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Beschreibung
Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read.
Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive. Focusing on geometrical demonstration, she shows the roles that representation and ambiguity play in mathematical discovery. She presents a wide range of case studies in mechanics, topology, algebra, logic, and chemistry, from ancient Greece to the present day, but focusing particularly on the seventeenth and twentieth centuries. Anyone interested in how mathematics works will find this a stimulating read.
Inhaltsverzeichnis
  • Preface

  • Acknowledgments

  • Introductory Chapters

  • Productive Ambiguity: Galileo contra Carnap

  • Analysis and Experience

  • Section I: Chemistry and Geometry.

  • Bioorganic Chemistry and Biology

  • Genetics and Molecular Biology

  • Representation Theory and Chemistry

  • Section II: Geometry and 17th c. Mechanics.

  • Descartes's Geometry

  • Newton's Principia

  • Leibniz on Transcendental Curves.

  • Section III: Geometry and 20th c. Topology

  • Geometry, Algebra, and Topology

  • Logic and Topology

  • Bibliography

Details
Erscheinungsjahr: 2007
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9780199299737
ISBN-10: 0199299730
Sprache: Englisch
Einband: Gebunden
Autor: Grosholz, Emily R
Hersteller: Oxford University Press (UK)
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 165 x 24 mm
Von/Mit: Emily R Grosholz
Erscheinungsdatum: 18.10.2007
Gewicht: 0,635 kg
Artikel-ID: 133174423

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