Authors:
Presents the mathematical research and philosophy of Mario Pieri, whose axiomatic approach to geometry has influenced generations of mathematicians
Captures Pieri’s unique expository style with three of Pieri’s most pivotal research papers, translated by the authors and appearing in English for the first time
Highlights the accomplishments of one of Italy’s most important mathematicians
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Table of contents (10 chapters)
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Front Matter
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Back Matter
About this book
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.
A list of errata can be found on the author Smith’s personal webpage.
Keywords
- Mario Pieri
- Peano math
- Italy mathematics history
- GKC von Staudt
- Axiomatic method geometry
- Projective geometry
- Geometry history
- Geometry axiomatic system
- Hypothetical deductive system
- Logicism mathematics
- Axiomatic geometry
- Descriptive geometry
- Elementary geometry
- Transformational geometry
- Homography geometry
Reviews
Authors and Affiliations
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Department of Mathematics, California State University, Northridge, Malibu, USA
Elena Anne Corie Marchisotto
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Depto. Lógica y Filosofía de la Ciencia, Fac. Filosofía y Ciencias de la Educación, Universidad de Valencia, Valencia, Spain
Francisco Rodríguez-Consuegra
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Department of Mathematics and Statistics, San Francisco State University, San Francisco, USA
James T. Smith
Bibliographic Information
Book Title: The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics
Authors: Elena Anne Corie Marchisotto, Francisco Rodríguez-Consuegra, James T. Smith
DOI: https://doi.org/10.1007/978-0-8176-4823-7
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2021
Hardcover ISBN: 978-0-8176-4822-0Published: 03 April 2021
eBook ISBN: 978-0-8176-4823-7Published: 02 April 2021
Edition Number: 1
Number of Pages: XXIV, 603
Number of Illustrations: 41 b/w illustrations, 21 illustrations in colour
Topics: History of Mathematical Sciences, History of Science, Mathematical Logic and Foundations, Logic, Philosophy of Science