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Understanding Physics and Physical Chemistry Using Formal Graphs

Eric Vieil (LEPMI, St. Martin d'Heres, France)



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CRC Press
08 November 2018
Combinatorics & graph theory; Mathematical physics; Physical chemistry
The subject of this book is truly original. By encoding of algebraic equations into graphs-originally a purely pedagogical technique-the exploration of physics and physical chemistry reveals common pictures through all disciplines. The hidden structure of the scientific formalism that appears is a source of astonishment and provides efficient simplifications of the representation of physical laws.

Understanding Physics and Physical Chemistry Using Formal Graphs is organized according to the structures emerging from formal graphs, from simple to elaborate, providing after each series of case studies the theoretical elements necessary for understanding their common features. More than 80 case studies are tackled in domains ranging from translational mechanics to Newtonian gravitation to chemical reactions.

With the help of this new tool, the modeling of physical phenomena becomes a fascinating cross-disciplinary exploration. The graphs encourage a visual, unified comprehension of the relationships between physical concepts and variables, properties, and operators. Out-of-the-box and thought provoking, this book inspires lively discussions and fruitful thinking about the connections between mechanics, chemical reactivity, electrodynamics, thermodynamics, and more.
By:   Eric Vieil (LEPMI St. Martin d'Heres France)
Imprint:   CRC Press
Country of Publication:   United Kingdom
Dimensions:   Height: 254mm,  Width: 178mm, 
Weight:   1.506kg
ISBN:   9781138381438
ISBN 10:   1138381438
Pages:   815
Publication Date:   08 November 2018
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Introduction Aim of this Book An Imperfect State of Science Improvement through Graphs Nodes of Graphs Energy and State Variables Links and Organization System Constitutive Properties Formal Objects and Organization Levels Poles The Pole as Elementary Collection Formal Graph Representation of a Pole Composition of Poles Definition of a Pole and Its Variables Space Distributed Poles The Role of Space Formal Graph Representation of a Space Distributed Pole Space Operators Translation Problems and Generalization Dipoles The Dipole Formal Graph Representation of a Dipole Interaction through Exchange between Poles Dipole Properties Common Features Result in New Ideas Influence between Poles Interaction between Poles Poles-Dipole Constitutive Properties Influence Theory In Short Multipoles The Multipole Decomposition into Dipoles Decomposition into Poles Theory of Conduction Dipole Assemblies The Dipole Assembly Evolution and Time Formal Graph Representation of a Dipole Assembly Temporal Oscillator Spatial Oscillator Spatiotemporal Oscillator Transfers Definition of Transfer Comparison between Energy Varieties Energy Behaviors Convection Assemblies and Circuits Assemblies and Dissipation Dissipation and Conversion Basic Processes Involving Dissipation Relaxation Models Damped Oscillator (Temporal) Spatially Damped Oscillator Attenuated Propagation Coupling between Energy Varieties Passages of Energy Energetic Equivalence Energetic Coupling Properties of Coupling Multiple Couplings Ideal Gas The Energy of Coupling The Scaling Chemical Potential Map of Energetic Couplings Conclusion and Perspectives Characteristics of the Theory Perspectives Conclusion Appendices Glossary Symbol List Graph Coding List of Case Studies CD-ROM content References Index

Dr. Eric Vieil is a researcher in physical chemistry at the French Atomic Energy Agency (CEA) in Grenoble, France. He is a specialist with more than 80 publications in theoretical and experimental studies on the electrochemical mechanisms of conducting materials.

Reviews for Understanding Physics and Physical Chemistry Using Formal Graphs

Vieil presents a universal toolkit-Formal Graphs-for understanding a wide range of scientific domains. ... mainly for graduate students, researchers and specialists, and engineers; the process itself would even be accessible to undergraduate students ... . The disk contains all the graphs, in color bitmap files, and software for building simple electric circuits and translating them into Formal Graphs. -SciTech News, Vol. 66, September 2012 Vieil (French Atomic Energy Agency) discusses the use of formal graphs in physics and chemistry to facilitate an understanding of these subjects. This method has four primary purposes. First, pedagogically, students can benefit from considering theoretical systems in a non-algebraic way. With pictorial representations, students can more easily see relationships between elements of a theory and the similarities of formal graph structures among theories. Second, since formal graphs are neural networks, it is much easier to translate the science into algorithms if one starts with the graphs. Third, scientists already familiar with one area can more easily learn and gain insight into a new area that is using the same formal graph. Finally, researchers can benefit by examining the work of researchers in other disciplines that are considering the same formal graphs. This is an intriguing way to represent the science. The author provides more than 80 case studies to illustrate this method. A companion CD-ROM includes all of the book's formal graphs as well as software for translating simple examples into formal graphs. The related website contains a variety of supplementary materials. Recommended. -E. Kincanon, Gonzaga University, CHOICE, August 2012

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