Mathematics as a Tool
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Mathematics as a Tool
Tracing New Roles of Mathematics in the Sciences
Lenhard, Johannes; Carrier, Martin
Springer International Publishing AG
05/2018
286
Mole
Inglês
9783319854007
15 a 20 dias
615
Descrição não disponível.
Chapter 1. Introduction (Johannes Lenhard).- Part 1. Organizing Science.- Chapter 2. Rational and Empirical Cultures of Prediction (Ann Johnson).- Chapter 3. Mathematization in Synthetic Biology: Analogies, Templates, and Fictions (Tarja Knuuttila).- Chapter 4. Trigonometry, Construction by Straightedge and Compass, and the applied mathematics of the Almagest (Ido Yavetz).- Chapter 5. Shaping Mathematics as a Tool: The Search for a Mathematical Model of Quasi-Crystals (Henrik Kragh Sorensen).- Part 2. Conceptual Re-Evaluation.- Chapter 6. Boon and Bane: On the Role of Adjustable Parameters in Simulation Models (Hans Hasse).- Chapter 7. Systems Biology in the Light of Uncertainty: The Limits of Computation (Miles MacLeod).- Chapter 8. The Vindication of Computer Simulations (Nicolas Fillion).- Chapter 9. Empirical Bayes as a Tool (Anouk Barberousse).- Part 3. Reflections on the Tool Character.- Chapter 10. On the Epistemic and Social Foundations of Mathematics as Tool and Instrument in Observatories, 1793-1846 (David Aubin).- Chapter 11. Approaching Reality by Idealization: How Fluid Resistance Was Studied By Ideal Flow Theory (Michael Eckert).- Chapter 12. Idealizations in Empirical Modeling (Julie Jebeile).- Chapter 13. Forcing Optimality and Brandt's Principle (Domenio Napoletani).- Chapter 14. Object Oriented Methods vs. Data Analysis: Is this the Right Alternative? (Juergen Jost).
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Scientific Practice;Mathematical instrument;Computer Modelling;Mathematical practice;Simulation;Mathematical Engineering;Mathematization;Mathematics mediator;Data driven Research;Mathematical Tuning;Mathematical idealization;Mathematical representation
Chapter 1. Introduction (Johannes Lenhard).- Part 1. Organizing Science.- Chapter 2. Rational and Empirical Cultures of Prediction (Ann Johnson).- Chapter 3. Mathematization in Synthetic Biology: Analogies, Templates, and Fictions (Tarja Knuuttila).- Chapter 4. Trigonometry, Construction by Straightedge and Compass, and the applied mathematics of the Almagest (Ido Yavetz).- Chapter 5. Shaping Mathematics as a Tool: The Search for a Mathematical Model of Quasi-Crystals (Henrik Kragh Sorensen).- Part 2. Conceptual Re-Evaluation.- Chapter 6. Boon and Bane: On the Role of Adjustable Parameters in Simulation Models (Hans Hasse).- Chapter 7. Systems Biology in the Light of Uncertainty: The Limits of Computation (Miles MacLeod).- Chapter 8. The Vindication of Computer Simulations (Nicolas Fillion).- Chapter 9. Empirical Bayes as a Tool (Anouk Barberousse).- Part 3. Reflections on the Tool Character.- Chapter 10. On the Epistemic and Social Foundations of Mathematics as Tool and Instrument in Observatories, 1793-1846 (David Aubin).- Chapter 11. Approaching Reality by Idealization: How Fluid Resistance Was Studied By Ideal Flow Theory (Michael Eckert).- Chapter 12. Idealizations in Empirical Modeling (Julie Jebeile).- Chapter 13. Forcing Optimality and Brandt's Principle (Domenio Napoletani).- Chapter 14. Object Oriented Methods vs. Data Analysis: Is this the Right Alternative? (Juergen Jost).
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