Alfred Tarski

Early Work in Poland—Geometry and Teaching

  • Andrew McFarland
  • Joanna McFarland
  • James T. Smith

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Debut

    1. Front Matter
      Pages 1-1
    2. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 3-18
    3. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 19-30
    4. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 31-41
  3. Geometry

    1. Front Matter
      Pages 43-43
    2. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 45-76
    3. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 77-91
    4. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 93-123
    5. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 125-158
    6. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 159-167
  4. Teaching

    1. Front Matter
      Pages 169-170
    2. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 171-224
    3. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 225-227
    4. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 229-241
    5. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 243-272
    6. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 273-318
    7. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 319-336
  5. Supplement

    1. Front Matter
      Pages 337-337
    2. Andrew McFarland, Joanna McFarland, James T. Smith
      Pages 339-384

About this book

Introduction

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—Geometry and Teaching 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.

Keywords

Alfred Tarski analytic geometry degree of equivalence of polygons high school geometry symbolic logic theory of deduction well-ordered sets

Editors and affiliations

  • Andrew McFarland
    • 1
  • Joanna McFarland
    • 2
  • James T. Smith
    • 3
  1. 1.PlockPoland
  2. 2.PlockPoland
  3. 3.Dept. MathematicsSan Francisco State UniversitySan FranciscoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-1474-6
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-1473-9
  • Online ISBN 978-1-4939-1474-6
  • About this book