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         Banach Stefan:     more books (44)
  1. Optimization with PDE Constraints (Mathematical Modelling: Theory and Applications) by Michael Hinze, Rene Pinnau, et all 2008-11-17

61. The Science Bookstore - Books
banach, stefan. Theorie des Operations Lineaires. Warsaw Z Subwencji FunduszuKultury Narodowej, 1932. banach, stefan. Theorie des Operations Lineaires.
http://www.thesciencebookstore.com/bookmain.asp?bookcat=Mathematics

62. Publications Of Prof. Dr. Stefan Heinrich
Prof. Dr. stefan Heinrich. J. Symb. Logic 52, 368373 (1987). banach spacemodel theory. II Isomorphic equivalence with C. Henson Math. Nachr.
http://www.uni-kl.de/AG-Heinrich/Publications.html
Prof. Dr. Stefan Heinrich Publications
Quantum Integration in Sobolev Classes
Paper submitted to the Journal of Complexity. Abstract and paper avaibable at http://arXiv.org/abs/quant-ph/0112153
From Monte Carlo to Quantum Computation
Paper submitted to the Proceedings of the 3rd IMACS Seminar on Monte Carlo Methods, MCM 2001, Salzburg, 2001. [ps] [pdf]
On a Problem in Quantum Summation
with E. Novak Paper submitted to the Journal of Complexity. Abstract and paper avaibable at http://arXiv.org/abs/quant-ph/0109038
Optimal Quadrature for Haar Wavelet Spaces
with F. J. Hickernell and R.-X. Yue Paper submitted to Math. Comput. [ps] [pdf]
Quantum Summation with an Application to Integration
Paper submitted to the Journal of Complexity. Abstract and paper avaibable at http://arXiv.org/abs/quant-ph/0105116
Optimal Summation and Integration by Deterministic, Randomized, and Quantum Algorithms
with E. Novak Paper submitted to the Proceedings of the 4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods, Hong Kong 2000. Abstract and paper avaibable at http://arXiv.org/abs/quant-ph/0105114

63. INDEX
Translate this page Joseph A. Baltes, Henry Baltimore, David Baltzer, Heinrich Richard Balzert, HeideBal azs, J anos Balázs, Nándor banach, S. banach, stefan banach, stefan
http://www.cwi.nl/~wouter/DATA/pictures/names.html
INDEX PICTURE DATABASE
A
B C D ... Z
A
Aazhang, Behnaam
Abadi, M.

Abadi, Martin

Abbadi, Amr el
...
Azbelev, N. V.
B
B"achtold, Martin
B"olcskei, Helmut

Baayen, P. C.

Babbage, Charles
...
Bürgi, Jost
C
Cacciabue, Pietro Carlo
Caccioppoli, Renato
Caffarelli, L.A. Cahill, Patrick T. ... Córdoba, António
D
D"urre, Karl D'Andrea, Aldo N. D'Atri, J. Da Costa, Newton C. A. ... Dürre, Karl P.
E
Eberle, Karin Eberlein, W.F. Eberstark, Hans Ebrahimi, Touradj ... Ezhkova, Irina Vasilyevna
F
F"urstenberg, Harry Fabes, Eugene B. Faci, Mohammed Faddeev, Lyudvig Dmitrievich ... Fuster Casas, D. Jose
G
G"odel, K. G"odel, Kurt G"ortler, H. G"unter, Paul ... Gödel, Kurt
H
H"older, Ernst H"older, Otto H"ormander, Lars Haantjes, J. ... Hülsemann, Johannes
I
I, Chih-Lin Ibnkahla, Mohamed Ienne, Paolo Iinatti, Jari H. ... Izzard, Martin
J
J"orgens, Konrad Jaaksoo, Ülo Jablonsky, Boleslav Jackson, Michael ... Jwo, Jung-Sing
K
K"ahler, Erich K"ohler, Torsten K"onig, Heinz K"onigsberger, Leo ... Kühn, Johannes
L
L"owig, H.F.J. L"owner, Karl L'Abbé, M.A. L'Ecuyer, Pierre ... Lück, Wolfgang
M
M"obius, August Ferdinand M"oller, Rolf M"uhll-His Karl von der M"uller, Claus ... Müntzer, Thomas
N
Nacabal, Francois

64. Stefan Banach (30.03.1892 - 31.08.1945)
stefan banach 30.03.1892 31.08.1945 stefan banach, syn stefana Grzeczeka,mieszkanca staroststwa krakowskiego (30 marca 1892 - 31 sierpnia 1945).
http://www.polynet.lviv.ua/Institute/IFN/himath/history/Banach_Stefan/Banach_pol
Stefan Banach Stefan Banach, syn Stefana Grzeczeka, mieszkańca staroststwa krakowskiego (30 marca - 31 sierpnia ). Urodił się w Krakowie, polak. Po zakończeniu Krak³wskiego gimnazium w r. wstępił na fakultet budowy maszyn Lw³wskiej szkoły politechnicznej. W r. preni³sł się na fakultet inżynierii po specjalnośći "Inźynierija suchoputna", gdzie i zakończył czwarty ostatni ( ) rok akademiczny. Ot do pracował asystentem na katedrze matematyki Politechniki Lw³wskej u profesora A.Lomnickiego . Opublikował szereg prac naukowych.
W r. zdobył stopień doctora filozofiji, a w r. był zatwierdzony w tytule naukowym honorowego profesora katedry matematyki uniwersytetu Lw³wskiego i obrany członkem korespondentem PAN. W r. został zwykłym profesorem. Jeden z tw³rc³w wsp³Å‚czesnej analizy funkcionalnej, razem z G. Shtejngauzem w 1929 r. zorganizował wydanie słynnego czasopisma "Studia mathematica". Badane nim przestrzenie liniejne, kt³re dostali nazwe "przestrzeni Banacha" ; są bardzo ważne dla matematyki wsp³Å‚czesnej. Razem ze swoimi uczńiami - S.Mazurem, W.Orlyczem, W.P.Shauderem - on został jednym z fundator³w (p³Å¼niej - z wyznaniem światowym) Lw³wskiej szkoły matematycznej, w kt³rej opracowano wiekszą cześć analizy funkcionalnej. Sporo wynik³w Banacha zostało klasycznymi i weszło do podręcznik³w i monografij z analizy funkcionalnej. Niekt³re pracy dotyczą teoriji zwykłych r³wnań dyferencjalnych (średńie Banacha), teoriji funkcij zmienniej kompleksnej i in. Gl³wne dziela (take jak

65. The Undergraduate Collection
SERIES AddisonWesley series in computer science and information processingCALL NO. QA76.9.D35 A38 1985. AUTHOR banach, stefan, 1892-1945.
http://www-sul.stanford.edu/depts/mathcs/mathcscoll/UndeColl.html
The Undergraduate Collection
Math Library General Information The Undergraduate Collection was a collection of classical mathematics books covering the history of mathematics, assembled by Professor Halsey L. Royden and Rebecca Lasher Wesley in the late 1980's. Professor Donald E. Knuth recommended additional books in the mathematical and computer sciences. At the time, Prof. Royden felt that all students of mathematics should become familiar with these works before they left Stanford. They are shelved in the book stacks by call number, and may sometimes be identified by a narrow (not round) bright green strip on the book's spine.
AUTHOR: Aho, Alfred V.
TITLE: Compilers, principles, techniques, and tools / Alfred V. Aho, Ravi Sethi, Jeffrey D. Ullman.
IMPRINT: Repr. with corr. Mar. 1988. Reading, Mass. : Addison-Wesley Pub. Co., 1988, c1986
CALL NO.: QA76.76 .C65 A37 1988
AUTHOR: Aho, Alfred V.
TITLE: Data structures and algorithms / Alfred V. Aho, John E. Hopcroft, Jeffrey D. Ullman.
IMPRINT: Repr. with corrections. Reading, Mass. : Addison-Wesley, 1985, c1983.
SERIES: Addison-Wesley series in computer science and information processing
CALL NO.: QA76.9.D35 A38 1985

66. Banach: Message Subjects From 2001
Abstract of a paper by Jesus Araujo and Juan J. Font; A Note on banach Space in Abstractof a paper by stefan Neuwirth; Abstract of a paper by Denny H. Leung and
http://www.math.okstate.edu/~alspach/banach/2001sub.html
Message Subjects from 2001
Messages are in chronological order. Return to the Banach home page.

67. 37-021|NSR|NSR Allgemein|Wer Is Wer?
Translate this page 1908-1991). Aitken-Neville-Schema. B banach, stefan, österreichischerMathematiker (1892-1945). banach-Raum. C Cauchy, Augustin
http://www.wr.inf.ethz.ch/education/nsr/general/who.html
Willkommen Kontakt Vorlesung Inhalt ... NSR im WWW Wer is wer?
Wer is wer?
NSR Celebreties
schreibt eine Mail! (Brent und Neville habe ich leider vergeblich gesucht.) A Aitken, Alexander Craig Aitken-Neville-Schema B Banach, Stefan Banach-Raum C Cauchy, Augustin Louis Cotes, Roger englischer Mathematiker (1682-1716). Newton-Cotes-Quadratur-Formeln (WR) Cramer, Gabriel Cramersche Regel D Dirichlet, Gustav Peter Lejeune E Euler, Leonhard Euler-Maclaurin'schen Summenformel (WR) wichtig. F Frobenius, Ferdinand Georg deutscher Mathematiker (1849-1917). Frobenius-Norm G Galerkin, Boris Grigorievich russischer Mathematiker (1871-1945), Galerkin-Bedingung (WR) Galois, Evariste Gander, Walter Adaptive Quadratur (WR) Gauss, Carl Friedrich Gauss-Algorithmus , die Normalengleichungen , die Gauss-Quadratur (WR) und die Gauss-Seidel-Iteration Givens, Wallace amerikanischer Mathematiker (1911-1993), QR-Zerlegung ( Givens-Rotationen Golub, Gene amerikanischer Mathematiker und Informatiker, hat u.a. den Algorithmus zur Berechnung der gefunden. Gonnet, Gaston H. Gram, Jorgen Pedersen QR-Zerlegung nach Gram-Schmidt (Orthogonalisierungsverfahren) H Hermite, Charles

68. Through A Reporter's Eyes
The Life of stefan banach. Roman Kaluza. The last years; In the eyes of friendsand followers;; Appendix 1; Mathematics in stefan banach's time;;
http://www.maa.org/pubs/books/banach.html
Through a Reporter's Eyes
The Life of Stefan Banach
Roman Kaluza
Translated and edited by Ann Kostant and Wojbor Woyczynski
This book is a well-crafted, fascinating biography of one of the leading mathematicians of the first half of this century. Since the biographer was a reporter rather than a mathematician, the material in the book is accessible and understandable to the majority of readers and talks about the mathematics itself rather than about doing mathematics. This enjoyable and fascinating book is well worth your attention. -The Mathematics Teacher This biography is accessible to anyone with an interest in mathematics, and can be read by teachers as well as students at both the high school and undergraduate level.
Contents
  • Beginnings and premonitions;
  • The "greatest discovery" of Hugo Steinhaus; Lvov and mathematics;
  • Studia Mathematica and Operation Lineaires;
  • The Scottish Cafe; Banach privately and in daily life;
  • The last years; In the eyes of friends and followers;
  • Appendix 1; Mathematics in Stefan Banach's time;
  • Appendix 2: Selected publications of Stefan Banach;

69. ACM Guide: Category Index
K. Computing Milieux browse K. Computing Milieux K.2 HISTORY OF COMPUTING ProperNouns stefan banach Sort by Title Publisher Published Date Author
http://portal.acm.org/ccs.cfm?part=author&coll=portal&dl=ACM&row=K.2&idx=11&idx2

70. ACM Guide: Proper Noun Subject Index
Proper Noun stefan banach. Sort by Title Publisher Published DateAuthor stefan banach 0 -1 of 0 stefan banach 0 - -1 of 0
http://portal.acm.org/nouns.cfm?part=noun&row=S&&idx=Stefan Banach&query=Stefan

71. Portraits Of Statisticians
BAHADUR, Raghu Raj 1923. BAILY, Francis 1744-1844. banach, stefan 1892-1945The Scotch Café in L'viv, Lviv, Lwow, L'vov, Lvov or Lemberg.
http://www.york.ac.uk/depts/maths/histstat/people/
PORTRAITS OF STATISTICIANS
Click here for information about sources
Click here for information about the life and work of statisticans
A B ... Z
Complementary information can be found at http://members.aol.com/jayKplanr/images.htm
  • ABBE, Ernst
  • ADRAIN, Robert
  • AIRY, Sir George Biddell ...
  • ANDERSON, Oskar Nikolayevich 1887-1960 = ANDERSON, Oskar Johann Viktor
  • ANDERSON, Roy Malcolm
  • ANDERSON, Theodore Wilbur
  • ANDERSON, Virgil
  • ANSCOMBE, Frank J ...
  • BOSKOVIC, Rudjer Josip, S.J. 1711-1787 = BOSCOVICH, Ruggiero Giuseppe = BOSCOVICH, Roger Joseph
  • BOWLEY, Sir Arthur Lyon
  • BOX, George Edward Pelham
  • BRADLEY, Ralph A
  • BRAVAIS, Auguste ...
  • CHEBYSHEFF, Pavnutii Lvovich 1821-1894 = TCHEBYCHEFF, Pafnuty Lvovitch = CEBYSEV, Pafnuty Lvovitch
  • CHERNOFF, Herman
  • CHETVERIKOV, Nikolai Sergeevich
  • CHIANG, Chin Long
  • CHUPROV, Alexander Alexandrovich 1874-1926 = TSCHUPROW, Alexander Alexandrovich
  • COCHRAN, William Gemmell
  • CONDORCET, Marquis de 1743-1794 = CARITAT, Marie-Antoine-Jean-Nicolas
  • COURNOT, Antoine Augustine
  • COURTNEY, Leonard Henry, Lord Courtney
  • COX, Sir David (Roxbee)
  • COX, Gertrude Mary ...
  • HUDDE, Jan 1628 or 1629-1769
  • HURST, Harold Edwin
  • 72. .plan
    The following is a delightful extract from Roman Kaluza's biography of stefan banach,who was one of the giants of 20th century mathematics, and my namesake
    http://www.cs.man.ac.uk/~banach/dot.plan/St.Ban.html
    The following is a delightful extract from Roman Kaluza's biography of Stefan Banach, who was one of the giants of 20th century mathematics, and my namesake, but was no relation as far as I know. Bohdan Mis, a Popularizer of mathematics and a journalist to whom Banach's son later made the original Scottish Book available, relates the following perhaps partly apocryphal but revealing story, which became in Poland a part of the Scottish Cafe legend: ... Von Neumann (1903-1957), an American mathematician of Hungarian descent, called by some "the Gauss of the 20th Century," visited Poland three times between the wars. Each time, on personal instructions from Norbert Wiener, father of cybernetics, he tried to talk Stefan Banach into emigrating to the United States; his last visit to Lvov took place in 1937. Responding to the latest job offer Banach asked: "And how much is Professor Wiener willing to pay?" "We anticipated this question," responded the confident American reaching into his pocket; "here is a check signed by Professor Wiener on which he entered only the numeral 1. Please add to it as many zeros as you deem fit!" Banach contemplated the offer for a moment and responded: "This sum is too small to leave Poland." And he stayed, as the clouds of war were beginning to gather over Europe. Even at the last moment before the war, when Ulam proposed an escape plan, the scientist refused to leave. That hard, coldly calculating man was a great Polish patriot, and he felt a greater attachment to Poland than anything else....

    73. Centres With Representation In ERCOM
    Name stefan banach International Mathematical Center Acronym BC Scientific DirectorBogdan Bojarski. Address ul. Sniadeckich 8 P00-950 Warsaw Poland.
    http://www.maphysto.dk/ERCOM/members.html
    Centres with representation in ERCOM
    - as approved by the EMS Executive Committee's Barcelona meeting in April 1999
    (in alphabetical order after acronym) Description Web-site Stefan Banach International Mathematical Center www.impan.gov.pl/BC/ Centro Internacional de Matemática www.cim.pt/ ... www.stieltjes.org Committee members may see a list with slightly more information Name: Stefan Banach International Mathematical Center
    Acronym: BC
    Scientific Director: Bogdan Bojarski
    Address:
    ul. Sniadeckich 8
    P-00-950 Warsaw
    Poland Telephone: (48-22) 628-0192
    Fax: (48-22) 622-5750
    WWW: http://www.impan.gov.pl/BC/
    Email: office@banach.impan.gov.pl
    Description: The Stefan Banach International Mathematical Center was founded in 1972, then as a result of cooperation among Central/Eastern European countries. After the changes in the end of '80, the status of the Center changed too. The Center organizes semesters, conferences, workshops, schools devoted to various areas of mathematics. Scientific staff: All are external, not paid by the BC. Administrative staff: 1+1/2 Library: Excellent library of the Institute of Mathematics of the Polish Academy of Sciences.

    74. Biography.com
    Bambaataa, 1958 . Bampton, Rose, 1908 . Ban Chao, 32 102. Ban Gu, 32 92. banach, stefan, 1892 1945. Bancroft, Anne, 1931 . Bancroft, Edward, 1744 1821.
    http://search.biography.com/bio_browse.pl?letter=B&num=200

    75. Banach Center Publications
    banach Center Publications publishes proceedings of selected conferences andsemesters held at the International stefan banach Mathematical Center.
    http://journals.impan.gov.pl/BC/info.html
    BANACH CENTER PUBLICATIONS ISSN: 0137-6934 Banach Center Publications publishes proceedings of selected conferences and semesters held at the International Stefan Banach Mathematical Center . Each volume has ts particular editors, in general from among the organizers of the given conference or semester.
    EDITORS Piotr Biler
    biler@math.uni.wroc.pl

    Stefan Jackowski
    sjack@mimuw.edu.pl

    Jerzy Kaczorowski
    kjerzy@math.amu.edu.pl

    Łukasz Stettner
    stettner@impan.gov.pl

    76. Polish Consulate In Sheffield
    stefan banach 18921945 Mathematician. Born in Krakow, stefan banachstudied mathematics at the Jagiellonian University there. Lecturing
    http://www.shef.ac.uk/uni/projects/pc/page31.html
    Stefan Banach 1892-1945
    Mathematician
    Born in Krakow, Stefan Banach studied mathematics at the Jagiellonian University there. Lecturing in the Institute of Technology and then the University of Lvov, he became professor of Mathematics at the University of Lvov in 1927.
    Banach founded modern functional analysis and made major contributions to the theory of topological vector spaces. His dissertation of 1920 defined axiomatically what is today called a Banach space. are also his work.
    A Banach space is a real or complex normed vector space that is complete as a metric space under the metric d(x, y) = llx-yll induced by the norm. The completeness is important as this means that Cauchy sequences in Banach spaces converge.
    Many important theorems are named after Banach. There is the Hahan-Banach theorem, Banach-Steinhaus theorem, the Banach-Alaoglu theorem, the Banach fixed-point theorem and the Banach-Tarski paradoxical decomposition of a ball. His most important work is the Theorie des operations lineaires of 1932.

    77. Mathematicians During The Third Reich And World War II
    Died banach, stefan In Lvov good terms with Russian occupation troops1939. Returned from Kiev to Lvov after German invasion of Russia.
    http://wwwzenger.informatik.tu-muenchen.de/persons/huckle/mathwar.html
    Mathematicians during the Third Reich and World War II
    Prof. Thomas Huckle
    huckle@in.tum.de
    Last modified: February/25/2002
    Died

    Imprisoned

    Hidden

    Emigration
    ...
    General Information

    Died:
    Banach, Stefan:

    In Lvov good terms with Russian occupation troops 1939. Returned from Kiev to Lvov after German invasion of Russia. Worked feeding lice in German institute dealing with infectious diseases, until July 1944 when Russain troops retook Lvov. Was already seriuosly ill, died 1945 of lung cancer. Berwald, Ludwig: Dismissed 1939 in Prague; Deportation by Gestapo to Lodz where he died in April 1942. Blumenthal, Otto: dismissed 1939 from Aachen and - for a short while - kept in "protective custody". In 1939 he went to Holland. When the Netherlands had fallen, he refused the help of Dutch friends and was deported to Theresienstadt where he died 1944. Dickstein, Samuel: Died in the Nazi bombing of Warsaw in 1939. Epstein, Paul: Frankfurt 1919 until 1935, suicide after summon from Gestapo August 1939. Froehlich, Walter:

    78. Hollis: Differential Equations
    Abel, Niels Henrik Airy, George banach, stefan Bendixson, Ivar Bernoulli, DanielBernoulli, Jacob Bernoulli, Johann Bessel, Wilhelm Borda, Jean Cauchy
    http://www.math.armstrong.edu/faculty/hollis/dewbvp/
    Differential Equations
    with Boundary Value Problems by Selwyn Hollis
    Contents and Preface
    Marketing Blurb Book Site @ Prentice Hall ... Solutions Manual Technology Mathematica Maple Java M ... ATLAB Sundry Items Problem graphics and extra graphical problems for Section 3.1.
    Please send bug reports here
    Professors: Please send me an email
    Some Biographical References
    The following are links to information on most of the mathematicians/scientists whose names appear in the book. Unless otherwise noted, each of these is a link to the MacTutor History of Mathematics Archive at the University of St Andrews, Scotland.
    Abel, Niels Henrik

    Airy, George

    Banach, Stefan

    Bendixson, Ivar
    ... Edelstein-Keshet, Leah (U. BC) Euler, Leonhard Fourier, Joseph Frobenius, Georg Gauss, Carl Friedrich ... Hertz, Heinrich Rudolf (Google search) Hodgkin, Alan Nature Hooke, Robert Huxley, Andrew (sfn.org) Jacobi, Carl Jordan, Camille Kirchhoff, Gustav Kutta, Martin Wilhelm ... Lorenz, Edward N. (xrefer.com) Lotka, Alfred (Google search) Lyapunov, Aleksandr Maclaurin, Colin Malthus, Thomas (Google search) Menten, Maud

    79. B Index
    contraction mapping theorem,; banach limit,; banach space,; banach, stefan,;banachAlaoglu theorem,; banach-Steinhaus theorem,; banach-Tarski
    http://www.mathresources.com/products/mathresource/demo/indices/index_b.htm
    B Vocabulary Index
  • B,
  • B*-algebra,
  • Babbage's engine,
  • backward difference,
  • backward error analysis,
  • backward induction,
  • Baire category,
  • Baire category theorem,
  • Baire set,
  • Baire space,
  • baker's transformation,
  • balanced,
  • balanced block design,
  • ball,
  • Banach algebra,
  • Banach contraction mapping theorem,
  • Banach limit,
  • Banach space,
  • Banach, Stefan,
  • Banach-Alaoglu theorem,
  • Banach-Steinhaus theorem,
  • Banach-Tarski theorem,
  • bang-bang principle,
  • bar,
  • bar chart,
  • bar induction,
  • Barcan formula,
  • barrel,
  • barrelled,
  • barrier function,
  • barycenter,
  • barycentric coordinates,
  • base,
  • base clause,
  • base field,
  • base period,
  • basic feasible solution,
  • basic variables,
  • basis,
  • basis theorem,
  • Bayes's theorem,
  • Bayesian,
  • bcd,
  • Begriffsschrift
  • behavioural variable,
  • bell-shaped curve,
  • Bellman's principle of optimality,
  • below,
  • bending moment,
  • Bernoulli equation,
  • Bernoulli number,
  • Bernoulli trial,
  • Bernoulli's theorem,
  • Bernoulli, Jakob,
  • Bernstein polynomials,
  • Bernstein's theorem,
  • Berry's paradox,
  • Bertrand's postulate,
  • Bessel function,
  • Bessel's equation
  • 80. Wspomnienia Ze Lwowa
    Wtedy jedna z nielicznych pewnych dla nas wiadomosci byla ta, ze jednym z jejtworcow byl genialny polski matematyk stefan banach. stefan banach.
    http://www.lwow.com.pl/m.htm

    Bedac tam spojrzmy na sasiedni - z lewej strony stojacy - grobowiec Riedlow i zlozmy i tam symboliczny kwiat temu wybitnemu Polakowi, znanemu wsrod matematycznej braci calego swiata, tworcy znanej w swiecie Lwowskiej Szkoly Matematycznej.
    Stefan Banach
    Informacje podane nizej zaczerpnalem z ksiazki innego wybitnego polskiego matematyka, Kazimierza Kuratowskiego "50 lat matematyki polskiej 1920-1970" wydanej w serii Omega w 1973 roku Stefan Banach urodzil sie 30 marca 1892 roku w Krakowie. Blizszych szczegolow o jego rodzicach brak.. Wiadomo jedynie, ze pochodzil z rodziny goralskiej i ze dziecinstwo mial bardzo ciezkie. Juz od pietnastego roku zycia Banach musial utrzymywac sie z korepetycji.
    Poczatkowo studiowal matematyke jako samouk. Przez krotki czas uczeszczal na Uniwersytet Jagiellonski, a nastepnie wstapil na Politechnike Lwowska. Studia na Politechnice przerwal wybuch I wojny swiatowej. Banach wrocil do Krakowa. Nie przestal interesowac sie matematyka, nie odbywal jednak w tym czasie regularnych studiow; poznawal matematyke z ksiazek i z rozmow z matematykami O. Nikodymem i W, Wilkoszem (pozniejszymi profesorami).
    A oto jak opisuje Steinhaus swe pierwsze spotkanie z Banachem; "Idac letnim wieczorem r. 1916 wzdluz plant krakowskich, uslyszalem rozmowe, a raczej tylko kilka slow; wyrazy "calka Lebesgue'a" byly tak nieoczekiwane, ze zblizylem sie do lawki i zapoznalem sie z dyskutantami; to Stefan Banach i Otton Nikodym rozmawiali o matematyce".

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