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Sierpinski Waclaw:     more books (43)

General Topology by Waclaw Sierpinski, 2000-03-06 Pythagorean Triangles (Dover Books on Mathematics) by Waclaw Sierpinski, 2003-08-15 Hypothese Du Continu by Waclaw Sierpinski, 1934 General Topology : Mathematical Expositions No. 7 by Waclaw Sierpinski, 1952 On the Congruence of Sets & Their Equivalence By by Waclaw Sierpinski, 1954 250 Problems in Elementary Number Theory (Modern analytic and computational methods in science and mathematics) by Waclaw Sierpinski, 1971-03-26 250 Problems in Elementary Number Theory. by Waclaw Sierpinski, 1970-01-01 Trojkaty Pitagorejskie Monagrafie Popularnonauko by Waclaw Sierpinski, 1954 Cardinal and ordinal numbers (Polska Akademia Nauk. Monografie matematyczne tom 34) by Waclaw Sierpinski, 1958 Elementary theory of numbers (Polska Akademia Nauk. Monografie matematyczne) by Waclaw Sierpinski, 1964 Biography - Sierpinski, Waclaw (1882-1969): An article from: Contemporary Authors by Gale Reference Team, 2003-01-01 Waclaw Sierpinski: An entry from Gale's <i>Science and Its Times</i> University of Warsaw Faculty: Michel Foucault, Waclaw Sierpinski, Kazimierz Kuratowski, Zygmunt Bauman, Leszek Kolakowski, Jerzy Szacki Polish Mathematics: Polish Mathematicians, Waclaw Sierpinski, Stefan Banach, Alfred Korzybski, Yulian Vasilievich Sokhotski, Albert Brudzewski

lists with details

1. Waclaw Sierpinski
   Waclaw Sierpinski (18821969). (Picture from 1910). Waclaw Sierpinskiwas born on March 14, 1882, in Warsaw, Poland. His abilities  
   http://ecademy.agnesscott.edu/~lriddle/ifs/siertri/sierbio.htm
   
   Extractions: Larry Riddle Home Sierpinski Gasket Sierpinski Carpet Sierpinski Pentagon ... Levy Dragon Waclaw Sierpinski (1882-1969) (Picture from 1910) Waclaw Sierpinski was born on March 14, 1882, in Warsaw, Poland. His abilities in mathematics were evident from childhood. In 1900 he entered the University of Warsaw, graduating four years later after having been awarded a gold medal for mathematics. From 1908 to 1914 Sierpinski lectured at the University of Lvov, followed by three years at the University of Moscow. After the end of World War I he returned to the University of Warsaw and spent the rest of his career there. By all accounts he was an excellent and simulating teacher. He received hononary doctorates from ten universities, was elected vice-president of the Polish Academy of Sciences, and was awarded the scientific prize of the first degree in 1949. Sierpinski died in Warsaw on May 14, 1969. Sierpinski's most important mathematical work was in the areas of set theory, point set topology, and number theory. He published over 700 papers and 50 books. The Canadian mathematician Cecilia Krieger translated his textbooks Introduction to General Topology (1934) and General Topology (1952) into English.

2. Dict Courbe De Sierpinski
   counting Waclaw Sierpinski During a class of calculus my lecturer suddenly checked himself and stared intently at the table in front of him for a while.  
   http://www.recreomath.qc.ca/dict_sierpinski_courbe.htm
   
   Extractions: Dictionnaire de mathématiques récréatives Sierpinski Waclaw (1882-1969) Courbe de Sierpinski. Courbe , réalisée par le mathématicien polonais Sierpinski en 1912, qui remplit complètement un carré donné. On trace d'abord un polygone fermé. On joint quatre polygones congruents en forme de croix. Ensuite, on joint quatre polygones congruents à l'un déjà tracé et ainsi de suite. Cette courbe appartient à la classe des courbes de remplissage et est dite pathologique Charles-É. Jean, 1996-2001. Tous droits réservés. Index : S

3. Sierpinski
   Waclaw Sierpinski. Born 14 March 1882 in Warsaw, Poland Died 21 Oct1969 in Warsaw, Poland. Waclaw Sierpinski's father was a doctor.  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Sierpinski.html
   
   Extractions: Waclaw Sierpinski 's father was a doctor. He attended school in Warsaw where his talent for mathematics was quickly spotted by his first mathematics teacher. This was a period of Russian occupation of Poland and it was a difficult time for the gifted Sierpinski to be educated in Poland. The Russians had forced their language and culture on the Poles in sweeping changes to all secondary schools implemented between 1869 and 1874. The Russian aim was to keep illiteracy in Poland as high as possible, so they discouraged learning and the number of students fell. Despite the difficulties, Sierpinski entered the Department of Mathematics and Physics of the University of Warsaw in 1899. It would be more accurate to describe it as the Czar's University since this was the official name of the University which had become a Russian university in 1869. The lectures at the University were all in Russian and the staff were entirely Russian. It is not surprising therefore that it would be the work of a Russian mathematician, one of his teachers Voronoy , that first attracted Sierpinski.

4. Waclaw Sierpinski
   Waclaw Sierpinski. Obituary. This is reproduced, with permission,from Acta Arithmetica 21 (1972) 113. Photo 1 2 3 4 5 6 7  
   http://www.numbertheory.org/obituaries/AA/sierpinski/

5. Waclaw Sierpinski - Wikipedia
   Other languages Polski. Waclaw Sierpinski. From Wikipedia, the free encyclopedia. WaclawSierpinski is interred in the Powazki Cemetery, Warsaw, Poland.  
   http://www.wikipedia.org/wiki/Waclaw_Sierpinski
   
   Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Other languages: Polski Deutsch From Wikipedia, the free encyclopedia. Waclaw Franciszek Sierpinski Polish spelling March 14 October 21 ) was a Polish mathematician , known for outstanding contributions to set theory (research on the axiom of choice and the continuum hypothesis number theory , theory of functions and topology He was born in Warsaw Two well-known fractals are named after him (the Sierpinski triangle and the Sierpinski carpet ), as are Sierpinski numbers and the associated Sierpinski problem. Waclaw Sierpinski is interred in the Powazki Cemetery Warsaw, Poland

6. Waclaw Sierpinski
   Waclaw Sierpinski 18821969 Waclaw Sierpinski attended school in Warsaw,where his talent for mathematics was quickly spotted by his teachers.  
   http://www.stetson.edu/~efriedma/periodictable/html/Si.html
   
   Extractions: Waclaw Sierpinski attended school in Warsaw, where his talent for mathematics was quickly spotted by his teachers. This was a period of Russian occupation of Poland and it was a difficult time for the gifted Sierpinski to be educated in Poland. Despite the difficulties, Sierpinski entered the Department of Mathematics and Physics of the University of Warsaw in 1899. When World War I began in 1914, Sierpinski and his family happened to be in Russia. He was interned for a time, and then allowed to go to Moscow. Sierpinski spent the rest of the war years in Moscow working with Luzin. Together they began the study of analytic sets. In 1916, during his time in Moscow, Sierpinski gave the first example of an absolutely normal number. Borel had proved such numbers exit but Sierpinski was the first to give an example. In 1919, he was promoted to professor at Warsaw, and he spent the rest of his life there. In 1920, Sierpinski and his former student Mazurkiewicz founded the important mathematics journal Fundamenta Mathematica . Sierpinski edited the journal, which specialised in papers on set theory.

7. Editions Jacques Gabay - Waclaw SIERPINSKI
   Translate this page Waclaw SIERPINSKI. Waclaw SIERPINSKI. 1882 - 1969. Au catalogue des EditionsJacques Gabay LUSIN Leçons sur les ensembles analytiques  
   http://www.gabay.com/sources/Liste_Bio.asp?NP=SIERPINSKI Waclaw

8. Waclaw Sierpinski - Wikipedia
   Translate this page Waclaw Sierpinski. aus Wikipedia, der freien Enzyklopädie. Waclaw FranciszekSierpinski (poln. Waclaw Sierpinski) wurde am 14.  
   http://de.wikipedia.org/wiki/Waclaw_Sierpinski
   
   Extractions: Hauptseite Letzte Änderungen Seite bearbeiten Versionen Spezialseiten Meine Benutzereinstellungen Meine Beobachtungsliste Zeige Letzte Änderungen Dateien hochladen Zeige hochgeladene Dateien Zeige registrierte Benutzer Zeige Seitenstatistik Zufälliger Artikel Zeige verwaiste Artikel Zeige verwaiste Dateien Zeige beliebte Artikel Zeige gewünschte Artikel Zeige kurze Artikel Zeige lange Artikel Zeige neue Artikel Zeige alle Artikel (alphabetisch) Zeige blockierte IP-Addressen Wartungsseite Externe Buchhandlungen Druckversion Diskussion Andere Sprachen: English Polski aus Wikipedia, der freien Enzyklopädie Waclaw Franciszek Sierpinski 14. März in Warschau geboren und starb dort am 21. Oktober . Er studierte am Institut für Mathematik und Physik an der Warschauer Universität. 1908 wurde er Dozent und 1910 schließlich Professor an der Universität von Lvov. ( noch übersetzen... He was known for outstanding contributions to set theory (research on the axiom of choice and the continuum hypothesis), number theory, theory of functions and topology. ) Zwei wohlbekannte Fraktale - das Sierpinski-Dreieck und der Sierpinski-Teppich - sind nach ihm benannt, genauso das Sierpinski-Problem.

9. Waclaw Sierpinski - Acapedia - Free Knowledge, For All
   Waclaw Sierpinski. From Wikipedia, the free encyclopedia. Waclaw Sierpinski isinterred in the Powazki Cemetery, Warsaw, Poland. Current Events. Sciences.  
   http://acapedia.org/aca/Waclaw_Sierpinski

10. Waclaw Sierpinski
    Waclaw Sierpinski. Nascut 14 martie 1882 in Varsovia, Polonia. Mort 21 octombrie1969 in Varsovia, Polonia. Tatal lui Waclaw Sierpinski a fost doctor.  
    http://www.liis.ro/html/pages/MateWeb/59.htm
    
    Extractions: Waclaw Sierpinski Nascut : 14 martie 1882 in Varsovia, Polonia Tatal lui Waclaw Sierpinski a fost doctor. El urmeaza cursurile scolii din Varsovia unde talentul sau pentru matematica era repede descoperit de primul sau profesor de matematica. Aceasta era perioada ocupatiei rusesti in Polonia si era dificil pentru talentatul Sierpinski sa fie educat in Polonia. Rusii au impus limba si cultura lor in Polonia dand buzna in scolile secundare infiintate intre 1869 si 1874. Rusii tinteau sa tina analfabetismul in Polonia pe toate caile posibile, asa ca descurajau invatatul si au scazut numarul studentilor. In ciuda dificultatilor, Sierpinski intra in Departamentul de Matematica si Fizica din Universitatea din Varsovia in 1899. Va avea mare acuratete in descrierea Universitatii “Czar” aceasta fiind numele oficial al Universitatii care devenea universitate ruseasca in 1869. Cursurile la universitate erau toate in ruseste si cadrele erau in totalitate rusesti. De aceea nu era surprins ca va munci cu matematicienii rusi, Vorony, unul dintre profesorii sai, atragandu-l de prima data pe Sierpinski.

11. Dict Triangle De Sierpinski
    Translate this page Dictionnaire de mathématiques récréatives. sierpinski waclaw (1882-1969).° Triangle de Sierpinski. – Fractal réalisé par  
    http://www.recreomath.qc.ca/dict_sierpinski_triangle.htm
    
    Extractions: Dictionnaire de mathématiques récréatives Sierpinski Waclaw (1882-1969) Triangle de Sierpinski. Fractal réalisé par Sierpinski à partir d'un triangle équilatéral. Le triangle est d'abord partagé en quatre triangles congruents dont celui du centre est vide. Chaque petit triangle noirci est partagé selon la même règle d'une façon indéfinie. Le résultat final a un périmètre fini et une aire nulle. Voici les premières transformations : Charles-É. Jean, 1996-2001. Tous droits réservés. Index : S

12. Einige Der Bedeutenden Mathematiker
    Translate this page Shannon Claude E. 1916-. Siegel Carl Ludwig, 1896-1981. sierpinski waclaw,1882-1969. Stieltjes Thomas Joannes, 1856-1894. Stifel Michael, 1486-1567.  
    http://www.zahlenjagd.at/mathematiker.html
    
    Extractions: Einige der bedeutenden Mathematiker Abel Niels Hendrik Appolonius von Perga ~230 v.Chr. Archimedes von Syrakus 287-212 v.Chr. Babbage Charles Banach Stefan Bayes Thomas Bernoulli Daniel Bernoulli Jakob Bernoulli Johann Bernoulli Nicolaus Bessel Friedrich Wilhelm Bieberbach Ludwig Birkhoff Georg David Bolyai János Bolzano Bernhard Boole George Borel Emile Briggs Henry Brouwer L.E.J. Cantor Georg Ferdinand Carroll Lewis Cassini Giovanni Domenico Cardano Girolamo Cauchy Augustin Louis Cayley Arthur Ceulen, Ludolph van Chomsky Noel Chwarismi Muhammed Ibn Musa Al Church Alonzo Cohen Paul Joseph Conway John Horton Courant Richard D'Alembert Jean Le Rond De Morgan Augustus Dedekind Julius Wilhelm Richard Descartes René Dieudonné Jean Diophantos von Alexandria ~250 v. Chr. Dirac Paul Adrien Maurice Dirichlet Peter Gustav Lejeune Eratosthenes von Kyrene 276-194 v.Chr. Euklid von Alexandria ~300 v.Chr. Euler Leonhard Fatou Pierre Fermat Pierre de Fischer Ronald A Sir Fourier Jean-Baptiste-Joseph Fraenkel Adolf Frege Gottlob Frobenius Ferdinand Georg Galois Evariste Galton Francis Sir Gauß Carl Friedrich Germain Marie-Sophie Gödel Kurt Goldbach Christian Hadamard Jacques Hamilton William Rowan Hausdorff Felix Hermite Charles Heawood Percy Heron von Alexandrien ~60 n.Chr.

13. Identifier = Letter Identifier Digit
    extends Applet { Panel topRow = new Panel(); // For a text field TextField in =new TextField( 1 ); // To input an order sierpinski waclaw; // Curve instance.  
    http://www.tcs.auckland.ac.nz/~georgy/teaching/1998/98-114ST/114-hand/sl5www.htm
    
    Extractions: Recursion: How Does It Work? A recirsive method is a method that either directly or indirectly makes a call to itself. An example: the factorial n ! where f n n f n n A recursive definition is self-referential and defines a method in terms of simpler instances of itself (e.g., f n ) in terms of f n -1), then f n -1) in terms of f n -2), and so forth until f (1) in terms of f There must be the base cases , that is, data values for which the method computes its output directly: f Java implementation: Examples of Recursive Definitions - Explicit recursion : a method M refers explicitly to itself. Implicit recursion : a method M refers to another method N that contains (explicit or implicit) reference to M. Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21, 34, ..., or how many rabbits you will have soon from a single pair):

14. Marmot Library Network /Marmot
    Mark Nearby AUTHORS are Year Entries Siepmann Otto 1900 1 Sierakowiak Dawid 19961 Siergey James 1975 1 Sierka Raymond A 1973 1 sierpinski waclaw 1882 1970 1  
    http://www.millennium.marmot.org:90/kids/10,340,356/search/aSierra Club./asierra
    
    Extractions: WORD AUTHOR TITLE SUBJECT Adams State College Aspen School District Basalt Regional Library District Colorado Mountain College Durango Public Library Durango Public Library Juvenile Eagle Valley Library District Eagle Valley Library Juvenile Garfield County Public Library Garfield County Public Library Juvenile Gunnison County Public Library Gunnison Public Library, Juvenile Collection Mesa County Public Library Mesa County Public Library, Juvenile Collection Mesa Valley School District 51 Mesa Valley School District 51 Elementary Schools Mesa State College Pitkin County Library Pitkin County Library, Juvenile Collection Plateau Valley School Plateau Valley School, Elementary Southwest Library Services Steamboat Springs Community Libraries Steamboat Springs Juvenile Collection Summit County Public Library Summit County Library, Juvenile Collection Wilkinson Public Library Wilkinson Public Library, Juvenile Vail Library Basalt Regional Library, Juvenile Collection ASD Elementary School ASD Middle School Lib. ASD High School Library GCP Carbondale Branch GCP Glenwood Branch GCP New Castle Branch GCP Parachute Branch GCP Rifle Branch GCP Silt Branch Grand County Grand County Juvenile SD51 Appleton Elementary SD51 Bookcliff Middle Sch SD51 Broadway Elementary SD51 Central High School SD51 Chatfield Elementary SD51 Clifton Elementary SD51 Columbine Elementary SD51 Dos Rios Elementary SD51 East Middle School SD51 Fruita High School SD51 Fruita Middle School SD51 Fruitvale Elementary

15. References For Sierpinski
    References for waclaw sierpinski. Biography in Dictionary of Scientific Biography(New York 19701990). LP de Alcantara, waclaw sierpinski (Portuguese), Bol.  
    http://www-gap.dcs.st-and.ac.uk/~history/References/Sierpinski.html
    
    Extractions: Z Adamowicz, Waclaw Sierpinski's contribution to general set theory (Polish), Wiadomosci matematyczne L P de Alcantara, Waclaw Sierpinski (Portuguese), Bol. Soc. Paran. Mat. Iv Dimovski, Waclaw Sierpinski (1882-1969) (Bulgarian), Fiz.-Mat. Spis. Bulgar. Akad. Nauk. R Engelking, The papers of Waclaw Sierpinski in topology (Polish), Wiadomosci matematyczne M M Fryde, Waclaw Sierpinski- Mathematician, Scripta Mathematica M M Fryde, Waclaw Sierpinski- mathematician, Polish Rev. K Kuratowski, Waclaw Sierpinski (1882-1969), Acta Arithmetica E Marczewski, On the works of Waclaw Sierpinski: Main trends of his works on set theory. Recollections and reflections (Polish), Wiadomosci matematyczne I G Mel'nikov, Waclaw Sierpinski (Russian), Istor.-Mat. Issled. Publications of Waclaw Sierpinski in the theory of numbers, Acta Arithmetica A Rotkiewicz, W Sierpinski's works on the theory of numbers, Rend. Circ. Mat. Palermo

16. Sierpinski
    Biography of waclaw sierpinski (18821969) Main index. waclaw sierpinski's father was a doctor.  
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sierpinski.html
    
    Extractions: Waclaw Sierpinski 's father was a doctor. He attended school in Warsaw where his talent for mathematics was quickly spotted by his first mathematics teacher. This was a period of Russian occupation of Poland and it was a difficult time for the gifted Sierpinski to be educated in Poland. The Russians had forced their language and culture on the Poles in sweeping changes to all secondary schools implemented between 1869 and 1874. The Russian aim was to keep illiteracy in Poland as high as possible, so they discouraged learning and the number of students fell. Despite the difficulties, Sierpinski entered the Department of Mathematics and Physics of the University of Warsaw in 1899. It would be more accurate to describe it as the Czar's University since this was the official name of the University which had become a Russian university in 1869. The lectures at the University were all in Russian and the staff were entirely Russian. It is not surprising therefore that it would be the work of a Russian mathematician, one of his teachers Voronoy , that first attracted Sierpinski.

17. Sierpinski, Waclaw (1882-1969) -- From Eric Weisstein's World Of Scientific Biog
    Nationality , Polish v. sierpinski, waclaw (18821969), Polish mathematicianwho contributed to number theory, topology, and set theory.  
    http://scienceworld.wolfram.com/biography/Sierpinski.html

18. VEDA
    11.11. MATEMATIKOVÉ V HISTORII waclaw sierpinski Jirí Svršek MATEMATIKOVÉV HISTORII waclaw sierpinski; MATEMATIKOVÉ V HISTORII Willem de Sitter;  
    http://pes.eunet.cz/veda/clanky/16529_48_0_0.html
    
    Extractions: Archiv vydání Nadpis Autor Text èlánku akce zaèíná na serveru HTTP://viditelne.prase.cz Motto akce: "Politik nemùže pøijímat do státního rozpoètu peníze získané prodejem nejnebezeènìjší drogy cigarety, která zabije jen v Èeské Republice dvacet tisíc lidí roènì, absurdnì v dobì, kdy policie a záchranné sbory musí a po právu prohlížet kupøíkladu obálky, ale i všeliké lokality, které jsou by jen podezøelé z toho, že by mohly být kontaminovány nebezpeènou nákazou. Policie nás chrání pøed terorem a patøí jí za to dík i ohleduplnost nás všech." Smrt a nemoci z cigaret nejsou legální tím, že je brání zkorumpovaní politikové, leckdy bohužel i prostou ignorací žurnalisté, èi lobisté tabákových koncernù. Smrt z cigaret je stejný teroristický èin jako kterýkoliv jiný a po duchu platných zákonù je veøejným ohrožením èíslo jedna. Což ví ostatnì i pan ministr zdravotnictví, jak nám vzkazuje na krabièkách, ale nikterak ho to nevzrušuje zøejmì?, nebo nechává cigarety dále distribuovat jako potraviny - v této souvislosti je smutné zjištìní, že žvýkací tabák neprojde.. Cigarety ano? Proè tedy cigareta není novokuøákùm zakázána, co hledá v kapitole "Potravináøský a tabákový prùmysl?" Co hledá na pultu každých potravin, ve skryté i otevøené reklamì. Dùmyslnou strategií tak asociuje zejména mladým lidem, že ono to zase tak hrozné není, to by to nedali do potravin, to by nekouøil ten a ten... Cigareta bez zábran hledá nové obìti a jejich nárùst u žákù základních i støedních škol je rekordní za poslední desetiletí.

19. VEDA
    11.11. MATEMATIKOVÉ V HISTORII waclaw sierpinski Jirí Svršek waclaw sierpinskipatrí bezesporu k nejvýznamnejším polským matematikum.  
    http://pes.eunet.cz/veda/48_0_0/1030572000.html
    
    Extractions: Jiøí Svršek Nìkdy se tvrdí, že na základì Gödelovy vìty o neúplnosti a souvisejících matematických výsledkù nemùže skuteèná umìlá inteligence existovat.Roger Penrose na základì existence lidské inteligence vyvozuje, že fyzikální teorie vyžadují fundamentální zmìny. John C. Collins dokazuje, že tyto úvahy jsou chybné. Jiøí Svršek Zermelo se zaèal zabývat problémy teorie množin, zejména Hilbertovou myšlenkou, která vedla k øešení hypotézy kontinua. V roce 1902 publikoval první práci o teorii množin, která se zabývala transfinitními kardinálními èísly. V roce 1904 se mu podaøil uèinit významný krok k øešení hypotézy, když dokázal, že každou množinu lze dobøe uspoøádat. Jiøí Svršek Snad vùbec nejlépe je Zeeman znám díky své práci na teorii katastrof, kterou sice vytvoøil René Thom, ale Zeeman tuto teorii uvedl do povìdomí široké veøejnosti díky jejím aplikacím. Zeeman byl prùkopníkem aplikací teorie katastrof v biologii, ve vìdách o chování a samozøejmì ve fyzice. Zeeman sestavil mechanické zaøízení, které ilustrovalo, jak nepatrná porucha mùže zpùsobit nesouvislé dùsledky.

20. Eliana Argenti E Tommaso Bientinesi- Caos E Oggetti Frattali - Waclaw Sierpinski
    TIPI DI FRATTALI FRATTALI E REALTA' Nato 14 Marzo 1882 a Varsavia, Polonia Morto21 Ottobre 1969 a Varsavia, Polonia waclaw sierpinski nacque in un periodo in cui la Polonia si trovava sotto l'occupazione della Russia.  
    http://space.tin.it/computer/eargenti/FRATTALI/nvitaSierp.htm
    
    Extractions: Morto:21 Ottobre 1969 a Varsavia, Polonia Waclaw Sierpinski nacque in un periodo in cui la Polonia si trovava sotto l'occupazione della Russia. I Russi avevano imposto la loro lingua e la loro cultura a tutte le scuole secondarie della Polonia e preferivano che i polacchi restassero analfabeti, tanto che il numero di studenti era crollato. Nonostante le difficoltà, Sierpinski entrò nel dipartimento di matematica e fisica dell'Università di Varsavia nel 1899. Nel 1903 vinse anche una medaglia d'oro per un suo saggio sulla teoria dei numeri, ma, non volendo che fosse pubblicato in russo, attese fino al 1907 quando fu edito in inglese.

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