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Who gave you the epsilon? and other tales of mathematical history /

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Korporativní autor: ebrary, Inc
Další autoři: Anderson, Marlow, 1950-, Katz, Victor J., Wilson, Robin J.
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Washington, D.C. : Mathematical Association of America, c2009.
Edice:MAA spectrum.
Témata:
Mathematics > History.
Electronic books.
On-line přístup:An electronic book accessible through the World Wide Web; click to view
Tagy: Přidat tag
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Obsah:
  • [Pt. 1.] Analysis
  • Who gave you the epsilon? : Cauchy and the origins of rigorous calculus / Judith V. Grabiner
  • Evolution of the function concept : a brief survey / Israel Kleiner
  • S. Kovalevsky : a mathematical lesson / Karen D. Rappaport
  • Highlights in the history of spectral theory / L.A. Steen
  • Alan Turing and the central limit theorem / S.L. Zabell
  • Why did George Green write his essay of 1828 on electricity and magnetism? / I. Grattan-Guinness
  • Connectivity and smoke-rings : Green's second identity in its first fifty years / Thomas Archibald
  • The history of Stokes' theorem / Victor J. Katz
  • The mathematical collaboration of M.L. Cartwright and J.E. Littlewood / Shawnee L. McMurran and James J. Tattersall
  • Dr. David Harold Blackwell, African American pioneer / Nkechi Agwu, Luella Smith and Aissatou Barry
  • [pt. 2.] Geometry, topology and foundations
  • Gauss and the non-Euclidean geometry / George Bruce Halsted
  • History of the parallel postulate / Florence P. Lewis
  • The rise and fall of projective geometry / J.L. Coolidge
  • Notes on the history of geometrical ideas / Dan Pedoe
  • A note on the history of the Cantor set and Cantor function / Julian F. Fleron
  • Evolution of the topological concept of "connected" / R.L. Wilder
  • A brief, subjective history of homology and homotopy theory in this century / Peter Hilton
  • The origins of modern axiomatics : Pasch to Peano / H.C. Kennedy
  • C.S. Pierce's philosophy of infinite sets / Joseph W. Dauben
  • On the development of logics between the two world wars / I. Grattan-Guinness
  • Dedekind's theorem : [square root of 2] x [square root of 3] = [square root of 6] / David Fowler
  • [pt. 3.] Algebra and number theory
  • Hamilton's discovery of quaternions / B.L. van der Waerden
  • Hamilton, Rodrigues, and the quaternion scandal / Simon L. Altmann
  • Building an international reputation : the case of J.J. Sylvester (1814-1897) / Karen Hunger Parshall and Eugene Seneta
  • The foundation period in the history of group theory / Josephine E. Burns
  • The evolution of group theory : a brief survey / Israel Kleiner
  • The search for finite simple groups / Joseph A. Gallian
  • Genius and biographers : the fictionalization of Evariste Galois / Tony Rothman
  • Hermann Grassmann and the creation of linear algebra / Desmond Fearnley-Sander
  • The roots of commutative algebra in algebraic number theory / Israel Kleiner
  • Eisenstein's misunderstood geometric proof of the quadratic reciprocity theorem / Reinhard C. Laubenbacher and David J. Pengelley
  • Waring's problem / Charles Small
  • A history of the prime number theorem / L.J. Goldstein
  • A hundred years of prime numbers / Paul T. Bateman and Harold G. Diamond
  • The Indian mathematician Ramanujan / G.H. Hardy
  • Emmy Noether / Clark H. Kimberling
  • "A marvelous proof" / Fernando Q. Gouvêa
  • [pt. 4.] Surveys
  • The International Congress of Mathematicians / George Bruce Halsted
  • A popular account of some new fields of thought in mathematics / G.A. Miller
  • A half-century of mathematics / Hermann Weyl
  • Mathematics at the turn of the millennium / Philip A. Griffiths.

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