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On Meaningful Scientific Laws

E-BookPDF1 - PDF WatermarkE-Book
170 Seiten
Englisch
Springer Berlin Heidelbergerschienen am10.09.20151st ed. 2015
The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or 'Gedanken Experiments'. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations.


Jean-Claude Falmagne is an emeritus professor of Cognitive Sciences at the University of California, Irvine. His research interests focus on the application of mathematics to educational technology, psychophysics, choice theory, and philosophy of sciences, in particular measurement theory.
Chris Doble is the Math Content Development Manager at MHE / ALEKS Corporation. Along with his focus on using technology in the teaching and learning of mathematics, he maintains academic interests and publishes in measurement theory and psychophysics.
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BuchKartoniert, Paperback
EUR53,49
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E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextThe authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or 'Gedanken Experiments'. Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables. This constraint makes it possible to narrow down the possible forms of the laws. It is closely related to, but different from, dimensional analysis. It is a mathematical book, largely based on solving functional equations. In fact, one chapter is an introduction to the theory of functional equations.


Jean-Claude Falmagne is an emeritus professor of Cognitive Sciences at the University of California, Irvine. His research interests focus on the application of mathematics to educational technology, psychophysics, choice theory, and philosophy of sciences, in particular measurement theory.
Chris Doble is the Math Content Development Manager at MHE / ALEKS Corporation. Along with his focus on using technology in the teaching and learning of mathematics, he maintains academic interests and publishes in measurement theory and psychophysics.
Details
Weitere ISBN/GTIN9783662460986
ProduktartE-Book
EinbandartE-Book
FormatPDF
Format Hinweis1 - PDF Watermark
FormatE107
Erscheinungsjahr2015
Erscheinungsdatum10.09.2015
Auflage1st ed. 2015
Seiten170 Seiten
SpracheEnglisch
IllustrationenXIII, 170 p. 1 illus. in color.
Artikel-Nr.1823869
Rubriken
Genre9200

Inhalt/Kritik

Inhaltsverzeichnis
Overview.- Extensive Measurement.- Functional Equations.- Abstract Axioms and their Representations.- Defining Meaningfulness.- Meaningfullness and Dimensional Invariance.- Propagating Axioms via Meaningfulness.- Meaningful Representation of Scientific Codes.- Order Invariance under Transformations.- Open Problems.- Bibliography.- Index.mehr

Autor

Jean-Claude Falmagne is an emeritus professor of Cognitive Sciences at the University of California, Irvine. His research interests focus on the application of mathematics to educational technology, psychophysics, choice theory, and philosophy of sciences, in particular measurement theory.
Chris Doble is the Math Content Development Manager at MHE / ALEKS Corporation. Along with his focus on using technology in the teaching and learning of mathematics, he maintains academic interests and publishes in measurement theory and psychophysics.