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         Toeplitz Otto:     more detail
  1. The Enjoyment of Math by Hans Rademacher, Otto Toeplitz, 1966-11-01
  2. The Calculus: A Genetic Approach by Otto Toeplitz, 2007-06-01
  3. Von Zahlen und Figuren: Proben mathematischen Denkens für Liebhaber der Mathematik (Heidelberger Taschenbücher) (German Edition) by Hans Rademacher, Otto Toeplitz, 1968-12-01
  4. Fachdidaktiker (Mathematik): Nicolas Bourbaki, Felix Klein, Bernt Michael Holmboe, Alexander Witting, Otto Toeplitz, Walther Lietzmann (German Edition)
  5. The Enjoyment of Mathematics-Selections From Mathematics for the Amateur by Hans Rademacher, Otto Toeplitz, 1964
  6. The Calculus: A Genetic Approach by Otto Toeplitz, 2009-01-01
  7. Calculus (Phoenix Science) by Otto Toeplitz, 1963-12
  8. The Enjoyment of Mathematics: Selections from Mathematics for the Amateur (Dover Books on Mathematical and Word Recreations) by Hans Rademacher; Otto Toeplitz, 1970
  9. Die Entwicklung der Infintesimalrechnung. by Otto Toeplitz, 1949

41. Historia Matematica Mailing List Archive: Re: [HM] Otto Toeplitz (was: Genetic M
Heinrich Behnke und Gottfried Koethe, otto toeplitz zum Ged achtnis. Jahresber . Hilbert Karl Hilbert), but otto toeplitz is not listed among his Ph.D.
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/oct99/0136.html
Re: [HM] Otto Toeplitz (was: genetic method)
Prof. Lueneburg luene@mathematik.uni-kl.de
Sat, 23 Oct 1999 12:29:59 +0200 (MESZ)
So far I found the following: Toeplitz got his PhD in Breslau. His thesis:
Ueber Systeme von Formen, deren Funktionaldeterminante identisch verschwindet.
Breslau 1905
His teachers were Rosano and Sturm. My source does not give initials. Having
obtained his PhD, he went to Goettingen to continue his studies. There he met
Hilbert.
The source:
Heinrich Behnke und Gottfried Koethe, Otto Toeplitz zum Ged"achtnis. Jahresber.
DMV 66, 1-16, 1963

42. Historia Matematica Mailing List Archive: [HM] Otto Toeplitz (was: Genetic Metho
Hilbert Karl Hilbert), but otto toeplitz is not listed among his Ph.D. students . (The genealogy database doesn t contain otto toeplitz)
http://sunsite.utk.edu/math_archives/.http/hypermail/historia/oct99/0133.html
[HM] Otto Toeplitz (was: genetic method)
Antreas P. Hatzipolakis xpolakis@otenet.gr
Fri, 22 Oct 1999 20:40:23 +0300 (EET DST)
Bernd Buldt wrote (among other interesting things):
Dear Bernd,
One of the best mathematics online projects related to history of
mathematics is the "Mathematics Genealogy Project" located at:
http://Hcoonce.Math.Mankato.MSUS.edu/index.htm

I checked Hilbert's genealogy (note that there was another mathematician
Hilbert: Karl Hilbert), but Otto Toeplitz is not listed among his Ph.D.
students. But this doesn't necessarily mean that he was not.
(The genealogy database doesn't contain Otto Toeplitz)
So my question is: Who was Toeplitz's advisor, and which was his Thesis? Antreas

43. Guericke, Otto Von --  Encyclopædia Britannica
Guericke, otto von German physicist, engineer, and natural philosopher who inventedthe first air pump and used otto toeplitz University of St.Andrews
http://www.britannica.com/eb/article-9038368
Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Otto von Guericke Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Guericke, Otto von
 Encyclopædia Britannica Article Page 1 of 1
Otto von Guericke
born Nov. 20, 1602, Magdeburg, Prussian Saxony [now in Germany]
died May 11, 1686, Hamburg
Guericke, engraving by C. Galle, 1649, after a portrait by Anselmus von Hulle
German physicist, engineer, and natural philosopher who invented the first air pump and used it to study the phenomenon of vacuum and the role of air in combustion and respiration.
Guericke, Otto von...

44. Warburg, Otto --  Encyclopædia Britannica
Warburg, otto German biochemist awarded the Nobel Prize for Physiology or Medicinein 1931 for his research on otto toeplitz University of St.Andrews
http://www.britannica.com/eb/article?tocId=9076088

45. Guide To The Hans Epstein Collection 1920-1960 AR 6362
1, I.13, otto toeplitz, 19341938. 1, I.14, Travel log of a trip to theMediterranean (probably by S. Epstein), April 1928
http://www.cjh.org/academic/findingaids/lbi/nhprc/HansEpstein02.html
finding aid navigation
Descriptive Summary Biographical Note Scope and Content Note Arrangement ... Access Points
container list
Series I: Personal Documents and Correspondence, undated, 1905-1985 Series II: Employment Related Documents and Correspondence, undated, 1930-1967, 1998-1999 Series III: The Anlernwerkstatt, undated, 1963-1976 Series IV: Published and Unpublished Writings, undated, 1924-1964 ... Series V: The Philanthropin, 1933-1934, 1964
Guide to the Hans Epstein Collection
AR 6362
Processed by Sam Spinner
Leo Baeck Institute
Center for Jewish History
15 West 16th Street
New York, NY 10011
Phone: (212) 744-6400
Fax: (212) 988-1305
lbaeck@lbi.cjh.org
http://www.lbi.org
Center for Jewish History, Publisher Machine-readable finding aid created by Sam Spinner. July 2000. Finding aid converted to EAD version 1.0 by Inna Giter. July 2001. Description is in English. September 2004. Converted to ead 2002. Revised as HansEpstein02.xml by Dianne Ritchey Oummia. Removed deprecated elements and attributes, updated repository codes, added language codes, changed doctype declaration, etc.

46. Lexikon Otto Toeplitz
otto toeplitz aus der freien EnzyklopädieWikipedia und steht unter der GNU Lizenz. Die Liste der Autoren ist unter
http://lexikon.freenet.de/Otto_Toeplitz

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Sie sind hier: Startseite Lexikon Otto Toeplitz
Otto Toeplitz
Otto Toeplitz 1. August in Breslau 15. Februar in Jerusalem ) war ein deutscher Professor der Mathematik j¼discher Abstammung. Toeplitz stammte aus einer j¼dischen Familie, die mehrere Lehrer der Mathematik hervorgebracht hatte. Sowohl sein Vater, Emil Toeplitz, als auch sein GroŸvater, Julius Toeplitz, unterrichteten Mathematik in einem Gymnasium. Otto wuchs in Breslau auf und nach Abschluss der h¶heren Schule begann er sein Studium der Mathematik. Nach der Graduierung setzte er seine Studien der Algebraischen Geometrie fort und wurde er habilitiert.

47. Textbooks
toeplitz, otto (18811940). The calculus; a genetic approach. Translated by LuiseLange. University of Chicago Press 1963 192 p. illus. 25 cm.
http://www.dean.usma.edu/math/people/rickey/hm/mini/books.html
I. 6 Textbooks For Other Types of Courses
The following are some possible textbooks for a history of mathematics course which is not intended as a survey course. This list is necessarily incomplete, for a great variety of courses are conceivable. This list will be augmented with book reviews when time permits. It will also be updated from time to time. Ascher, Marcia. Ethnomathematics: A Multicultural View of Mathematical Ideas , Belmont, CA: Brooks-Cole, 1991. Reviewed by Judith V. Grabiner, American Mathematical Monthly Bell, Eric Temple, 1883-1960. Men of mathematics . New York, Simon and Schuster [1937] xvii, 590 p., l . diagrs. Berggren, J. L. Episodes in the mathematics of medieval Islam . New York : Springer-Verlag, c1986. xiv, 197 p. : ill. ; 24 cm. Bunt, Lucas N. H. (Lucas Nicolaas Hendrik), Phillip S. Jones, and Jack D. Bedient. The historical roots of elementary mathematics . Englewood Cliffs, N.J. : Prentice-Hall, c1976. xii, 299 p. : ill. ; 24 cm. Cooney, Miriam P.

48. BOOKS ON THE HISTORY OF MATHEMATICS
toeplitz, otto 1963a The Calculus. A Genetic Approach, University of Chicago Press.Tweedie, Charles 1922a James Stirling. A Sketch of his Life and Works
http://www.dean.usma.edu/math/people/rickey/hm/bemidji/book-display.htm
THE 2001 MAA NORTH CENTRAL
SECTION SUMMER SEMINAR BOOKS ON THE HISTORY OF MATHEMATICS
For this summer seminar, it would be very nice if we had a collection of books to consult. I really don't want to bring several boxes of books with me, so if you can find some of the things on the list below in your library, please bring it along. To avoid lots of copies of the same things, let's coordinate what you will bring by sending Ivy Knoshoag at iknoshaug@bemidjistate.edu . Those items marked by a bold dot are available at Bemidji State University so there is no reason to bring along copies of them. You need not feel restricted to this list. Bring something interesting of a historical nature - the more variety the merrier. The following books deal with some aspect of the history of mathematics, with a heavy concentration on the history of the calculus. Only a few, Baron 1969a, Boyer 1959a, Edwards1979a, Grattan-Guinness 1980, and Toepliz 1963a deal with large portions of the history of calculus. The others concentrate on an individual, a period, or a concept.

49. List Of Scientists By Field
toeplitz, otto. Tolman, Richard Chace. Tolman, Richard Chace. Tolman, Richard Chace.Tomonaga, SinItiro. Torre, Marcantonio della. Torre, Marcantonio della
http://www.indiana.edu/~newdsb/t.html
Tabor, John Tacchini, Pietro Taccola, Mariano di Jacomo Tachenius, Otto Tachenius, Otto Tacquet, Andreas Tait, Peter Guthrie Tait, Peter Guthrie Takagi, Teiji Talbot, William Henry Fox Talbot, William Henry Fox Tamm, Igor Evgenievich Tammann, Gustav Heinrich Johann Apollon Tanakadate, Aikitsu Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tannery, Jules Tannery, Paul Tarde, Jean Tarde, Jean Targioni Tozzetti, Giovanni Tarski, Alfred Tashiro, Shiro Tashiro, Shiro Tauber, Alfred Taurinus, Franz Adolph Taylor, Brook Taylor, Charles Vincent Taylor, Frank Bursley Taylor, Frederick Winslow Taylor, Geoffrey Ingram Taylor, Geoffrey Ingram Taylor, Hugh Stott Teall, Jethro Justinian Harris Teichmann, Ludwik Karol Teichmann, Ludwik Karol Teilhard de Chardin, Pierre Teilhard de Chardin, Pierre Teissier, Georges Telesio, Bernardino Ten Rhyne, Willem Ten Rhyne, Willem Tennant, Smithson Tennent, David Hilt Termier, Pierre Tesla, Nikola Tesla, Nikola Thales Thaxter, Roland Thayer, William Sydney Theaetetus Themistius Themistius Thenard, Louis Jacques

50. SISC Volume 17 Issue 1
Analysis of Semitoeplitz Preconditioners for First-Order PDE s. Lina Hemmingsson,Kurt otto. Abstract. A semi-toeplitz preconditioner for nonsymmetric,
http://locus.siam.org/SISC/volume-17/art_0917005.html
SIAM's Online Journal Archive
SEEK EXPLORE LOCATE SISC volume 17 issue 1 advanced search By using LOCUS you agree to abide by the
Terms and Conditions of Use
SISC, Volume 17 Issue 1
Analysis of Semi-Toeplitz Preconditioners for First-Order PDE s
Lina Hemmingsson, Kurt Otto
Abstract. A semi-Toeplitz preconditioner for nonsymmetric, nondiagonally dominant systems of equations is studied. The preconditioner solve is based on a fast modified sine transform. As a model problem we study a system of equations arising from an implicit time discretization of a scalar hyperbolic partial differential equation (PDE). Analytical formulas for the eigenvalues and the eigenvectors of the preconditioned system are derived. The convergence of a minimal residual iteration is shown to depend only on the spatial grid ratio and not on the number of unknowns. Keywords. first-order PDE, finite difference discretization, preconditioner, spectral analysis, convergence AMS(MOS) Subject Classifications.

51. Von Zahlen Und Figuren (Rademacher)-Springer Zahlentheorie Buch
Translate this page Rademacher, Hans, toeplitz, otto Reprint der 2. Aufl. Julius Springer, Berlin,1933., 2001, XII, 174 S. 129 illus., Geb. ISBN 3-540-63303-0
http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-40011-22-1552777-0,00.
Diese Website ist optimiert f¼r die Benutzung mit Java Script. Weitere Fachgebiete Algebra Analysis Angewandte Mathematik Mathematische Biologie Mathematische Physik Quantitative Finanzmathematik Wahrscheinlichkeitstheorie Home Mathematik
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52. OTTO NEURATH
Philosophy and CAMBRIDGE UNIVERSITY PRESS and otto NEURATH. ENJOYMENT OFMATHEMATICS RADEMACHER, HANS toeplitz, otto TOPELITZ, otto
http://book.zarr.co.uk/Philosophy/CAMBRIDGE-UNIVERSITY-PRESS/0521451744.php

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53. The Mathematician's Quest For Superlatives Part I
THE CALCULUS by otto toeplitz, AN INTRODUCTION TO THE CALCULUS OF VARIATIONby Charles Fox, MATHEMATICAL THOUGHT FROM ANCIENT TO MODERN TIMES by Morris
http://www.faculty.fairfield.edu/jmac/ther/superlatives.htm
The Mathematician's Quest for Superlatives
from geometrical and caculus considerations
by Joseph MacDonnell, S.J.
The honeycomb is a study in efficiency
Introduction: The art of optimization
The mathematician's pursuit of extremes in his the persistent search to find the most honey using the smallest comb, the greatest profit for least expense, the greatest volume for least area, the greatest area for least perimeter, the most efficient universe, the smallest surface, the strongest beam, the least resistance, the shortest distance, the greatest capacity, the best estimate, the most useful shape, the comeliest form.
Why are soap bubbles always spherical?
The shortest distance between two points in a plane and on a sphere, a circle enclosing the largest area, and a sphere enclosing the largest volume were all known to the Greeks, even though the results were often stated without a real attempt at a proof. Another Greek discoveries, ascribed to Heron of the first century AD concerned a light ray taking the shortest path from point P to a mirror and back to point Q. This discovery that can be considered the germ of the theory of geometrical optics.
If one considers an arbitrary closed curve in the plane of a fixed perimeter, it is the circle that encloses the largest area. The ancient Greeks were aware of this, and many civilizations since then have intuitively used the shape of a circle, when they built their round cities, homes and castles. "Isoperimetrics", which examines the largest area surrounded by a fixed perimeter perhaps started with the "Dido problem". It is told of Dido, sister of Pygmalion and the daughter of King Mutton of Tyre in Phoenicia around the eighth century BC fled to the northern tip of Africa. There she purchased "as much land as she could surround with the hide of an ox." Dido cut the hide into a long string and then chose the shape of a semicircle as the largest area she could acquire (one border was on the Mediterranean Sea), and this settlement later became the thriving city of Carthage.

54. Basic Library List-General
Rademacher, Hans and toeplitz, otto. The Enjoyment of Mathematics Princeton, NJPrinceton University Press, 1957. ** Rademacher, Hans.
http://www.maa.org/BLL/general.htm
GENERAL
Back to Table of Contents
General: General Anthologies
** Aleksandrov, A.D.; Kolmogorov, Andrei N.; and Lavrent'ev, M.A., eds. Mathematics: Its Content, Methods, and Meaning, Cambridge, MA: MIT Press, 1969. 3 Vols. Behnke, H., et al., eds. Fundamentals of Mathematics, Cambridge, MA: MIT Press, 1974, 1983. 3 Vols. * Boehm, George A.W. The Mathematical Sciences: A Collection of Essays Cambridge, MA: MIT Press, 1969. Campbell, Douglas M. and Higgins, John C., eds. Mathematics: People, Problems, Results, Belmont, CA: Wadsworth, 1984. 3~Vols. Kapur, J.N. Fascinating World of Mathematical Sciences, New Delhi: Mathematical Sciences Trust Society, 1989. 3 Vols. Le Lionnais, F., ed. Great Currents of Mathematical Thought, Mineola, NY: Dover, 1971. 2 Vols. *** Newman, James R. The World of Mathematics, Redmond, WA: Microsoft Press, 1988. 4 Vols. Saaty, Thomas L. and Weyl, F. Joachim, eds. The Spirit and the Uses of the Mathematical Sciences New York, NY: McGraw-Hill, 1969. * Scientific American. Mathematics in the Modern World New York, NY: W.H. Freeman, 1968.

55. Basic Library List-Calculus & Precalculus
Version A Calculus Primer Providence, RI Janson, 1989. ** toeplitz, otto.Calculus A Genetic Approach Chicago, IL University of Chicago Press, 1963.
http://www.maa.org/BLL/calculus.htm
Calculus and Precalculus
Back to Table of Contents
Calculus and Precalculus: School Mathematics
Allendoerfer, C.B. and Oakley, C.O. Principles of Mathematics New York, NY: McGraw-Hill, 1963. Auslander, Louis. What Are Numbers? Glenview, IL: Scott Foresman, 1969. * Martin, Edward, ed. Elements of Mathematics, Book B: Problem Book St.~Louis, MO: CEMREL-CSMP, 1975. * Rising, Gerald R., ed. Unified Mathematics, Boston, MA: Houghton Mifflin, 1981. 3 Vols. Seymour, Dale. Visual Patterns in Pascal's Triangle Palo Alto, CA: Dale Seymour, 1986. Webber, G. and Brown, J. Basic Concepts of Mathematics Reading, MA: Addison-Wesley, 1963.
Calculus and Precalculus: Precalculus
Allendoerfer, C.B. and Oakley, C.O. Fundamentals of Freshman Mathematics, New York, NY: McGraw-Hill, 1965. Second Edition. Ayre, H.G.; Stephens, R.; and Mock, G.D. Analytic Geometry: Two and Three Dimensions, New York, NY: Van Nostrand Reinhold, 1967. Second Edition. Cohen, David. Precalculus, St.~Paul, MN: West, 1984, 1989. Third Edition. Coxford, Arthur F. and Payne, Joseph N.

56. How Many Regular Polyhedrons Are There In This Or Any Universe?
Rademacher, Hans, and toeplitz, otto. The Enjoyment of Mathematics. Princeton NJPrinceton University Press, 1970. Wenninger, Magnus, Polyhedron Models
http://www.iit.edu/~smile/ma8606.html
How Many Regular Polyhedrons Are There In This or Any Universe? Lawrence E Freeman Kenwood Academy 5015 Blackstone Avenue Chicago, IL 60615 1-312-536-8850 (school main) Background Return to Mathematics Index

57. Zeno S Paradox Of Plurality And Proof By Contradiction Stephen
toeplitz, otto. The Calculus A Genetic Approach. Translated by Luise Lange.Chicago University of Chicago Press, 1963. Vlastos, Gregory. Zeno of Elea.
http://cs.wwc.edu/~aabyan/CII/TEMP/Zeno2.html
Zeno's Paradox of Plurality and Proof by Contradiction
Stephen Campbell
Department of Education
University of CaliforniaIrvine
It is all one to me where I begin, for I will return there again in timeParmenides
Zeno's paradoxes have been a source of inspiration and bewilderment for almost two and a half thousand years. Indeed, Aristotle considered Zeno of Elea (c. 450 B.C.E.) the father of dialectic, a form of reasoning that does not seem to be unrelated to the logical forms of reasoning underlying mathematical proof. Of all Zeno's paradoxes, the most renown, or at least the most familiar, are his paradoxes of motion. Much lesser known are Zeno's paradoxes of plurality. According to Proclus, Zeno composed as many as forty of these paradoxes, all but three of which have been lost. Here I will be concerned with what has come to be known as Zeno's second paradox of plurality:
    If there are many, it is necessary that they be as many as they are, neither more nor fewer. But if they are as many as they are, they must be finitely many.
    If there are many, the existents must be infinitely many. For there are always other existents between existents, and again others between these. And thus the existents are infinitely many. (adapted from Vlastos, p. 371)

58. CV For Kurt Otto
L. HEMMINGSSON AND K. otto, Analysis of semitoeplitz preconditioners forfirst-order PDEs , SIAM J. Sci. Comput., 17 (1996), pp. 47-64.
http://user.it.uu.se/~kurt/
Name: Kurt Otto
Date of birth: September 19, 1962
Degrees
  • M.Sc. in Engineering Physics, specialization in Scientific Computing, Uppsala University, August 1989.
  • Ph.D. in Numerical Analysis, Uppsala University, May 1993.
  • Docent in Numerical Analysis, Uppsala University, June 1998.
  • Laborator in Computational Wave Propagation, Swedish Defence Research Agency, May 2002.
  • Adj. Professor in Scientific Computing, Uppsala University, June 2004.
Publications
Refereed
  • K. O TTO Construction and Analysis of Preconditioners for First-order PDE , Ph.D. thesis, Dept. of Scientific Computing, Uppsala Univ., Uppsala, Sweden, 1993.
  • K. O TTO AND M. T Stability of a Runge-Kutta method for the Euler equations on a substructured domain , SIAM J. Sci. Statist. Comput., 10 (1989), pp. 154-174.
  • S. H OLMGREN AND K. O TTO Iterative solution methods and preconditioners for block-tridiagonal systems of equations , SIAM J. Matrix Anal. Appl., 13 (1992), pp. 863-886.
  • S. H OLMGREN AND K. O TTO Semicirculant preconditioners for first-order partial differential equations , SIAM J. Sci. Comput., 15 (1994), pp. 385-407.
  • K. O
  • 59. Otto Szasz
    otto Szász was born in Alsoszucs, Hungary to a farm family and was educated at the toeplitz and Herglotz and physics lectures by Voigt and Prandtl.
    http://www.bgsu.edu/departments/math/Ohio-section/bicen/szasz.html

    "He had a career of some twenty years in America, where he ultimately received recognition more appropriate to his really very considerable talents than he found in Germany" American Journal of Mathematics
    REFERENCES
    [DL] H.D. Lipsich (Ed.), , University of Cincinnati, 1955. [NW] N. Wiener, I am a Mathematician , MIT Press, Cambridge, 1956. Bulletin of the American Mathematical Society Article by Charles Groetsch
    University of Cincinnati

    60. © 1998-2004 Sommerfeld-Projekt. Ausgelesen Am 07. März 2004
    Translate this page Arnold Sommerfeld an otto toeplitz, 18. Februar 1925 Archiv München, DM (ArchivNL 89, 030, Mappe Gutachten). AS diskutiert kritisch die Vorschläge von
    http://www.lrz-muenchen.de/~Sommerfeld/KurzFass/05901.html
    Arnold Sommerfeld an Otto Toeplitz, 18. Februar 1925
    Archiv: (Archiv NL 89, 030, Mappe Gutachten) Transkription nicht vorhanden Weitere Informationen Start Biographie Projekt ... Online-Suche

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