Talk:Mathematical analysis
 | Non-classical analysis was merged into this article. The discussion was closed on 19 January 2022 with a consensus to merge. The original page is now a redirect to this article. Its history now serves to provide attribution for the content in this article, and it must not be deleted as long as this article exists. |
 | 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. | ||||||||||||
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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
"Analysis" as a term is more used in Europe, americans prefer to talk about "Calculus". Lbertolotti (talk) 23:48, 9 June 2022 (UTC)
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)
- 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)
- 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)
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)
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)
- 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)
Famous textbooks
Famous is not a WP criterion, WP:Notability is. The following have been removed:
- Foundation of Analysis: The Arithmetic of Whole Rational, Irrational and Complex Numbers, by Edmund Landau
- Introductory Real Analysis, by Andrey Kolmogorov, Sergei Fomin[1]
- Differential and Integral Calculus (3 volumes), by Grigorii Fichtenholz[2][3][4]
- The Fundamentals of Mathematical Analysis (2 volumes), by Grigorii Fichtenholz[5][6]
- A Course Of Mathematical Analysis (2 volumes), by Sergey Nikolsky[7][8]
- Mathematical Analysis (2 volumes), by Vladimir Zorich[9][10]
- A Course of Higher Mathematics (5 volumes, 6 parts), by Vladimir Smirnov[11][12][13][14][15]
- Differential And Integral Calculus, by Nikolai Piskunov[16]
- A Course of Mathematical Analysis, by Aleksandr Khinchin[17]
- Mathematical Analysis: A Special Course, by Georgiy Shilov[18]
- Theory of Functions of a Real Variable (2 volumes), by Isidor Natanson[19][20]
- Problems in Mathematical Analysis, by Boris Demidovich[21]
- Mathematical Analysis: A Modern Approach to Advanced Calculus, by Tom Apostol[22]
- Real Analysis: Measure Theory, Integration, and Hilbert Spaces, by Elias Stein[23]
- Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, by Lars Ahlfors[24]
- Complex Analysis, by Elias Stein[25]
- Functional Analysis: Introduction to Further Topics in Analysis, by Elias Stein[26]
- Analysis (2 volumes), by Terence Tao[27][28]
- Analysis (3 volumes), by Herbert Amann, Joachim Escher[29][30][31]
- Real and Functional Analysis, by Vladimir Bogachev, Oleg Smolyanov[32]
- Real and Functional Analysis, by Serge Lang[33]
References
- ^ "Introductory Real Analysis". 1970.
- ^ "Курс дифференциального и интегрального исчисления. Том I". 1969.
- ^ "Основы математического анализа. Том II". 1960.
- ^ "Курс дифференциального и интегрального исчисления. Том III". 1960.
- ^ The Fundamentals of Mathematical Analysis: International Series in Pure and Applied Mathematics, Volume 1. ASIN 0080134734.
- ^ The Fundamentals of Mathematical Analysis: International Series of Monographs in Pure and Applied Mathematics, Vol. 73-II. ASIN 1483213153.
- ^ "A Course of Mathematical Analysis Vol 1". 1977.
- ^ "A Course of Mathematical Analysis Vol 2". 1987.
- ^ Mathematical Analysis I. ASIN 3662569558.
- ^ Mathematical Analysis II. ASIN 3662569663.
- ^ "A Course of Higher Mathematics Vol 3 1 Linear Algebra". 1964.
- ^ "A Course of Higher Mathematics Vol 2 Advanced Calculus". 1964.
- ^ "A Course of Higher Mathematics Vol 3-2 Complex Variables Special Functions". 1964.
- ^ "A Course of Higher Mathematics Vol 4 Integral and Partial Differential Equations". 1964.
- ^ "A Course of Higher Mathematics Vol 5 Integration and Functional Analysis". 1964.
- ^ "Differential and Integral Calculus". 1969.
- ^ "A Course of Mathematical Analysis". 1960.
- ^ Mathematical Analysis: A Special Course. ASIN 1483169561.
- ^ "Theory of functions of a real variable (Teoria functsiy veshchestvennoy peremennoy, chapters I to IX)". 1955.
- ^ "Theory of functions of a real variable =Teoria functsiy veshchestvennoy peremennoy". 1955.
- ^ "Problems in Mathematical Analysis". 1970.
- ^ Mathematical Analysis: A Modern Approach to Advanced Calculus, 2nd Edition. ASIN 0201002884.
- ^ Real Analysis: Measure Theory, Integration, and Hilbert Spaces. ASIN 0691113866.
- ^ Ahlfors, Lars (January 1, 1979). Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable. McGraw-Hill Education. ISBN 978-0070006577.
- ^ Complex Analysis. ASIN 0691113858.
- ^ Functional Analysis: Introduction to Further Topics in Analysis. ASIN 0691113874.
- ^ Analysis I: Third Edition. ASIN 9380250649.
- ^ Analysis II: Third Edition. ASIN 9380250657.
- ^ Amann, Herbert; Escher, Joachim (2004). Analysis I. Birkhäuser. ISBN 978-3764371531.
- ^ Amann, Herbert; Escher, Joachim (16 May 2008). Analysis II. Birkhäuser Basel. ISBN 978-3764374723.
- ^ Amann, Herbert; Escher, Joachim (2009). Analysis III. Springer. ISBN 978-3764374792.
- ^ Bogachev, Vladimir I.; Smolyanov, Oleg G. (2021). Real and Functional Analysis. Springer. ISBN 978-3030382216.
- ^ Lang, Serge (2012). Real and Functional Analysis. Springer. ISBN 978-1461269380.
An article can be written about any notable textbook in this list. Then it is eligible for inclusion in section Notable textbooks. Rgdboer (talk) 21:41, 24 August 2025 (UTC)
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