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The Collected Mathematical Papers of Henry John Stephen Smith
Edited by: J. W. L. Glaisher
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AMS Chelsea Publishing
1965; 1322 pp; hardcover
Volume: 187
ISBN-10: 0-8284-0187-X
ISBN-13: 978-0-8284-0187-6
List Price: US$113
Member Price: US$101.70
Order Code: CHEL/187
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This publication includes all the mathematical papers of H.J.S. Smith in chronological order, enabling readers to trace the course of his mathematical studies and tastes. Most of the papers are in English, some of the papers or notes are in French. His work falls into three distinct groups: Geometry, Theory of Numbers, and Elliptic Functions. The first paper in Volume II [Mémoire sur quelques problèmes cubiques et biquadratiques] was a prize memoir for which, cojointly with another memoir, the Steinder Prize of the Berlin Academy was awarded. This publication also includes a Biographical Sketch by Charles H. Pearson; Recollections of Henry J.S. Smith by Jowett, Lord Bowen, J.L. Strachan-Davidson and Alfred Robinson; Introduction to the Mathematical Papers by the Editor, J.W.L. Glaisher.

Table of Contents

Volume I
  • On some of the methods at present in use in pure geometry
  • On some geometrical constructions
  • De compositione numerorum primorum formae \(4\lambda +1\) ex duobus quadratis
  • On the history of the researches of mathematicians on the subject of the series of prime numbers
  • Report on the theory of numbers. Part I
  • Report on the theory of numbers. Part II
  • Report on the theory of numbers. Part III
  • Report on the theory of numbers. Part IV
  • Report on the theory of numbers. Part V
  • Report on the theory of numbers. Part VI
  • On systems of indeterminate linear equations
  • On systems of linear indeterminate equations and congruences
  • On the criterion of resolubility in integral numbers of the indeterminate equation \(f=ax^2 +a^{\prime}x^{\prime 2}+ a^{\prime\prime}x^{\prime\prime 2}+2bx^{\prime} x^{\prime\prime}+ 2b^{\prime}xx^{\prime\prime}+ 2b^{\prime\prime}x^{\prime}x= 0\)
  • On the orders and genera of quadratic forms containing more than three indeterminates
  • On complex binary quadratic forms
  • On a formula for the multiplication of four theta functions
  • On the orders and genera of ternary quadratic forms
  • On the orders and genera of quadratic forms containing more than three indeterminates
  • On some geometrical constructions
  • Observatio geometrica
  • On the focal properties of homographic figures
  • On the focal properties of correlative figures
Volume II
  • Mémoire sur quelques problèmes cubiques et biquadratiques
  • Arithmetical notes
  • On the integration of discontinuous functions
  • On the higher singularities of plane curves
  • Mathematical notes
  • Note on continued fractions
  • Note on the theory of the Pellian equation, and of binary quadratic forms of a positive determinant
  • On the value of a certain arithmetical determinant
  • On the present state and prospects of some branches of pure mathematics
  • On the conditions of perpendicularity in a parallelepipedal system
  • On the conditions of perpendicularity in a parallelepipedal system
  • Sur le intégrales elliptiques complètes
  • Mémoire sur les équations modulaires
  • On the singularities of the modular equations and curves
  • Note on a modular equation of the transformation of the third order
  • Note on the formula for the multiplication of four theta functions
  • De fractionibus quibusdam continuis
  • On some discontinuous series considered by Riemann
  • Notes on the theory of elliptic transformation
  • Notes on the theory of elliptic transformation
  • Memoir on the theta and omega functions
  • Mémoire sur la représentation des nombres par des sommes de cinq carrés
Appendix
  • Address to the mathematical and physical section of the British Association at Bradford in 1873
  • Arithmetical instruments
  • Geometrical instruments and models
  • Introduction to the mathematical papers of William Kingdon Clifford
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