The Collected Mathematical Papers of Henry John Stephen Smith: (AMS Chelsea Publishing)

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 (""Memoire sur quelques problems 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: Memoire sur quelques problemes 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 integrales elliptiques completes Memoire sur les equations 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 Memoire sur la representation des nombres par des sommes de cinq carres 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.