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Andrew McFarland & Joanna McFarland 
Alfred Tarski 
Early Work in Poland—Geometry and Teaching

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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.

€96.29
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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.

Língua Inglês ● Formato PDF ● Páginas 499 ● ISBN 9781493914746 ● Tamanho do arquivo 13.5 MB ● Editor Andrew McFarland & Joanna McFarland ● Editora Springer New York ● Cidade NY ● País US ● Publicado 2014 ● Carregável 24 meses ● Moeda EUR ● ID 3350667 ● Proteção contra cópia Adobe DRM
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