Alexander Grothendieck (English Wikipedia)

Peixoto, Tatiana; Bietenholza, Wolfgang (2016). "To the Memory of Alexander Grothendieck: a Great and Mysterious Genius of Mathematics". arXiv:1605.08112 [math.HO].

books.google.com

Cartier et al. 2007, p. 7. Cartier, Pierre; Illusie, Luc; Katz, Nicholas M.; Laumon, Gérard; Manin, Yuri I.; Ribet, Kenneth A., eds. (2007) [1990]. The Grothendieck Festschrift, Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck. Birkhäuser. ISBN 978-0-8176-4566-3.
- Ruelle 2007, p. 40. Ruelle, David (2007). The Mathematician's Brain. Princeton University Press. ISBN 978-0691129822.
- Hersh & John-Steiner 2011, p. 109. Hersh, Reuben; John-Steiner, Vera (2011). Loving and Hating Mathematics: Challenging the Myths of Mathematical Life. Princeton University Press. ISBN 978-1400836116.
- Amir D. Aczel,The Artist and the Mathematician, Basic Books, 2009 pp.8ff.pp.8–15.
- Piotr Pragacz, 'Notes on the Life and Work of Alexander Grothendieck,' in Piotr Pragacz (ed.), Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes, Springer Science & Business Media, 2006 pp-xi-xxviii p.xii.
- Luca Barbieri Viale, 'Alexander Grothendieck:entusiasmo e creatività,' in C. Bartocci, R. Betti, A. Guerraggio, R. Lucchetti (eds.,) Vite matematiche: Protagonisti del '900, da Hilbert a Wiles, Springer Science & Business Media, 2007 pp.237–249 p.237.
- Ruelle 2007, p. 35. Ruelle, David (2007). The Mathematician's Brain. Princeton University Press. ISBN 978-0691129822.
- Cartier et al. 2007, "Foreword". Cartier, Pierre; Illusie, Luc; Katz, Nicholas M.; Laumon, Gérard; Manin, Yuri I.; Ribet, Kenneth A., eds. (2007) [1990]. The Grothendieck Festschrift, Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck. Birkhäuser. ISBN 978-0-8176-4566-3.
  - Hersh & John-Steiner 2011, p. 113. Hersh, Reuben; John-Steiner, Vera (2011). Loving and Hating Mathematics: Challenging the Myths of Mathematical Life. Princeton University Press. ISBN 978-1400836116.
  - Cartier et al. 2007. Cartier, Pierre; Illusie, Luc; Katz, Nicholas M.; Laumon, Gérard; Manin, Yuri I.; Ribet, Kenneth A., eds. (2007) [1990]. The Grothendieck Festschrift, Volume I: A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck. Birkhäuser. ISBN 978-0-8176-4566-3.
    - John Derbyshire (2006). Unknown Quantity: A Real and Imaginary History of Algebra. National Academies Press. p. 314. ISBN 9780309164801.
    - Dov M. Gabbay; Akihiro Kanamori; John Woods, Jr. (2012). Sets and Extensions in the Twentieth Century. Elsevier. p. 733. ISBN 978-0-444-51621-3.
    - Michael Atiyah (3 April 2014). Michael Atiyah Collected Works: Volume 7: 2002–2013. Oxford University Press. pp. 383–. ISBN 978-0-19-968926-2.
    - M. Ram Murty; V. Kumar Murty (6 October 2012). The Mathematical Legacy of Srinivasa Ramanujan. Springer Science & Business Media. pp. 156–. ISBN 978-81-322-0769-6.
    - Marc Levine; Fabien Morel (23 February 2007). Algebraic Cobordism. Springer Science & Business Media. p. viii. ISBN 978-3-540-36824-3.
    - Ralph Krömer (25 June 2007). Tool and Object: A History and Philosophy of Category Theory. Springer Science & Business Media. pp. 158–. ISBN 978-3-7643-7524-9.

brown.edu

dam.brown.edu

Alexander Grothendieck obituary by David Mumford and John Tate David Mumford at Brown and Harvard Universities: Archive for Reprints: Can one explain schemes to biologists, 14 December 2014

cnrs.fr

images.math.cnrs.fr

Douroux 2012. Douroux, Philippe (8 February 2012). "Alexandre Grothendieck" (in French). Retrieved 2 April 2014.
Philippe Douroux (8 February 2012). "Alexandre Grothendieck: Un voyage à la poursuite des choses évidentes" [Alexander Grothendieck: A journey in pursuit of the obvious]. Images des mathématiques (in French). CNRS.
Guillaume Aubrun (17 March 2020). "1953 : un « Résumé » aux développements illimités" [1953: a "Summary" with unlimited developments]. Images des Mathématiques (in French). CNRS.

college-de-france.fr

Serre 1955. Serre, Jean-Pierre (1955). "Faisceaux algébriques cohérents" (PDF). Annals of Mathematics. 61 (2): 197–278. doi:10.2307/1969915. JSTOR 1969915. MR 0068874.

columbia.edu

math.columbia.edu

"Crafoord Prize letter, English translation" (PDF). Archived from the original (PDF) on 6 January 2006. Retrieved 17 June 2005.

doi.org

Mumford, David; Tate, John (2015). "Alexander Grothendieck (1928–2014) Mathematician who rebuilt algebraic geometry". Nature. 517 (7534): 272. Bibcode:2015Natur.517..272M. doi:10.1038/517272a. ISSN 0028-0836. PMID 25592527.
Alexander Grothendieck (1952). "Critères de compacité dans les espaces fonctionnels généraux" (PDF). Amer. J. Math. 74 (1): 168–186. doi:10.2307/2372076. JSTOR 2372076.
Horvâth, John (July 1976). "Topological vector spaces, by A. Grothendieck, ..." (PDF). Book Reviews. Bulletin of the American Mathematical Society. 82 (4): 515–521. doi:10.1090/S0002-9904-1976-14076-1. Archived (PDF) from the original on 9 October 2022.
Grothendieck, Alexander (1957), "Sur quelques points d'algèbre homologique", Tohoku Mathematical Journal, Second Series (in French), 9 (2): 119–221, doi:10.2748/tmj/1178244839, ISSN 0040-8735, MR 0102537
Lipman, Joseph (2009). "Notes on derived categories and Grothendieck duality" (PDF). Foundations of Grothendieck Duality for Diagrams of Schemes. Lecture Notes in Mathematics. Vol. 1960. New York: Springer-Verlag. pp. 1–259. doi:10.1007/978-3-540-85420-3. ISBN 978-3-540-85419-7. MR 2490557. Archived (PDF) from the original on 9 October 2022.
Serre 1955. Serre, Jean-Pierre (1955). "Faisceaux algébriques cohérents" (PDF). Annals of Mathematics. 61 (2): 197–278. doi:10.2307/1969915. JSTOR 1969915. MR 0068874.

emath.fr

smf.emath.fr

Deligne 1998. Deligne, Pierre (1998), "Quelques idées maîtresses de l'œuvre de A. Grothendieck" (PDF), Matériaux pour l'histoire des mathématiques au XXe siècle – Actes du colloque à la mémoire de Jean Dieudonné (Nice 1996), Société Mathématique de France, pp. 11–19

eudml.org

Jean Dieudonné; Laurent Schwartz (1949). "La dualité dans les espaces (F) et (LF)". Annales de l'Institut Fourier. 1: 61–101. ISSN 0373-0956.

fermentmagazine.org

Roy Lisker. "Visiting Alexandre Grothendieck". Retrieved 25 January 2022.

files.wordpress.com

jmrlivres.files.wordpress.com

Grothendieck, Alexandre. "Récoltes et Semailles" (PDF) (in French). Retrieved 17 September 2024.

free.fr

cm2vivi2002.free.fr

Grothendieck, Alexander. "La Clef des Songes" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 2 December 2021.

ghostarchive.org

Bruce Weber; Julie Rehmeyer (14 November 2014). "Alexander Grothendieck, Math Enigma, Dies at 86". The New York Times. Archived from the original on 1 January 2022.
Scharlau, Winfried. "Who is Alexander Grothendieck? Anarchy, Mathematics, Spirituality, Solitude" (PDF). Archived (PDF) from the original on 9 October 2022.
Horvâth, John (July 1976). "Topological vector spaces, by A. Grothendieck, ..." (PDF). Book Reviews. Bulletin of the American Mathematical Society. 82 (4): 515–521. doi:10.1090/S0002-9904-1976-14076-1. Archived (PDF) from the original on 9 October 2022.
Lipman, Joseph (2009). "Notes on derived categories and Grothendieck duality" (PDF). Foundations of Grothendieck Duality for Diagrams of Schemes. Lecture Notes in Mathematics. Vol. 1960. New York: Springer-Verlag. pp. 1–259. doi:10.1007/978-3-540-85420-3. ISBN 978-3-540-85419-7. MR 2490557. Archived (PDF) from the original on 9 October 2022.
Pragacz 2005. Pragacz, Piotr (2005), "Notes on the life and work of Alexander Grothendieck" (PDF), in Pragracz, Piotr (ed.), Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes, Birkhäuser, archived (PDF) from the original on 9 October 2022
Scharlau, Winfried. "Chapter 23. Récoltes et Semailles" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 25 January 2022.
Grothendieck, Alexander. "La Clef des Songes" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 2 December 2021.
McLarty, Colin. "The Rising Sea: Grothendieck on simplicity and generality I" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 29 April 2020.

harvard.edu

ui.adsabs.harvard.edu

Mumford, David; Tate, John (2015). "Alexander Grothendieck (1928–2014) Mathematician who rebuilt algebraic geometry". Nature. 517 (7534): 272. Bibcode:2015Natur.517..272M. doi:10.1038/517272a. ISSN 0028-0836. PMID 25592527.

igrothendieck.org

"Alexander Grothendieck". Website. Retrieved 19 November 2024.

imj-prg.fr

webusers.imj-prg.fr

Scharlau, Winfried. "Who is Alexander Grothendieck? Anarchy, Mathematics, Spirituality, Solitude" (PDF). Archived (PDF) from the original on 9 October 2022.
Alexander Grothendieck (1950). "Sur la complétion du dual d'un espace localement convexe" (PDF). C. R. Acad. Sci. Paris. 230: 605–606.
Alexander Grothendieck (1950). "Quelques résultats relatifs à la dualité dans les espaces F" (PDF). C. R. Acad. Sci. Paris. 230: 1561–1563.
Alexander Grothendieck (1950). "Critères généraux de compacité dans les espaces vectoriels localement convexes. Pathologie des espaces LF" (PDF). C. R. Acad. Sci. Paris. 231: 940–941.
Alexander Grothendieck (1951). "Quelques résultats sur les espaces vectoriels topologiques" (PDF). C. R. Acad. Sci. Paris. 233: 839–841.
Alexander Grothendieck (1951). "Sur une notion de produit tensoriel topologique d'espaces vectoriels topologiques, et une classe remarquable d'espaces vectoriels liée à cette notion" (PDF). C. R. Acad. Sci. Paris. 233: 1556–1558.
Alexander Grothendieck (1952). "Critères de compacité dans les espaces fonctionnels généraux" (PDF). Amer. J. Math. 74 (1): 168–186. doi:10.2307/2372076. JSTOR 2372076.
Schneps n.d. Schneps, Leila (n.d.). "Who is Alexander Grothendieck? Anarchy, Mathematics, Spirituality, Solitude. Part 2: Mathematics".{{cite web}}: CS1 maint: year (link) First 4 chapters from the incomplete second part of planned four-volume biography.
"Chapter 3. From student to celebrity: 1949-1952" (PDF). Who Is Alexandre Grothendieck: Anarchy, Mathematics, Spirituality. Vol. 2.
Scharlau, Winfried. "Chapter 23. Récoltes et Semailles" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 25 January 2022.
"Grothendieck Circle". Archived from the original on 29 September 2014. Retrieved 13 October 2015.
McLarty, Colin. "The Rising Sea: Grothendieck on simplicity and generality I" (PDF). Archived (PDF) from the original on 9 October 2022. Retrieved 29 April 2020.

independent.co.uk

"Guardian obituary". Independent.co.uk. 15 November 2014.

jstor.org

Alexander Grothendieck (1952). "Critères de compacité dans les espaces fonctionnels généraux" (PDF). Amer. J. Math. 74 (1): 168–186. doi:10.2307/2372076. JSTOR 2372076.
Serre 1955. Serre, Jean-Pierre (1955). "Faisceaux algébriques cohérents" (PDF). Annals of Mathematics. 61 (2): 197–278. doi:10.2307/1969915. JSTOR 1969915. MR 0068874.

landsburg.com

Pragacz 2005. Pragacz, Piotr (2005), "Notes on the life and work of Alexander Grothendieck" (PDF), in Pragracz, Piotr (ed.), Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes, Birkhäuser, archived (PDF) from the original on 9 October 2022

lemonde.fr

Philippe Douroux (6 May 2019). "Trésor scientifique ou vieux papiers illisibles? Les mystérieuses archives d'Alexandre Grothendieck" [Scientific treasure or unreadable old paper? The mysterious archives of Alexandre Grothendieck]. Le Monde (in French).
Stéphane Foucart; Philippe Pajot (14 November 2014). "Alexandre Grothendieck, le plus grand mathématicien du XXe siècle, est mort" [Alexandre Grothendieck, the greatest mathematician of the 20th century, is dead]. Le Monde (in French).

liberation.fr

"Alexandre Grothendieck, ou la mort d'un génie qui voulait se faire oublier". Libération Sciences (in French). 13 November 2014. Retrieved 14 November 2014.
Le trésor oublié du génie des maths (in French)
Les «gribouillis» d'Alexandre Grothendieck enfin sauvegardés (in French)

mathunion.org

"Fields Medals 1966". mathunion.org. Archived from the original on 22 March 2019. Retrieved 5 January 2022.

mccme.ru

"Free books: Récoltes et semailles". www.mccme.ru. Retrieved 12 September 2017.

mit.edu

mitpress.mit.edu

"Publication Announcement". 25 January 2023.

newyorker.com

Galchen, Rivka (9 May 2022). "The Mysterious Disappearance revolutionary mathematician". The New Yorker.

nih.gov

pubmed.ncbi.nlm.nih.gov

Mumford, David; Tate, John (2015). "Alexander Grothendieck (1928–2014) Mathematician who rebuilt algebraic geometry". Nature. 517 (7534): 272. Bibcode:2015Natur.517..272M. doi:10.1038/517272a. ISSN 0028-0836. PMID 25592527.

nytimes.com

Bruce Weber; Julie Rehmeyer (14 November 2014). "Alexander Grothendieck, Math Enigma, Dies at 86". The New York Times. Archived from the original on 1 January 2022.

purdue.edu

math.purdue.edu

Lipman, Joseph (2009). "Notes on derived categories and Grothendieck duality" (PDF). Foundations of Grothendieck Duality for Diagrams of Schemes. Lecture Notes in Mathematics. Vol. 1960. New York: Springer-Verlag. pp. 1–259. doi:10.1007/978-3-540-85420-3. ISBN 978-3-540-85419-7. MR 2490557. Archived (PDF) from the original on 9 October 2022.

restlessbooks.com

"Colonel Lágrimas". Restless Books. Retrieved 12 September 2017.

sbseminar.wordpress.com

"Grothendieck's letter". Secret Blogging Seminar. 9 February 2010. Retrieved 12 September 2017.

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Scharlau n.d., p. 2: "Beide beteiligten sich am Spanischen Bürgerkrieg, nicht aktiv kämpfend, aber unterstützend." Scharlau, Winfried (n.d.). "Wer ist Alexander Grothendieck?" (PDF) (in German). pp. 1–22.
Scharlau, Winfried (2 May 2023), Die Mutanten – Les Mutants – eine Meditation von Alexander Grothendieck (PDF) (in German)

scienceline.org

Peck, Morgen (31 January 2007). "Equality of Mathematicians". ScienceLine. Alexandre Grothendieck is arguably the most important mathematician of the 20th century...

siam.org

"The Early Background of Genius". Archived from the original on 15 June 2011. Retrieved 15 June 2011.

spectator.co.uk

Leith, Sam (20 March 2004). "The Einstein of maths". The Spectator. Archived from the original on 11 August 2016. Retrieved 26 December 2019.

stanford.edu

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Marquis, Jean-Pierre (2015). "Category Theory". In Zalta, Edward N. (ed.). The Stanford Encyclopedia of Philosophy (Winter 2015 ed.). Metaphysics Research Lab, Stanford University.

telegraph.co.uk

"Alexander Grothendieck - obituary". Archived from the original on 15 November 2014.

theatlantic.com

Wood, Graeme (5 December 2022). "CORMAC MCCARTHY HAS NEVER BEEN BETTER". The Atlantic. Retrieved 5 December 2022.

theguardian.com

Phil Hoad, ‘He was in mystic delirium’: was this hermit mathematician a forgotten genius whose ideas could transform AI – or a lonely madman?, The Guardian 31 August 2024
Hoad, Phil Hoad (31 August 2024). "'He was in mystic delirium': was this hermit mathematician a forgotten genius whose ideas could transform AI – or a lonely madman?". The Guardian. Retrieved 5 December 2022.

u-psud.fr

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"Réédition des SGA". Archived from the original on 29 June 2016. Retrieved 12 November 2013.

umontpellier.fr

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"IMAG" [Welcome]. Institut Montpelliérain Alexander Grothendieck (in French).

unex.es

matematicas.unex.es

Alexandre Grothendieck, Esquisse d'un Programme, English translation
"Récoltes et Semailles; La Clef des Songes" (in Spanish).

univ-paris13.fr

lipn.univ-paris13.fr

Cartier 2004. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016
- Cartier 2004, p. 10, footnote 12. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016
  - Grothendieck 1986, p. 21. Grothendieck, Alexander (1986). Récoltes et Semailles : réflexions et témoignage sur un passé de mathématicien (PDF) (in French). Archived from the original (PDF) on 18 August 2017.
  - Grothendieck 1986, p. 22. Grothendieck, Alexander (1986). Récoltes et Semailles : réflexions et témoignage sur un passé de mathématicien (PDF) (in French). Archived from the original (PDF) on 18 August 2017.

utexas.edu

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web.archive.org

Cartier 2004. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016
- Cartier 2004, p. 10, footnote 12. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016
  - "Fields Medals 1966". mathunion.org. Archived from the original on 22 March 2019. Retrieved 5 January 2022.
  - "The Early Background of Genius". Archived from the original on 15 June 2011. Retrieved 15 June 2011.
  - "Crafoord Prize letter, English translation" (PDF). Archived from the original (PDF) on 6 January 2006. Retrieved 17 June 2005.
  - Leith, Sam (20 March 2004). "The Einstein of maths". The Spectator. Archived from the original on 11 August 2016. Retrieved 26 December 2019.
  - "Grothendieck Circle". Archived from the original on 29 September 2014. Retrieved 13 October 2015.
  - "Réédition des SGA". Archived from the original on 29 June 2016. Retrieved 12 November 2013.
  - "Alexander Grothendieck - obituary". Archived from the original on 15 November 2014.
  - Grothendieck 1986, p. 21. Grothendieck, Alexander (1986). Récoltes et Semailles : réflexions et témoignage sur un passé de mathématicien (PDF) (in French). Archived from the original (PDF) on 18 August 2017.
  - Michel Raynaud (October 2003). "Correspondance Grothendieck-Serre" (PDF). Book Review. Notices of the AMS. 50 (9): 1086. Archived from the original (PDF) on 3 October 2003.
  - Grothendieck 1986, p. 22. Grothendieck, Alexander (1986). Récoltes et Semailles : réflexions et témoignage sur un passé de mathématicien (PDF) (in French). Archived from the original (PDF) on 18 August 2017.

worldcat.org

search.worldcat.org

Scharlau 2008. Scharlau, Winfried (September 2008). "Who is Alexander Grothendieck ?" (PDF). Notices of the American Mathematical Society. 55 (8). Providence, RI: American Mathematical Society: 930–941. ISSN 1088-9477. OCLC 34550461. Retrieved 1 September 2011.
Mumford, David; Tate, John (2015). "Alexander Grothendieck (1928–2014) Mathematician who rebuilt algebraic geometry". Nature. 517 (7534): 272. Bibcode:2015Natur.517..272M. doi:10.1038/517272a. ISSN 0028-0836. PMID 25592527.
Scharlau 2008, p. 931. Scharlau, Winfried (September 2008). "Who is Alexander Grothendieck ?" (PDF). Notices of the American Mathematical Society. 55 (8). Providence, RI: American Mathematical Society: 930–941. ISSN 1088-9477. OCLC 34550461. Retrieved 1 September 2011.
Jean Dieudonné; Laurent Schwartz (1949). "La dualité dans les espaces (F) et (LF)". Annales de l'Institut Fourier. 1: 61–101. ISSN 0373-0956.
Grothendieck, Alexander (1957), "Sur quelques points d'algèbre homologique", Tohoku Mathematical Journal, Second Series (in French), 9 (2): 119–221, doi:10.2748/tmj/1178244839, ISSN 0040-8735, MR 0102537
Scharlau 2008, p. 940. Scharlau, Winfried (September 2008). "Who is Alexander Grothendieck ?" (PDF). Notices of the American Mathematical Society. 55 (8). Providence, RI: American Mathematical Society: 930–941. ISSN 1088-9477. OCLC 34550461. Retrieved 1 September 2011.

xahlee.info

Cartier 2004. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016
- Cartier 2004, p. 10, footnote 12. Cartier, Pierre (2004), "Un pays dont on ne connaîtrait que le nom (Grothendieck et les " motifs ")" (PDF), in Cartier, Pierre; Charraud, Nathalie (eds.), Réel en mathématiques-psychanalyse et mathématiques (in French), Editions Agalma, archived from the original (PDF) on 4 March 2016

zbmath.org

Kleinert 2007. Kleinert, Werner (2007). "Wer ist Alexander Grothendieck? Anarchie, Mathematik, Spiritualität. Eine Biographie. Teil 1: Anarchie" [Who is Alexander Grothendieck? Anarchy, mathematics, spirituality. A biography. Part 1: Anarchy.]. zbMATH Open. Zbl 1129.01018. A review of the German edition