The Chauvenet papers : a collection of prize-winning expository papers in mathematics / J.C. Abbott, editor.

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Bibliographic Details
Other Authors: Abbott, James Crawford
Format: Book
Language:English
Published: [Washington, D.C.] : Mathematical Association of America, ©1978.
Subjects:
Table of Contents:
  • Vol. 1: William Chauvenet / J.A. Tierney
  • Algebraic functions and their divisors / Gilbert Ames Bliss
  • The Borel theorem and its generalizations / Theophil Henry Hildebrandt
  • Appendix / E.J. McShane
  • An introduction to the theory of numbers / Godfrey Harold Hardy
  • Series of orthogonal polynomials / Dunham Jackson
  • Orthogonal trigonometric sums / Dunham Jackson
  • The convergence of fourier series / Dunham Jackson
  • Appendix / Guido Weiss
  • On the structure of continua / Gordon Thomas Whyburn
  • Appendix / F.B. Jones
  • Some recent advances in algebra / Saunders MacLane
  • Modular fields / Saunders MacLane
  • Some introductory exercises in the manipulation of fourier transforms / Robert H. Cameron
  • The foundations of probability / Paul Richard Halmos
  • Appendix / Colin Blyth
  • Random walk and the theory of Brownian motion / Mark Kac
  • Appendix / Mark Kac
  • Partial orderings and Moore-Smith limits / Edward James McShane
  • Appendix / E.J. McShane
  • Recent advances in the foundation sof Euclidean plane geometry / Richard Hubert Bruck
  • Appendix / R.H. Bruch.
  • Vol. 2: Linear systems in self-adjoint form / Cornelius Lanczos
  • Leonhard Euler's integral: a historical profile of the gamma function / Philip J. Davis
  • Are logic and mathematics identical? / Leon A. Henkin
  • Differential equations: linearity vs. non-linearity / Jack K Hale and Joseph P. LaSalle
  • Harmonic Analysis / Guido L. Weiss
  • Can one hear the shape of a drum? / Mark Kac
  • Curves and surfaces in Euclidean space / Shiing-Shen Chern
  • A motivated account of an elementary proof of the prime number theorem / Norman Levinson
  • On local solvability of lineary partial differential equations / Jean Francois Treves
  • The simple continued fraction expansion of e / Carl Douglas Olds
  • The formation and decay of shock waves / Peter D. Lax
  • Hilbert's tenth problem / Martin D. Davis and Reuben Hersh
  • Real proofs of complex theorems (and vice versa) / Lawrence Zalcman.