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  • 1
    Online Resource
    Online Resource
    New York, NY : Springer New York | New York, NY : Birkhäuser
    UID:
    b3kat_BV047270902
    Format: 1 Online-Ressource (XXII, 603 p. 62 illus., 21 illus. in color)
    Edition: 1st ed. 2021
    ISBN: 9780817648237
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-8176-4822-0
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-0-8176-7260-7
    Language: English
    Keywords: Pieri, Mario 1860-1913 ; Mathematik ; Philosophie ; Geschichte 1860-1913
    URL: Volltext  (URL des Erstveröffentlichers)
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  • 2
    UID:
    b3kat_BV023254324
    Format: 1 Online-Ressource
    ISBN: 9780817646035
    Language: English
    Keywords: Pieri, Mario 1860-1913 ; Biografie
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  • 3
    UID:
    gbv_1756963533
    Format: 1 Online-Ressource (XXII, 603 Seiten)
    ISBN: 9780817648237
    Content: The Italian mathematician Mario Pieri (1860–1913) played a major role in the development of algebraic geometry and foundations of mathematics around the turn of the twentieth century. This volume is the second in a series intended to make Pieri’s research in diverse fields—mathematical logic and philosophy of mathematics, foundations of projective, inversive, and elementary geometry, algebraic and differential geometry, and vector analysis—accessible to today’s scholars and to assess its importance (yet little recognized) in historical and modern contexts. The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics examines Pieri’s underlying philosophy of mathematics and his research goals, highlighting one of his most influential achievements, his axiomatizations of projective and elementary geometry. Its chapters include three of Pieri’s pioneering works, translated by the authors and appearing in English for the first time, as well as an analysis of the role of this research in its larger context. Together, these translations and the accompanying interpretation accurately capture Pieri’s expository style, philosophical perspective, and his foundational research, which has influenced generations. With an excellent index, exhaustive references, and engaging discussions that reveal Pieri’s work in its historical context, this volume will appeal to scholars and advanced students interested in the history and philosophy of mathematics and logic, as well as readers with a general knowledge of geometry at the intermediate level.
    Note: Preface -- Pieri's Contributions to Foundations and Philosophy of Mathematics -- Pieri's Philosophy of Deductive Sciences -- Two Paths to Logical Consequence: Pieri and the Peano School -- Pieri's 1900 Paris Paper -- Pieri and Projective Geometry -- Pieri's 1898 Geometry of Position Memoir -- Transformational Geometry -- Pieri's 1900 Point-and-Motion Memoir -- Pieri's Works on Foundations and Philosophy of Mathematics -- Central Themes and Impact of Pieri's Work -- Bibliography -- Index.
    Additional Edition: ISBN 9780817648220
    Additional Edition: ISBN 9780817672607
    Language: English
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  • 4
    UID:
    gbv_165902983X
    Format: Online-Ressource (XXIII, 499 p. 126 illus., 10 illus. in color, online resource)
    ISBN: 9781493914746
    Series Statement: SpringerLink
    Content: 1 Tarski’s first paper -- 1.1 Introduction -- 1.2 Item 1 below (nearing completion) -- 2 Papers on equidecomposibility of polygons -- 2.1 Introduction -- 2.2 Item 2 below (nearing completion) -- 2.3 Item 6 below (old translation, needs redoing) -- 2.4 Item 8 below (old translation, needs redoing) -- 2.5 Exercise 31pc in item 11g below -- 3 Papers related to secondary teaching -- 3.1 Introduction -- 3.2 Item 4 below (meeting report) -- 3.3 Item 7 below (on circles, nearing completion) -- 3.4 Extract from Item 9 below (textbook) -- 3.5 Remainder of item 11 below (exercises) -- 4 Assorted contributions -- 4.1 Introduction -- 4.2 Item 3 below (on insurance) -- 4.3 Item 5 below (abstract on truth) -- 4.4 Item 10 below (Lukasiewicz abstract on definitions) -- 4.5 Item 12 below (contributions to discussions) -- 5 Bibliography -- 5.1 Introduction -- 5.2 List of Tarski works published since the Collected Works -- 5.3 List of biographical books and articles -- 5.4 List of summaries of Tarski’s scientific work -- 5.5 References for the present book -- Illustrations -- Young Tarski (frontispiece) -- From the first paper -- From the 1924 paper -- Something from one of the teachers’ journals -- Index
    Content: 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
    Note: Description based upon print version of record , 1 Tarski’s first paper1.1 Introduction -- 1.2 Item 1 below (nearing completion) -- 2 Papers on equidecomposibility of polygons -- 2.1 Introduction -- 2.2 Item 2 below (nearing completion) -- 2.3 Item 6 below (old translation, needs redoing) -- 2.4 Item 8 below (old translation, needs redoing) -- 2.5 Exercise 31pc in item 11g below -- 3 Papers related to secondary teaching -- 3.1 Introduction -- 3.2 Item 4 below (meeting report) -- 3.3 Item 7 below (on circles, nearing completion) -- 3.4 Extract from Item 9 below (textbook) -- 3.5 Remainder of item 11 below (exercises) -- 4 Assorted contributions -- 4.1 Introduction -- 4.2 Item 3 below (on insurance) -- 4.3 Item 5 below (abstract on truth) -- 4.4 Item 10 below (Lukasiewicz abstract on definitions) -- 4.5 Item 12 below (contributions to discussions) -- 5 Bibliography -- 5.1 Introduction -- 5.2 List of Tarski works published since the Collected Works -- 5.3 List of biographical books and articles -- 5.4 List of summaries of Tarski’s scientific work -- 5.5 References for the present book -- Illustrations -- Young Tarski (frontispiece) -- From the first paper -- From the 1924 paper -- Something from one of the teachers’ journals -- Index.
    Additional Edition: ISBN 9781493914739
    Additional Edition: Druckausg. Alfred Tarski New York : Birkhäuser, 2014 ISBN 9781493914739
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Tarski, Alfred 1901-1983
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 5
    UID:
    gbv_1763007774
    Format: 1 online resource (622 pages) , Illustrationen
    ISBN: 9780817648237
    Note: Description based on publisher supplied metadata and other sources
    Additional Edition: ISBN 9780817648220
    Additional Edition: Erscheint auch als Druck-Ausgabe Marchisotto, Elena, 1945 - The legacy of Mario Pieri in foundations and philosophy of mathematics New York : Birkhäuser, 2021 ISBN 9780817648220
    Language: English
    Subjects: History
    RVK:
    Author information: Rowe, David E. 1950-
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