Book ID: CBB000201937

Mathematical Evolutions (2002)


Shenitzer, Abe (Editor)
Stillwell, John (Editor)

Mathematical Association of America

Publication Date: 2002
Physical Details: xii + 302 pp., illus., bibl., index
Language: English

Description Contents: Michael *Atiyah, Mathematics in the 20th century; N. *Luzin, Function: Two letters from N. N. Luzin to M. Ya. Vygodskii; Detlef *Laugwitz, Riemann's dissertation and its effect on the evolution of mathematics; Abe *Shenitzer, J. *Steprans, Evolution of integration; Erwin *Kreyszig, On the calculus of variations and its major influences on the mathematics of the first half of our century; I. G. *Bashmakova, G. S. *Smirnova, Evolution of literal algebra; I. G. *Bashmakova, A. N. *Rudakov, Evolution of algebra 1800-1870; John *Stillwell, What are algebraic integers and what are they for? Israel *Kleiner, Genesis of the abstract ring concept; Israel *Kleiner, Field theory from equations to axiomatization; John *Stillwell, Elliptic curves; John *Stillwell, Modular miracles; Hermann *Weyl, Topology and abstract algebra as two roads of mathematical comprehension; Jacques *Tits, Symmetry; John *Stillwell, Exceptional objects; M. M. *Postnikov, Problem of squarable lunes; Abe *Shenitzer, How hyperbolic geometry became respectable; Zdzislaw *Pogoda, Leszek M. *Sokolowski, Does mathematics distinguish certain dimensions of space? I. G. *Bashmakova, E. I. *Slavutin, Glimpses of algebraic geometry; Stefan *Mykytiuk, Abe *Shenitzer, Four significant axiomatic systems and some of the issues associated with them; Victor W. *Marek, Jan *Mycielski, Foundations of mathematics in the twentieth century; Joseph L. *Doob, Development of rigor in mathematical probability (1900--1950); V. M. *Tikhomirov, Evolution of methods of convex optimization; Abe *Shenitzer, A few expository mini-essays; Vl. P. *Vizgin, On the emotional assumptions without which one could not effectively investigate the laws of nature; Wilhelm *Magnus, Significance of mathematics: the mathematician's share in the general human condition.

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Authors & Contributors
Simone Aurora
Marina Dalé
Fabio Grigenti
Campaner, Raffaella
Gabbani, Carlo
Schuster, John
Foundations of Science
Social Studies of Science
Revue d'Histoire des Mathématiques
Philosophia Naturalis
Perspectives on Science
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Cambridge University Press
Pensa Multimedia
Franco Angeli
Philosophy of science
Methodology of science; scientific method
Natural philosophy
Leibniz, Gottfried Wilhelm von
Vailati, Giovanni
Turing, Alan Mathison
Poncelet, Jean Victor
Pascal, Blaise
Time Periods
20th century
17th century
19th century
Early modern
Roman Empire

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