digital, electronic, and programmable) were being invented, John von Neumann and Herman Goldstine wrote a paper to illustrate the mathematical analyses that they believed would be needed to use the new machines effectively and to guide the development of still faster computers. Their foresight and the congruence of historical events made their work the first modern paper in numerical analysis. Von Neumann once remarked that to found a mathematical theory one had to prove the first theorem, which he and Goldstine did for the accuracy of mechanized Gaussian elimination-but their paper was about more than that. Von Neumann and Goldstine described what they surmized would be the significant questions once computers became available for computational science, and they suggested enduring ways to answer them.

show abstract

The mathematics of the past: distinguishing its history from our heritage

Cited by 69 publications

References 14 publications

Errors and Corrections in Mathematics Literature

Errors and Corrections in Mathematics Literature

Ways of Relating to the Mathematics of the Past

John von Neumann's Analysis of Gaussian Elimination and the Origins of Modern Numerical Analysis

Contact Info

Product

Resources

About