Calculus on Manifolds (book)

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Calculus on Manifolds (book)

Quality:

Calculus on Manifolds - book by Michael Spivak. Article “Calculus on Manifolds (book)” in English Wikipedia has 27.7 points for quality (as of July 1, 2025). The article contains 10 references and 8 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Calculus on Manifolds (book)”, its content was written by 40 registered users of English Wikipedia and edited by 47 registered Wikipedia users in all languages.

The article is cited 13 times in English Wikipedia and cited 20 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #94794 in October 2005
  • Global: #193325 in October 2005

The highest popularity rank from 2008:

  • Local (English): #726630 in April 2011
  • Global: #1228414 in March 2011

There are 2 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Calculus on Manifolds (book)
27.7
2Japanese (ja)
Calculus on Manifolds (書籍)
13.0458
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Calculus on Manifolds (book)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Calculus on Manifolds (book)
141 121
2Japanese (ja)
Calculus on Manifolds (書籍)
760
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Calculus on Manifolds (book)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Calculus on Manifolds (book)
701
2Japanese (ja)
Calculus on Manifolds (書籍)
22
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Calculus on Manifolds (book)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Calculus on Manifolds (book)
40
2Japanese (ja)
Calculus on Manifolds (書籍)
7
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Calculus on Manifolds (book)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Calculus on Manifolds (book)
0
2Japanese (ja)
Calculus on Manifolds (書籍)
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Calculus on Manifolds (book)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Calculus on Manifolds (book)
13
2Japanese (ja)
Calculus on Manifolds (書籍)
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Calculus on Manifolds (book)
jaJapanese
Calculus on Manifolds (書籍)

Popularity rank trends

Best Rank English:
#726630
04.2011
Global:
#1228414
03.2011

AI rank trends

Best Rank English:
#94794
10.2005
Global:
#193325
10.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Calculus on Manifolds from Wikipedia articles about Michael Spivak, Differential form, Math 55, Calculus on manifolds and Chain rule. Whereas reading the article about Calculus on Manifolds people most often go to Wikipedia articles on Michael Spivak, Differentiable manifold, James Munkres, Stokes theorem and Multilinear form.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information