SlideShare ist ein Scribd-Unternehmen logo
1 von 14
Stefan Banach 30 March 1892 – 31 August 1945 was a
Polish mathematician who is generally considered one of
the world's most important and influential 20th-century
mathematicians. He was one of the founders of modern
functional analysis, and an original member of the Lwów
School of Mathematics. His major work was the in 1932
book, Théorie des opérations linéaires (Theory of Linear
Operations), the first monograph on the general theory of
functional analysis.
Stefan Banach was born on 30 March 1892 at St. Lazarus General Hospital in Kraków, then
part of the Austro-Hungarian Empire. Banach's parents were Stefan Greczek and Katarzyna
Banach, both natives of the Podhale region. Greczek was a soldier in the Austro-Hungarian
Army stationed in Kraków. Little is known about Banach's mother.
Unusually, Stefan's surname was that of his mother instead of his father,
though he received his father's given name, Stefan. Since Stefan Greczek
was a private and was prevented by military regulations from marrying,
and the mother was too poor to support the child, the couple decided that
he should be reared by family and friends. Stefan spent the first few years
of his life with his grandmother, but when she took ill Greczek arranged for
his son to be raised by Franciszka Płowa and her niece Maria Puchalska in
Kraków. Young Stefan would regard Franciszka as his foster mother and
Maria as his older sister. In his early years Banach was tutored by Juliusz
Mien, a French intellectual and friend of the Płowa family, who had
emigrated to Poland and supported himself with photography and
translations of Polish literature into French. Mien taught Banach French
and most likely encouraged him in his early mathematical pursuits.
After obtaining his matura (high school degree) at age 18 in 1910,
Banach moved to Lwów with the intention of studying at the Lwów
Polytechnic. He initially chose engineering as his field of study since at
the time he was convinced that there was nothing new to discover in
mathematics. At some point he also attended Jagiellonian University
in Kraków on a part-time basis. As Banach had to earn money to
support his studies it was not until 1914 that he finally, at age 22,
passed his high school graduation exams.
When World War I broke out, Banach was excused from military
service due to his left-handedness and poor vision. When the Russian
Army opened its offensive toward Lwów, Banach left for Kraków,
where he spent the rest of the war. He made his living as a tutor at the
local gymnasiums, worked in a bookstore and as a foreman of road
building crew. He attended some lectures at the Jagiellonian
University at that time, including those of the famous Polish
mathematicians Stanisław Zaremba and Kazimierz Żorawski, but little
is known of that period of his life.
In 1902 Banach, aged 10, enrolled in Kraków's IV Gymnasium (also known as the Goetz
Gymnasium). While the school specialized in the humanities, Banach and his best friend
Witold Wiłkosz (also a future mathematician) spent most of their time working on
mathematics problems during breaks and after school. Later in life Banach would credit
Dr. Kamil Kraft, the mathematics and physics teacher at the gymnasium with kindling his
interests in mathematics. While generally Banach was a diligent student he did on
occasion receive low grades (he failed Greek during his first semester at the
gymnasium) and would later speak critically of the school's math teachers.
In 1916, in Kraków's Planty gardens, Banach encountered Professor
Hugo Steinhaus, one of the renowned mathematicians of the time.
According to Steinhaus, while he was strolling through the gardens
he was surprised to overhear the term "Lebesgue integral"
(Lebesgue integration was at the time still a fairly new idea in
mathematics) and walked over to investigate. As a result, he met
Banach, as well as Otto Nikodym.Steinhaus became fascinated
with the self-taught young mathematician. The encounter resulted
in a long-lasting collaboration and friendship. In fact, soon after
the encounter Steinhaus invited Banach to solve some problems
he had been working on but which had proven difficult. Banach
solved them within a week and the two soon published their first
joint work (On the Mean Convergence of Fourier Series).
Steinhaus, Banach and Nikodym, along with several other Kraków
mathematicians (Władysław Ślebodziński, Leon Chwistek, Alfred
Rosenblatt and Włodzimierz Stożek) also established a
mathematical society, which eventually became the Polish
Mathematical Society.[The society was officially founded on April
2, 1919. It was also through Steinhaus that Banach met his future
wife, Łucja Braus.
He was a lecturer, author of Wielun textbooks, including textbooks for Mathematical High School.
The first works related ITS Ranks Fourier (first published work together with Steinhaus decided
adversely problem of convergence of the average partial sums of Fourier series ), functions and
Ranks orthogonal, Maxwell's equations, functions, derivatives, measurable functions, Theory of
measure. The dissertation (published in 1922) AND monograph Théorie des opérations linéaires
gave the first axiomatic definition of space, named later his name (Banach space), which he
described as spaces of type B. cemented ultimately Basics extremely important in Modern
applications of mathematics Analyses functional. He handed her the fundamental theorem,
introduced IT terminologies, which accepted mathematicians worldwide.
After the re-occupation of Lvov by the Red Army (27 July
1944) continued his work at the University of Lviv as
head of the department of mathematics. He also
lectured at the Lviv Polytechnic Institute. He lived in a
friend's family Lviv merchants Riedlów in the building at
ul. Dwernickiego 12. The prepared his departure was
fixed to Krakow, where he was to take lectures at the
Jagiellonian University. In January 1945, however, he fell
ill with lung cancer and the trip did not take place. He
died on August 31, 1945, was buried in a tomb Riedlów
the Lychakiv Cemetery in Lviv next to the grave of Maria
Konopnicka. His funeral, which was attended by crowds
of residents of Lviv, was a great manifestation of the
Polish scientific community, which still remains in Lviv. At
the cemetery Łyczakowski żegnało it 16 speakers.
His grave
Polish Mathematical Society funded research award them. Banach
(1946), his name streets in university towns, in 1972, created the
International Center for Mathematical them. S. Banach at the Institute
of Mathematics of the Polish Academy of Sciences, and in 1992 - the
centenary of the birth - established Kill them. Banach Prize for
outstanding achievements in the field of mathematical sciences . Since
2009 he is awarded the International Prize. Stefan Banach.
Since 2001, the asteroid number 16856 marked 1997YE8 named after
Stefan Banach .
April 3, 2012, the National Bank of Polish commemorated Banach on
the gold coin of 200 zł, 10 zł silver and 2 zł Nordic Gold. The coins were
designed by Robert Kotowicz
October 14, 2016 year to Planty unveiled bench with figures of Stefan
Banach and Otto Nikodym commemorating the 100 year anniversary of
the conversation he held mathematicians, by the way you came to the
meeting with Hugo Steinhaus .
Zygmunt Janiszewski (b. June 12 or July 12 [1] in 1888 in Warsaw, died.
January 3, 1920 in Lviv) - Polish mathematician, organizer of science, one
of the leading representatives of the Warsaw school of mathematics.
He studied in Zurich, Göttingen and Paris. Doctoral thesis Fri. Sur les
continus irréductibles entre deux points, the promoter was Henri
Lebesgue, defended in 1911. The examination committee consisted of
mathematicians such as Henri Poincaré and Maurice Fréchet. In 1913 he
published a fundamental work On cutting the plane by continua (O
cutting the plane by continua) concerning topology of the plane.
In 1914-1915, a soldier of the Polish Legions. In 1918 he became
professor at the University of Warsaw. In 1920, died at the age of 31 with
the flu, the pandemic of 1918-1920 is known colloquially as the Spaniard.
Inherited ancestral property and part of their income allocated for the
purposes of educational and social.
His work mainly related to the topology, and therefore is considered one
of the founders of the Warsaw school topology. As the author of the
program for the development of Polish mathematics (which became the
basis for the creation of Polish school of mathematics), he postulated the
focus on set theory, topology and mathematical logic. He was a co-
founder of the world's first specialized magazine mathematical
"Fundamenta Mathematicae".
Waclaw Sierpinski Francis (b March 14, 1882 in Warsaw, died October
21, 1969 r ..) - Polish mathematician, one of the leading
representatives of the Warsaw school of mathematics and the
founders of the Polish school of mathematics.
He left a huge scientific achievements, including, in addition to many
books, 724 works and communications, 113 articles and 13 scripts. This
included number theory, mathematical analysis, general and
descriptive set theory, topology mnogościowej, measure theory and
the theory of categories and functions of a real variable. Of particular
importance are his works on the axiom of choice and the continuum
hypothesis.
In 1906 he was awarded the degree of Doctor of Philosophy at the
Faculty of Philosophy of the Jagiellonian University on the work of The
summation of a series Σ + n2≤x f m2 (m2 + n2) (ITS promoter was
botanist Edward JANCZEWSKI-Glinka). After returning to do warsaw
taught in Polish schools Medium Private, Seminary Teachers weights
Ursynowie and taught mathematics NA Higher Courses Scientific,
equivalent unofficial Polish University in Warsaw.
Wladyslaw Orlicz (b May 24, 1903 in Okocim, d
August 9, 1990 in Poznan ..) - Polish mathematician,
belonging to the so-called. Lvov School of
Mathematics. He worked as a professor at the
University of Poznan. His works are perpendicular
series of functional analysis and foremost. Among
his most important achievements was the
development of the theory of some kind of
functional spaces (Orlicz spaces and Musielak-
Orlicz). He proved the theorem in the theory of
Banach spaces called today say Orlicz-Pettisa.Studia
polytechnic does not give him trouble. But they
were not sufficient for him fascinating and when he
decided to change the university. He began his
studies at the Faculty of Philosophy (transformed
into the Faculty of Mathematics and Natural
Sciences) at the University of Lvov start exploring
the secrets of mathematics.
BY KINGA
GRUCA 2D

Weitere ähnliche Inhalte

Was ist angesagt?

Albert einstein
Albert einsteinAlbert einstein
Albert einstein
kebe94
 
Into to Ed Technology Lev Vygotsky power point by Judith Grafton
Into to Ed Technology Lev Vygotsky power point by Judith GraftonInto to Ed Technology Lev Vygotsky power point by Judith Grafton
Into to Ed Technology Lev Vygotsky power point by Judith Grafton
jdgrafton
 

Was ist angesagt? (19)

Aleksandra Gorzkowicz
 Aleksandra Gorzkowicz Aleksandra Gorzkowicz
Aleksandra Gorzkowicz
 
Womenphd112421
Womenphd112421Womenphd112421
Womenphd112421
 
Stefan banach
Stefan banachStefan banach
Stefan banach
 
Nikolay Lobachevsky
Nikolay LobachevskyNikolay Lobachevsky
Nikolay Lobachevsky
 
Marie curie
Marie curieMarie curie
Marie curie
 
Vygotsky
VygotskyVygotsky
Vygotsky
 
Einstein
EinsteinEinstein
Einstein
 
Professor Ákos Császár
Professor Ákos CsászárProfessor Ákos Császár
Professor Ákos Császár
 
Albert einstein
Albert einsteinAlbert einstein
Albert einstein
 
Moustafa
MoustafaMoustafa
Moustafa
 
Ae134f8a
Ae134f8aAe134f8a
Ae134f8a
 
Albert Einstein at school
Albert Einstein at school Albert Einstein at school
Albert Einstein at school
 
Adam mickiewicz
Adam mickiewiczAdam mickiewicz
Adam mickiewicz
 
Danil Toradse Interview
Danil Toradse InterviewDanil Toradse Interview
Danil Toradse Interview
 
Worksheet - Albert Einstein
Worksheet - Albert EinsteinWorksheet - Albert Einstein
Worksheet - Albert Einstein
 
Reinhard selten teori permainan tugas
Reinhard selten teori permainan tugas Reinhard selten teori permainan tugas
Reinhard selten teori permainan tugas
 
Into to Ed Technology Lev Vygotsky power point by Judith Grafton
Into to Ed Technology Lev Vygotsky power point by Judith GraftonInto to Ed Technology Lev Vygotsky power point by Judith Grafton
Into to Ed Technology Lev Vygotsky power point by Judith Grafton
 
Kunda kool
Kunda koolKunda kool
Kunda kool
 
грушевський драгоманов
грушевський драгомановгрушевський драгоманов
грушевський драгоманов
 

Andere mochten auch

Gregory Sam professional_profile
Gregory Sam professional_profileGregory Sam professional_profile
Gregory Sam professional_profile
Gregory Sam
 
Lancera Company Profile
Lancera Company ProfileLancera Company Profile
Lancera Company Profile
Calvin Gordon
 
Professional Resume II - Anthony Philip Potgieter - 092015
Professional Resume II - Anthony Philip Potgieter - 092015Professional Resume II - Anthony Philip Potgieter - 092015
Professional Resume II - Anthony Philip Potgieter - 092015
Anthony Potgieter
 
SDN_and_NFV_technologies_in_IoT_Networks
SDN_and_NFV_technologies_in_IoT_NetworksSDN_and_NFV_technologies_in_IoT_Networks
SDN_and_NFV_technologies_in_IoT_Networks
Srinivasa Addepalli
 
Acceleration_and_Security_draft_v2
Acceleration_and_Security_draft_v2Acceleration_and_Security_draft_v2
Acceleration_and_Security_draft_v2
Srinivasa Addepalli
 

Andere mochten auch (16)

Gregory Sam professional_profile
Gregory Sam professional_profileGregory Sam professional_profile
Gregory Sam professional_profile
 
CV-KAILASH NOV 2014
CV-KAILASH                     NOV 2014CV-KAILASH                     NOV 2014
CV-KAILASH NOV 2014
 
Lancera Company Profile
Lancera Company ProfileLancera Company Profile
Lancera Company Profile
 
Snehal's work
Snehal's workSnehal's work
Snehal's work
 
1610
16101610
1610
 
CV - GMS
CV - GMSCV - GMS
CV - GMS
 
Professional Resume II - Anthony Philip Potgieter - 092015
Professional Resume II - Anthony Philip Potgieter - 092015Professional Resume II - Anthony Philip Potgieter - 092015
Professional Resume II - Anthony Philip Potgieter - 092015
 
Ncsp 07
Ncsp 07Ncsp 07
Ncsp 07
 
BalajiRavi CV
BalajiRavi CVBalajiRavi CV
BalajiRavi CV
 
ECCM14_045-ECCM14
ECCM14_045-ECCM14ECCM14_045-ECCM14
ECCM14_045-ECCM14
 
Gourab resume 08.24.15
Gourab resume 08.24.15Gourab resume 08.24.15
Gourab resume 08.24.15
 
Horizon shutters - www.horizonshutters.ie
Horizon shutters - www.horizonshutters.ieHorizon shutters - www.horizonshutters.ie
Horizon shutters - www.horizonshutters.ie
 
SDN_and_NFV_technologies_in_IoT_Networks
SDN_and_NFV_technologies_in_IoT_NetworksSDN_and_NFV_technologies_in_IoT_Networks
SDN_and_NFV_technologies_in_IoT_Networks
 
Acceleration_and_Security_draft_v2
Acceleration_and_Security_draft_v2Acceleration_and_Security_draft_v2
Acceleration_and_Security_draft_v2
 
Barilgin tuhai huuli
Barilgin tuhai huuliBarilgin tuhai huuli
Barilgin tuhai huuli
 
Comparison of machine learning algorithms for e commerce
Comparison of machine learning algorithms for e commerceComparison of machine learning algorithms for e commerce
Comparison of machine learning algorithms for e commerce
 

Ähnlich wie Polish Mathematicians by Kinga Gruca 2d

Polish poets and writers
Polish poets and writersPolish poets and writers
Polish poets and writers
Mehmet Tokgöz
 
Albert einstein
Albert einsteinAlbert einstein
Albert einstein
kebe94
 

Ähnlich wie Polish Mathematicians by Kinga Gruca 2d (20)

Stefan Banach
Stefan BanachStefan Banach
Stefan Banach
 
Stefan banach
Stefan banachStefan banach
Stefan banach
 
Trigonometry 3A
Trigonometry 3ATrigonometry 3A
Trigonometry 3A
 
Some distinguished graduates of Jagiellonian University, 1918-1939
Some distinguished graduates of Jagiellonian University, 1918-1939Some distinguished graduates of Jagiellonian University, 1918-1939
Some distinguished graduates of Jagiellonian University, 1918-1939
 
History of Mathematics - Early to Present Period
History of Mathematics - Early to Present PeriodHistory of Mathematics - Early to Present Period
History of Mathematics - Early to Present Period
 
Iconology
IconologyIconology
Iconology
 
Albert Einstein.docx
Albert Einstein.docxAlbert Einstein.docx
Albert Einstein.docx
 
Biography of Albert einstein
Biography of Albert einsteinBiography of Albert einstein
Biography of Albert einstein
 
Famous people - Poland
Famous people - PolandFamous people - Poland
Famous people - Poland
 
Famous mathematicians
Famous mathematiciansFamous mathematicians
Famous mathematicians
 
Isaac newton
Isaac newtonIsaac newton
Isaac newton
 
Nobel prize in_literature
Nobel prize in_literatureNobel prize in_literature
Nobel prize in_literature
 
Albert einstein
Albert einsteinAlbert einstein
Albert einstein
 
Albert Einstein - the most famous physicist
Albert Einstein - the most famous physicistAlbert Einstein - the most famous physicist
Albert Einstein - the most famous physicist
 
Henryk Sienkiewicz & Bronisław Malinowski gim 133
Henryk Sienkiewicz & Bronisław Malinowski gim 133Henryk Sienkiewicz & Bronisław Malinowski gim 133
Henryk Sienkiewicz & Bronisław Malinowski gim 133
 
THE ERDOS PARADOX
THE ERDOS PARADOXTHE ERDOS PARADOX
THE ERDOS PARADOX
 
Electronic Structure of an Atom
Electronic Structure of an AtomElectronic Structure of an Atom
Electronic Structure of an Atom
 
Polish poets and writers
Polish poets and writersPolish poets and writers
Polish poets and writers
 
Albert einstein
Albert einsteinAlbert einstein
Albert einstein
 
Albert Einstein
Albert EinsteinAlbert Einstein
Albert Einstein
 

Mehr von magdajanusz

Why are games significant in education . Fit for future
Why are games significant in education . Fit for futureWhy are games significant in education . Fit for future
Why are games significant in education . Fit for future
magdajanusz
 
Drama in education - Fit for future - Erasmus +
Drama in education - Fit for future - Erasmus +Drama in education - Fit for future - Erasmus +
Drama in education - Fit for future - Erasmus +
magdajanusz
 
How can we influence political decision in Poland
How can we influence political decision in PolandHow can we influence political decision in Poland
How can we influence political decision in Poland
magdajanusz
 
The 12 dishes of Christmas Eve in Poland - Erasmus + Fit for Future.
The 12 dishes of  Christmas Eve in Poland - Erasmus + Fit for Future.The 12 dishes of  Christmas Eve in Poland - Erasmus + Fit for Future.
The 12 dishes of Christmas Eve in Poland - Erasmus + Fit for Future.
magdajanusz
 
Final product - Our Planet Our Future- calendar 2020
Final product -  Our Planet Our Future- calendar 2020Final product -  Our Planet Our Future- calendar 2020
Final product - Our Planet Our Future- calendar 2020
magdajanusz
 
Happiness- exploring nature - by Polish team
Happiness- exploring nature - by Polish teamHappiness- exploring nature - by Polish team
Happiness- exploring nature - by Polish team
magdajanusz
 
Lithuania - what we know about this country - by Polish Team
Lithuania - what we know about this country - by Polish TeamLithuania - what we know about this country - by Polish Team
Lithuania - what we know about this country - by Polish Team
magdajanusz
 
Political and environmental issues
Political and environmental issuesPolitical and environmental issues
Political and environmental issues
magdajanusz
 
Polish team cosequences of melting
Polish team   cosequences of meltingPolish team   cosequences of melting
Polish team cosequences of melting
magdajanusz
 
Consequences of the melting of the ice caps -by Polish team
Consequences of the melting of the ice caps -by Polish teamConsequences of the melting of the ice caps -by Polish team
Consequences of the melting of the ice caps -by Polish team
magdajanusz
 
Portuguese students-diary-italy-fff-erasmus-project
Portuguese students-diary-italy-fff-erasmus-projectPortuguese students-diary-italy-fff-erasmus-project
Portuguese students-diary-italy-fff-erasmus-project
magdajanusz
 
Memories - meeting in Italy - by students
Memories - meeting in Italy - by studentsMemories - meeting in Italy - by students
Memories - meeting in Italy - by students
magdajanusz
 
Szent anna school - Hungarian school
Szent anna school - Hungarian schoolSzent anna school - Hungarian school
Szent anna school - Hungarian school
magdajanusz
 

Mehr von magdajanusz (20)

Meeting in Turkey.pptx
Meeting in Turkey.pptxMeeting in Turkey.pptx
Meeting in Turkey.pptx
 
Why are games significant in education . Fit for future
Why are games significant in education . Fit for futureWhy are games significant in education . Fit for future
Why are games significant in education . Fit for future
 
Drama in education - Fit for future - Erasmus +
Drama in education - Fit for future - Erasmus +Drama in education - Fit for future - Erasmus +
Drama in education - Fit for future - Erasmus +
 
Traditional games in Portugal
Traditional games in PortugalTraditional games in Portugal
Traditional games in Portugal
 
Outdoor games - Erasmus + by Polish team
Outdoor games - Erasmus + by Polish teamOutdoor games - Erasmus + by Polish team
Outdoor games - Erasmus + by Polish team
 
How can we influence political decision in Poland
How can we influence political decision in PolandHow can we influence political decision in Poland
How can we influence political decision in Poland
 
The 12 dishes of Christmas Eve in Poland - Erasmus + Fit for Future.
The 12 dishes of  Christmas Eve in Poland - Erasmus + Fit for Future.The 12 dishes of  Christmas Eve in Poland - Erasmus + Fit for Future.
The 12 dishes of Christmas Eve in Poland - Erasmus + Fit for Future.
 
Final product - Our Planet Our Future- calendar 2020
Final product -  Our Planet Our Future- calendar 2020Final product -  Our Planet Our Future- calendar 2020
Final product - Our Planet Our Future- calendar 2020
 
Happiness- exploring nature - by Polish team
Happiness- exploring nature - by Polish teamHappiness- exploring nature - by Polish team
Happiness- exploring nature - by Polish team
 
Planning feature
Planning featurePlanning feature
Planning feature
 
Lithuania - what we know about this country - by Polish Team
Lithuania - what we know about this country - by Polish TeamLithuania - what we know about this country - by Polish Team
Lithuania - what we know about this country - by Polish Team
 
Political and environmental issues
Political and environmental issuesPolitical and environmental issues
Political and environmental issues
 
Ocean- By Polish Team
Ocean- By Polish TeamOcean- By Polish Team
Ocean- By Polish Team
 
Ocean- By Polish Team
Ocean- By Polish TeamOcean- By Polish Team
Ocean- By Polish Team
 
Polish team cosequences of melting
Polish team   cosequences of meltingPolish team   cosequences of melting
Polish team cosequences of melting
 
Consequences of the melting of the ice caps -by Polish team
Consequences of the melting of the ice caps -by Polish teamConsequences of the melting of the ice caps -by Polish team
Consequences of the melting of the ice caps -by Polish team
 
Portuguese students-diary-italy-fff-erasmus-project
Portuguese students-diary-italy-fff-erasmus-projectPortuguese students-diary-italy-fff-erasmus-project
Portuguese students-diary-italy-fff-erasmus-project
 
Memories - meeting in Italy - by students
Memories - meeting in Italy - by studentsMemories - meeting in Italy - by students
Memories - meeting in Italy - by students
 
Szent anna school - Hungarian school
Szent anna school - Hungarian schoolSzent anna school - Hungarian school
Szent anna school - Hungarian school
 
We learn for life 2018 2019
We learn for life 2018 2019We learn for life 2018 2019
We learn for life 2018 2019
 

Kürzlich hochgeladen

Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 

Kürzlich hochgeladen (20)

Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
TỔNG ÔN TẬP THI VÀO LỚP 10 MÔN TIẾNG ANH NĂM HỌC 2023 - 2024 CÓ ĐÁP ÁN (NGỮ Â...
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 
This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.This PowerPoint helps students to consider the concept of infinity.
This PowerPoint helps students to consider the concept of infinity.
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
Introduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The BasicsIntroduction to Nonprofit Accounting: The Basics
Introduction to Nonprofit Accounting: The Basics
 
Python Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docxPython Notes for mca i year students osmania university.docx
Python Notes for mca i year students osmania university.docx
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
2024-NATIONAL-LEARNING-CAMP-AND-OTHER.pptx
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 

Polish Mathematicians by Kinga Gruca 2d

  • 1.
  • 2. Stefan Banach 30 March 1892 – 31 August 1945 was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians. He was one of the founders of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the in 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of functional analysis.
  • 3. Stefan Banach was born on 30 March 1892 at St. Lazarus General Hospital in Kraków, then part of the Austro-Hungarian Empire. Banach's parents were Stefan Greczek and Katarzyna Banach, both natives of the Podhale region. Greczek was a soldier in the Austro-Hungarian Army stationed in Kraków. Little is known about Banach's mother. Unusually, Stefan's surname was that of his mother instead of his father, though he received his father's given name, Stefan. Since Stefan Greczek was a private and was prevented by military regulations from marrying, and the mother was too poor to support the child, the couple decided that he should be reared by family and friends. Stefan spent the first few years of his life with his grandmother, but when she took ill Greczek arranged for his son to be raised by Franciszka Płowa and her niece Maria Puchalska in Kraków. Young Stefan would regard Franciszka as his foster mother and Maria as his older sister. In his early years Banach was tutored by Juliusz Mien, a French intellectual and friend of the Płowa family, who had emigrated to Poland and supported himself with photography and translations of Polish literature into French. Mien taught Banach French and most likely encouraged him in his early mathematical pursuits.
  • 4. After obtaining his matura (high school degree) at age 18 in 1910, Banach moved to Lwów with the intention of studying at the Lwów Polytechnic. He initially chose engineering as his field of study since at the time he was convinced that there was nothing new to discover in mathematics. At some point he also attended Jagiellonian University in Kraków on a part-time basis. As Banach had to earn money to support his studies it was not until 1914 that he finally, at age 22, passed his high school graduation exams. When World War I broke out, Banach was excused from military service due to his left-handedness and poor vision. When the Russian Army opened its offensive toward Lwów, Banach left for Kraków, where he spent the rest of the war. He made his living as a tutor at the local gymnasiums, worked in a bookstore and as a foreman of road building crew. He attended some lectures at the Jagiellonian University at that time, including those of the famous Polish mathematicians Stanisław Zaremba and Kazimierz Żorawski, but little is known of that period of his life. In 1902 Banach, aged 10, enrolled in Kraków's IV Gymnasium (also known as the Goetz Gymnasium). While the school specialized in the humanities, Banach and his best friend Witold Wiłkosz (also a future mathematician) spent most of their time working on mathematics problems during breaks and after school. Later in life Banach would credit Dr. Kamil Kraft, the mathematics and physics teacher at the gymnasium with kindling his interests in mathematics. While generally Banach was a diligent student he did on occasion receive low grades (he failed Greek during his first semester at the gymnasium) and would later speak critically of the school's math teachers.
  • 5. In 1916, in Kraków's Planty gardens, Banach encountered Professor Hugo Steinhaus, one of the renowned mathematicians of the time. According to Steinhaus, while he was strolling through the gardens he was surprised to overhear the term "Lebesgue integral" (Lebesgue integration was at the time still a fairly new idea in mathematics) and walked over to investigate. As a result, he met Banach, as well as Otto Nikodym.Steinhaus became fascinated with the self-taught young mathematician. The encounter resulted in a long-lasting collaboration and friendship. In fact, soon after the encounter Steinhaus invited Banach to solve some problems he had been working on but which had proven difficult. Banach solved them within a week and the two soon published their first joint work (On the Mean Convergence of Fourier Series). Steinhaus, Banach and Nikodym, along with several other Kraków mathematicians (Władysław Ślebodziński, Leon Chwistek, Alfred Rosenblatt and Włodzimierz Stożek) also established a mathematical society, which eventually became the Polish Mathematical Society.[The society was officially founded on April 2, 1919. It was also through Steinhaus that Banach met his future wife, Łucja Braus.
  • 6. He was a lecturer, author of Wielun textbooks, including textbooks for Mathematical High School. The first works related ITS Ranks Fourier (first published work together with Steinhaus decided adversely problem of convergence of the average partial sums of Fourier series ), functions and Ranks orthogonal, Maxwell's equations, functions, derivatives, measurable functions, Theory of measure. The dissertation (published in 1922) AND monograph Théorie des opérations linéaires gave the first axiomatic definition of space, named later his name (Banach space), which he described as spaces of type B. cemented ultimately Basics extremely important in Modern applications of mathematics Analyses functional. He handed her the fundamental theorem, introduced IT terminologies, which accepted mathematicians worldwide.
  • 7. After the re-occupation of Lvov by the Red Army (27 July 1944) continued his work at the University of Lviv as head of the department of mathematics. He also lectured at the Lviv Polytechnic Institute. He lived in a friend's family Lviv merchants Riedlów in the building at ul. Dwernickiego 12. The prepared his departure was fixed to Krakow, where he was to take lectures at the Jagiellonian University. In January 1945, however, he fell ill with lung cancer and the trip did not take place. He died on August 31, 1945, was buried in a tomb Riedlów the Lychakiv Cemetery in Lviv next to the grave of Maria Konopnicka. His funeral, which was attended by crowds of residents of Lviv, was a great manifestation of the Polish scientific community, which still remains in Lviv. At the cemetery Łyczakowski żegnało it 16 speakers.
  • 9. Polish Mathematical Society funded research award them. Banach (1946), his name streets in university towns, in 1972, created the International Center for Mathematical them. S. Banach at the Institute of Mathematics of the Polish Academy of Sciences, and in 1992 - the centenary of the birth - established Kill them. Banach Prize for outstanding achievements in the field of mathematical sciences . Since 2009 he is awarded the International Prize. Stefan Banach. Since 2001, the asteroid number 16856 marked 1997YE8 named after Stefan Banach . April 3, 2012, the National Bank of Polish commemorated Banach on the gold coin of 200 zł, 10 zł silver and 2 zł Nordic Gold. The coins were designed by Robert Kotowicz October 14, 2016 year to Planty unveiled bench with figures of Stefan Banach and Otto Nikodym commemorating the 100 year anniversary of the conversation he held mathematicians, by the way you came to the meeting with Hugo Steinhaus .
  • 10.
  • 11. Zygmunt Janiszewski (b. June 12 or July 12 [1] in 1888 in Warsaw, died. January 3, 1920 in Lviv) - Polish mathematician, organizer of science, one of the leading representatives of the Warsaw school of mathematics. He studied in Zurich, Göttingen and Paris. Doctoral thesis Fri. Sur les continus irréductibles entre deux points, the promoter was Henri Lebesgue, defended in 1911. The examination committee consisted of mathematicians such as Henri Poincaré and Maurice Fréchet. In 1913 he published a fundamental work On cutting the plane by continua (O cutting the plane by continua) concerning topology of the plane. In 1914-1915, a soldier of the Polish Legions. In 1918 he became professor at the University of Warsaw. In 1920, died at the age of 31 with the flu, the pandemic of 1918-1920 is known colloquially as the Spaniard. Inherited ancestral property and part of their income allocated for the purposes of educational and social. His work mainly related to the topology, and therefore is considered one of the founders of the Warsaw school topology. As the author of the program for the development of Polish mathematics (which became the basis for the creation of Polish school of mathematics), he postulated the focus on set theory, topology and mathematical logic. He was a co- founder of the world's first specialized magazine mathematical "Fundamenta Mathematicae".
  • 12. Waclaw Sierpinski Francis (b March 14, 1882 in Warsaw, died October 21, 1969 r ..) - Polish mathematician, one of the leading representatives of the Warsaw school of mathematics and the founders of the Polish school of mathematics. He left a huge scientific achievements, including, in addition to many books, 724 works and communications, 113 articles and 13 scripts. This included number theory, mathematical analysis, general and descriptive set theory, topology mnogościowej, measure theory and the theory of categories and functions of a real variable. Of particular importance are his works on the axiom of choice and the continuum hypothesis. In 1906 he was awarded the degree of Doctor of Philosophy at the Faculty of Philosophy of the Jagiellonian University on the work of The summation of a series Σ + n2≤x f m2 (m2 + n2) (ITS promoter was botanist Edward JANCZEWSKI-Glinka). After returning to do warsaw taught in Polish schools Medium Private, Seminary Teachers weights Ursynowie and taught mathematics NA Higher Courses Scientific, equivalent unofficial Polish University in Warsaw.
  • 13. Wladyslaw Orlicz (b May 24, 1903 in Okocim, d August 9, 1990 in Poznan ..) - Polish mathematician, belonging to the so-called. Lvov School of Mathematics. He worked as a professor at the University of Poznan. His works are perpendicular series of functional analysis and foremost. Among his most important achievements was the development of the theory of some kind of functional spaces (Orlicz spaces and Musielak- Orlicz). He proved the theorem in the theory of Banach spaces called today say Orlicz-Pettisa.Studia polytechnic does not give him trouble. But they were not sufficient for him fascinating and when he decided to change the university. He began his studies at the Faculty of Philosophy (transformed into the Faculty of Mathematics and Natural Sciences) at the University of Lvov start exploring the secrets of mathematics.