Emily R Grosholz

Representation and Productive Ambiguity in Mathematics and the Sciences

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Sydney University Press
• Seitenzahl: 332
• Erscheinungstermin: 18. Oktober 2007
• Englisch
• Abmessung: 235mm x 165mm x 24mm
• Gewicht: 635g
• ISBN-13: 9780199299737
• ISBN-10: 0199299730
• Artikelnr.: 23573991

Inhaltsangabe

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