a force equal to the mass times the inverse distance. Bôcher's equation Bôcher's equation is a second-order ordinary differential equation of the form: The Bôcher Memorial Prize The Bôcher Memorial Prize is awarded by the American Mathematical Society every five years for notable research in analysis that has appeared in a recognized North American journal. Winners have included James W. Alexander II (1928), Eric Temple Bell (1924), George D. Birkhoff (1923), Paul J. Cohen (1964), Solomon Lefschetz (1924), Marston Morse and Norbert Wiener (1933), and John von Neumann (1938). Works 1894: Ueber die Reihenentwicklungen der Potentialtheorie via Internet Archive 1900: "Randwertaufgaben bei Gewöhnlich Differentialgleichung", Encyclopädie der mathematischen Wissenschaften Band 2–1–1. 1907: (with E.P.R.DuVal) Introduction to Higher Algebra via HathiTrust 1909: Introduction to the study of Integral Equations via Internet Archive 1917: Leçons sur les méthodes de Sturm dans la théorie des équations différentielles linéaires et leurs développements modernes via Internet Archive. Bôcher was one of the editors of the Annals of Mathematics, of the Transactions of the American Mathematical Society. References External links Maxime Bocher biographical memoirs of the national academy of sciences. National Academy of Sciences Biographical Memoir 19th-century American mathematicians 20th-century American mathematicians Mathematical analysts Harvard University faculty Harvard University alumni University of Göttingen alumni 1867 births 1918 deaths Presidents of the American Mathematical Society Cambridge Rindge and Latin School alumni People from Boston Mathematicians from Massachusetts Members of the United States National Academy of Sciences