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mcfarland andrew (curatore); mcfarland joanna (curatore); smith james t. (curatore) - alfred tarski

Alfred Tarski Early Work in Poland—Geometry and Teaching

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 08/2014
Edizione: 2014





Trama

Alfred Tarski (1901–1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now.

This self-contained book focuses on Tarski’s early contributions to geometry and mathematics education, including the famous Banach–Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski’s later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski’s years in Poland.

Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski’s early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski’s bibliography.

A list of errata can be found on the author Smith’s personal webpage.





Sommario

Foreword, by Ivor Grattan-Guinness.- Preface.- Illustrations.- Maps of Central Europe.- Part One: Debut.- 1 School, University, Strife.- 2 A Contribution to the Axiomatics of Well-Ordered Sets (1921).- 3 Doctoral Research.- Part Two: Geometry.- 4 Area, Volume, Measure.- 5 On the Equivalence of Polygons (1924).- 6 On Decomposition of Point Sets into Respectively Congruent Parts (1924).- 7 Degree of Equivalence of Polygons.- 8 Research Threads.- Part Three: Teaching.- 9 Career and Family.- 10 Congress of Mathematicians of Slavic Countries (1929).- 11 Circumference of a Circle (1932).- 12 Exercises Posed by Tarski.- 13 Geometry for the Third Gimnazjum Class (1935).- 14 Teaching and Logic—to the New World.- Part Four: Supplement.- 15 Assorted Contributions.- 16 Posthumous Publications.- 17 Biographical Studies.- 18 Research Surveys.- Bibliography.- Permissions.- Index of Persons.- Index of Subjects.











Altre Informazioni

ISBN:

9781493914739

Condizione: Nuovo
Dimensioni: 254 x 178 mm Ø 12375 gr
Formato: Copertina rigida
Illustration Notes:XXV, 499 p. 126 illus., 10 illus. in color.
Pagine Arabe: 499
Pagine Romane: xxv


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