On Meaningful Scientific Laws | Buch

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Cover: 9783662460979 | On Meaningful Scientific Laws | Christopher Doble (u. a.) | Buch

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Sprache: Englisch

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Beschreibung

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.

Über den 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.

Zusammenfassung

This book gives many examples of applications

A "how to" book, which prepares the reader to transforming the problem of finding the scientific law relevant to a phenomenon into solving a functional equation problem

Closely related to, but essentially different from, dimensional analysis

Includes supplementary material: [...]

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.

Details

Erscheinungsjahr:	2015
Genre:	Informatik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	184
Inhalt:	xiii 170 S.
ISBN-13:	9783662460979
ISBN-10:	3662460971
Sprache:	Englisch
Herstellernummer:	978-3-662-46097-9
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Doble, Christopher Falmagne, Jean-Claude
Auflage:	1st ed. 2015
Hersteller:	Springer Berlin Springer Berlin Heidelberg
Maße:	241 x 160 x 16 mm
Von/Mit:	Christopher Doble (u. a.)
Erscheinungsdatum:	02.10.2015
Gewicht:	0,448 kg

preigu-id: 104931211