On Meaningful Scientific Laws

• Κύριοι συγγραφείς: Falmagne, Jean-Claude (Συγγραφέας), Doble, Christopher (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Έκδοση: 1st ed. 2015.
• Θέματα: Computer science.; Philosophy and science.; Algorithms.; Computer science > Mathematics.; Difference equations.; Functional equations.; Computer Science.; Algorithm Analysis and Problem Complexity.; Math Applications in Computer Science.; Difference and Functional Equations.; Philosophy of Science.
• Φυσική περιγραφή: XIII, 170 p. 1 illus. in color. online resource.
• ISBN: 9783662460986

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.