Overview
- 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: sn.pub/extras
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: On Meaningful Scientific Laws
Authors: Jean-Claude Falmagne, Christopher Doble
DOI: https://doi.org/10.1007/978-3-662-46098-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2015
Hardcover ISBN: 978-3-662-46097-9Published: 02 October 2015
Softcover ISBN: 978-3-662-51638-6Published: 23 August 2016
eBook ISBN: 978-3-662-46098-6Published: 10 September 2015
Edition Number: 1
Number of Pages: XIII, 170
Topics: Algorithm Analysis and Problem Complexity, Math Applications in Computer Science, Difference and Functional Equations, Philosophy of Science