Talk:Mathematical analysis

Non-classical analysis was nominated for deletion. The discussion was closed on 19 January 2022 with a consensus to merge. Its contents were merged into Mathematical analysis. The original page is now a redirect to this page. For the contribution history and old versions of the redirected article, please see its history; for its talk page, see here.

Mathematical analysis was one of the good articles, but it has been removed from the list. There are suggestions below for improving the article to meet the good article criteria. Once these issues have been addressed, the article can be renominated. Editors may also seek a reassessment of the decision if they believe there was a mistake.

Article milestones
Date	Process	Result
February 18, 2006	Good article nominee	Listed
May 22, 2006	Good article reassessment	Delisted

Current status: Delisted good article

Archives

1, 2

This page has archives. Sections older than 365 days may be automatically archived by when more than 5 sections are present.

Basic analysis

Can the article have an alternate heading of Basic Analysis in the Real Analysis Section or some reference to the term Basic Analysis? I searched wikipedia for Basic Analysis and could not find the term. I found this article using Google searches. I think the term Basic Analysis is still in common use and would help searchers and readers if the term Basic Analysis was cross-referenced with the term Real Analysis for example: http://www.jirka.org/ra/realanal.pdf Jcardazzi (talk) 04:50, 27 April 2015 (UTC)jcardazzi[reply]

"Analysis" as a term is more used in Europe, americans prefer to talk about "Calculus". Lbertolotti (talk) 23:48, 9 June 2022 (UTC)[reply]

Revival!

I've noticed that this article hasn't been maintained for about 4 years. Let's start a conversation about what we should do to this article to update it. Here are my two cents:

Perhaps more information should be placed on the foundations of mathematical analysis. Mostly in the realm of how Descartes' and Fermat's contributions lead to the development of infinitesimal calculus in the late 16th century.

A section on how mathematical analysis allowed for the blooming of the natural sciences. It seems that natural science really began its evolution with the introduction of mathematical analysis in the early 16th century. In this section, we could discuss how mathematical analysis paved the way for the evolution of physics and chemistry and its contributions to the later industrial revolution and 20th century technological changes. Perhaps in this section, we could also discuss how the new modern form of physics and chemistry transformed the disciplines of astronomy, geology (geoscience), and biology.

Also, what about chemistry? Chemistry was certainly touched by mathematical analysis. With the slow introduction of thermodynamics throughout the 16th and 17th century (which was due to physics), it is what caused the chemical revolution. There is no word "chemistry" throughout this entire article.

I will start by making an addition to the article regarding the first point. If you're reading, consider replying to this post and contribute to the article's development. W.C Cross (talk) 18:26, 2 February 2021 (UTC)[reply]

Merge

The decision at a lightly-attended AfD was to merge Non-classical analysis into Mathematical analysis#Other topics. There's some duplication there already and not all the content is mergeworthy. — Charles Stewart (talk) 18:00, 19 January 2022 (UTC)[reply]

I merged the four points I mentioned in the AfD - please feel free to edit/remove as you see fit! Felix QW (talk) 18:54, 19 January 2022 (UTC)[reply]

Looks good. I kind of regret that we've lost the pointer to abstract Stone duality. We've not had substantial coverage since Wikipedia:Articles for deletion/Abstract Stone duality in 2009. Request by Paul Taylor; maybe I email him and see if his feelings on having a Wikipedia article on the topic have changed. — Charles Stewart (talk) 21:21, 19 January 2022 (UTC)[reply]

Be more clear on Cauchy contribution

You need to be more clear on whether or not Cauchy produced a "modern" mathematical system of analysis, with strict definitions/axioms unlike Newton who differentiated on intuition. VictorPorton (talk) 15:33, 30 August 2023 (UTC)[reply]

Proposed link update for vector analysis

The current "Vector analysis" section links to book articles. It would be more useful to link to Vector calculus which provides a broader overview of the field. What do you think? mw (talk) 12:08, 7 August 2024 (UTC)[reply]

Clearly, vector calculus is the correct {{main article}} of this stub section. I have fixed this.

By the way, I have removed the text-book style explanation of what is a vector, and the basic examples that do not belong to this section. D.Lazard (talk) 16:06, 7 August 2024 (UTC)[reply]