On Meaningful Scientific Laws

Jean-Claude Falmagne, Christopher Doble (Autoren)

Buch | Softcover

XIII, 170 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer Berlin (Verlag)
978-3-662-51638-6 (ISBN)

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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.

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.

Erscheinungsdatum	19.08.2017
Zusatzinfo	XIII, 170 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	291 g
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	abstract axioms • Algorithm analysis and problem complexity • Dimensional Analysis • functional equations • invariance under transformations • mathematical representations • meaningfulness • Measurement • scientific code
ISBN-10	3-662-51638-1 / 3662516381
ISBN-13	978-3-662-51638-6 / 9783662516386
Zustand	Neuware