A history of folding in mathematics : mathematizing the margins /: mathematizing the margins. (2018)

• Record Type: Book
• Further Information: Note: Michael Friedman.
• Authors: Friedman, Michael
• Contents: Intro; Acknowledgments; Contents; List of Figures; Chapter 1: Introduction; 1.1 Setting the Scene: Which Instrument Is Stronger?; 1.2 Marginalization and Its Epistemological Consequences; 1.3 Marginalization and the Medium: Or-Why Did Marginalization Occur?; 1.4 The Economy of Excess and Lack; 1.5 Historiographical Perspectives and an Overview; 1.5.1 Marginalized Traditions; 1.5.2 The Historical Research to Date and Overview; 1.5.3 Argument and Structure; Chapter 2: From the Sixteenth Century Onwards: Folding Polyhedra-New Epistemological Horizons?; 2.1 Dürerś Nets. 2.1.1 Underweysung der Messung and the Unfolded Nets2.1.2 Folded Tiles and Folds of Drapery; 2.1.3 Dürerś Folding: An Epistemological Offer?; 2.2 Dürerś Unfolded Polyhedra: Context and Ramifications; 2.2.1 Pacioli and Bovelles, Paper Instruments and Folded Books: Encounters of Folding and Geometry; 2.2.1.1 Paper Instruments: Folding for Science; 2.2.1.2 A Historical Detour: Bat Books and Imposition of the Book-The Standardization of Folding; 2.2.2 Dürerś Followers Fold a Net; 2.2.2.1 Stevinś and Cowleyś Impossible Nets; 2.2.2.2 Nets of Polyhedra: A Mathematical Stagnation? 2.3 Ignoring Folding as a Method of Proof in Mathematics2.3.1 Folding and Geometry: A Forgotten Beginning-Pacioli Folds a Gnomon; 2.3.2 Folding and Geometry: A Problematic Beginning; Chapter 3: Prolog to the Nineteenth Century: Accepting Folding as a Method of Inference; 3.1 Folding and the Parallel Postulate; 3.1.1 Folding and Parallel Line: An Implicit Encounter During the Arabic Middle Ages; 3.1.2 Folding and Parallel Line: An Explicit Encounter During the Eighteenth Century; 3.2 Folding in Proofs: Suzanne and Francœur. 3.2.1 Symmetry and Folding Diderot and Symmetry in Francœurś Cours Complet3.3 Lardner, Wright, Henrici: Symmetry with Folding in Great Britain; Chapter 4: The Nineteenth Century: What Can and Cannot Be (Re)presented-On Models and Kindergartens; 4.1 On Models in General and Folded Models in Particular; 4.1.1 Mathematical Models During the Eighteenth and Nineteenth Centuries; 4.1.2 Folded Models in Mathematics: Dupin, Schlegel, Beltrami, Schwarz and the Two Wieners; 4.1.2.1 Louis Dupin and Victor Schlegel: How to Fold Nets in the Nineteenth Century. Dupin: The Integration of Folded Nets and Texts in the Third DimensionSchlegel: Nets of Polyhedra Beyond the Third Dimension; Alicia Boole Stott Folds Towards the Fourth Dimension; 4.1.2.2 Eugenio Beltrami and Models in Italy; Beltramiś Folded Models of the Pseudosphere; The Fold in ``Mannigfaltigkeit:́́ A Philosophical Influence; 4.1.2.3 Schwarz, Peano and Christian Wiener; Schwarz, Peano and the Erroneous Definition of Surface Area; Developable Surfaces, Christian Wiener and Schwarzś Model; 4.1.2.4 Hermann Wiener; Wienerś Foldings and Wires.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2018
• Extent: 1 online resource (xv, 419 pages), illustrations (some color)
• Subjects: 510.9; Mathematics; Mathematics -- History; MATHEMATICS -- Essays; MATHEMATICS -- Pre-Calculus; MATHEMATICS -- Reference; Mathematics; Science -- History; Mathematics -- Geometry -- General; Mathematics -- Logic; History of science; Geometry; Mathematical foundations; History; Geometry; Logic, Symbolic and mathematical; Mathematics -- History & Philosophy; History of mathematics; Electronic books; History
• Languages: English
• ISBNs: 9783319724874; 3319724878
• Related ISBNs: 9783319724867; 331972486X
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 31, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.