Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Alfred Tarski - Early Work in Poland—Geometry and Teaching

Alfred Tarski

Early Work in Poland—Geometry and Teaching

McFarland, Andrew, McFarland, Joanna, Smith, James (Eds.)

2014, XXIII, 499 p. 126 illus., 10 illus. in color.

A product of Birkhäuser Basel
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$119.00

(net) price for USA

ISBN 978-1-4939-1474-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$149.00

(net) price for USA

ISBN 978-1-4939-1473-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Unique compilation of papers from Alfred Tarki's early years as a mathematician and logician
  • Contains material which has previously been inaccessible to mathematicians and historians of mathematics
  • Evaluates and reflects upon Alfred Taski's early writings

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.

Content Level » Professional/practitioner

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

Related subjects » Birkhäuser History of Science - Birkhäuser Mathematics

Table of contents 

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.

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Mathematical Logic and Foundations.