Who gave you the epsilon? : and other tales of mathematical history [E-Book] / edited by Marlow Anderson, Victor Katz, Robin Wilson.
Anderson, Marlow
Katz, Victor J. / Wilson, Robin J.
Washington, D.C. : Mathematical Association of America, c2009
x, 431 pages : illustrations
englisch
Spectrum series
Full Text
Table of Contents:
  • [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.