Contributor
Shenitzer, Abe.
Imprint:Washington, DC : Mathematical Association of America, c2002.
Descriptionxii, 302 p. : ill. ; 26 cm.
Note:GENERAL: Mathematics in the 20th century / Sir Michael Atiyah -- ANALYSIS: Function / N. Luzin -- Two letters from N.N. Luzin to M. Ya. Vygodskii -- Riemann's dissertation and its effect on the evolution of mathematics / Detlef Laugwitz -- The evolution of integration / A. Shenitzer, J. Steprans -- On the calculus of variations and its major influences on the mathematics of the first half of our century / Erwin Kreyszig -- ALGEBRA AND NUMBER THEORY: The evolution of literal algebra / I.G. Bashmakova, G.S. Smirnova -- The evolution of algebra 1800-1870 / I.G. Bashmakova, A.N. Rudakov -- What are algebraic intergers and what are they for? / John Stillwell -- The genesis of the abstract ring concept / Israel Kleiner -- Elliptic curves / John Stillwell -- Modular miracles / John Stillwell -- Topology and abstract algebra as two roads of mathematical comprehension / Hermann Weyl -- GEOMETRY AND TOPOLOGY: Symmetry / Jacques Tits -- Exceptional objects / John Stillwell -- The problem of squarable lunes / M.M. Postnikov -- How hyperbolic geometry became respectable / Abe Shenitzer -- Does mathematics distinguish certain dimensions of space? / Zdzislaw Pogoda, Leszek M. Sokolowski -- Glimpses of algebraic geometry / I.G. Bashmakova, E.I. Slavutin -- LOGIC AND FOUNDATIONS: Four significant axiomatic systems and some of the issues associated with them / Stefan Mykytiuk, Abe Shenitzer -- Foundations of mathematics in the 20th century / Victor W. Marek, Jan Mycielski -- APPLICATIONS: The development of rigor in mathematical probability (1900-1950) / Joseph L. Doob -- The evolution of methods of convex optimization / V.M. Tikhomirov -- MISCELLANEOUS: A few expository mini-essays / Abe Shenitzer -- On the emotional assumptions without which one could not effectively investigate the laws of nature / Vl. P. Vizgin -- The significance of mathematics: the mathematician's share in the general human condition / Wilhelm Magnus.
Bibliography Note:Includes bibliographical references and index.
