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Art --- graphs --- photographs

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Bond graphs --- Dynamics --- Engineering models --- Systems engineering

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This book contains Volume 7 of the Journal of Graph Algorithms and Applications (JGAA). JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications ne

Graph algorithms. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Computer algorithms --- Extremal problems

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Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results.

Additive combinatorics --- Additive combinatorics. --- Combinatorial analysis --- Analyse combinatoire --- Combinatorial analysis. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Topology --- Combinatorics --- Algebra --- Mathematical analysis --- Extremal problems

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Students, academics and researchers will find this book an invaluable contribution to the understanding of thermodynamics. In this new treatment of the subject, the authors focus on the principles of thermodynamic variables and the practical simulation of thermodynamic systems, and endeavour to show how simple thermodynamics really is by applying two innovations: The use of entropy as thermal charge and not as the incomprehensible Clausius integral (an idea which applies only in special cases); The use of Bond Graphs to represent relations among variables. This tool from control and systems engineering has been treated extensively in other publications by Springer, including two books by Prof. Thoma, and is succinctly explained here in an appendix. The book opens with thermodynamics as universal science and with entropy as carrier of thermal power, and goes on to consider the effects of friction, including the Carnot cycle. Next, it treats systems with variable mass and variable mass flow and extends the concepts to chemical reactions and osmosis. Finally, descending by some 20 orders of magnitude, it considers single atoms and degrees of freedom of atoms, with statistical aspects of information theory. There are also sections on biology (written in collaboration with Prof. Henri Atlan of Paris and Jerusalem) and on earth science (global warming). A modern approach with a strong emphasis on interdisciplinary engineering, this book offers a unique view of modern complex systems engineering and its ramifications, and contributes to the advance of pluridisciplinarity among scientists. The Authors Prof. Jean U. Thoma: Ph. D. in Physics, Professor of Mechanical Engineering. Originally a physicist who journeyed from hydrostatic engineering to biology through Bond Graphing and author of many books and publications on these subjects. Dr. Gianni Mocellin, Civil Engineer, Master in Business Administration, Master in Artificial Intelligence, Ph. D. in Economics, user of Bond Graphs, a pluridisciplinarian in the true sense and an accomplished practitioner in psychology, robotics and expert systems.

Thermodynamics. --- Bond graphs. --- Graph theory --- System analysis --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Mechanics, applied. --- Theoretical and Applied Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mechanics. --- Mechanics, Applied. --- Classical mechanics --- Newtonian mechanics