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This book presents the concepts needed to deal with self-organizing complex systems from a unifying point of view that uses macroscopic data. The various meanings of the concept "information" are discussed and a general formulation of the maximum information (entropy) principle is used. With the aid of results from synergetics, adequate objective constraints for a large class of self-organizing systems are formulated and examples are given from physics, life and computer science. The relationship to chaos theory is examined and it is further shown that, based on possibly scarce and noisy data, unbiased guesses about processes of complex systems can be made and the underlying deterministic and random forces determined. This allows for probabilistic predictions of processes, with applications to numerous fields in science, technology, medicine and economics. The extensions of the third edition are essentially devoted to an introduction to the meaning of information in the quantum context. Indeed, quantum information science and technology is presently one of the most active fields of research at the interface of physics, technology and information sciences and has already established itself as one of the major future technologies for processing and communicating information on any scale. This book addresses graduate students and nonspecialist researchers wishing to get acquainted with the concept of information from a scientific perspective in more depth. It is suitable as a textbook for advanced courses or for self-study.
Self-organizing systems. --- Entropy (Information theory) --- Ergodic theory --- Information theory --- Learning systems (Automatic control) --- Self-optimizing systems --- Cybernetics --- Intellect --- Learning ability --- Synergetics --- System theory. --- Neurosciences. --- Data structures (Computer scienc. --- Complex Systems. --- Systems Theory, Control. --- Condensed Matter Physics. --- Biological and Medical Physics, Biophysics. --- Data Structures and Information Theory. --- Data structures (Computer science) --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical sciences --- Nervous system --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Systems theory. --- Statistical physics. --- Dynamical systems. --- Condensed matter. --- Biophysics. --- Biological physics. --- Data structures (Computer science). --- Biological physics --- Biology --- Physics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Statistical methods
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Brain Dynamics serves to introduce graduate students and nonspecialists from various backgrounds to the field of mathematical and computational neurosciences. Some of the advanced chapters will also be of interest to the specialists. The book approaches the subject through pulse-coupled neural networks, with at their core the lighthouse and integrate-and-fire models, which allow for the highly flexible modelling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. Topics also include pulse-averaged equations and their application to movement coordination. The book closes with a short analysis of models versus the real neurophysiological system. The second edition has been thoroughly updated and augmented by two extensive chapters that discuss the interplay between pattern recognition and synchronization. Further, to enhance the usefulness as textbook and for self-study, the detailed solutions for all 34 exercises throughout the text have been added.
Brain. --- Nervous system. --- Electrophysiology. --- Animal electricity --- Bioelectricity --- Electricity, Animal --- Electrobiology --- Neurology --- Physiology --- Electricity --- Organs (Anatomy) --- Neurosciences --- Cerebrum --- Mind --- Central nervous system --- Head --- Physiological effect --- Medical physics. --- Mathematics. --- Neurosciences. --- Artificial intelligence. --- Biological and Medical Physics, Biophysics. --- Medical and Radiation Physics. --- Complex Systems. --- Applications of Mathematics. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical sciences --- Nervous system --- Math --- Science --- Health physics --- Health radiation physics --- Medical radiation physics --- Radiotherapy physics --- Radiation therapy physics --- Biophysics --- Physics --- Biophysics. --- Biological physics. --- Radiation. --- Statistical physics. --- Dynamical systems. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Mathematical statistics --- Radiology --- Biological physics --- Biology --- Statistical methods
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Electronics and optics of solids --- Energy-band theory of solids. --- Quantum field theory. --- Solids. --- Energie, Bande d' (Physique) --- Théorie quantique des champs --- Solides --- Quantum field theory --- Solids --- Energy-band theory of solids --- 530.1 --- Solid state physics --- Transparent solids --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Band theory of solids --- Conduction band --- Crystallography, Mathematical --- Electrons --- Exciton theory --- Molecules --- Wave mechanics --- Basic principles of physics --- 530.1 Basic principles of physics --- Théorie quantique des champs
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Starting from a rather elementary level, this volume includes a self-contained, concise introduction into the quantum theory of matter and develops in detail the quantum theory of light. It presents the approaches needed to cope with the various interaction processes between light and matter and illustrates them by various examples. Recent developments such as the dynamic Stark effect and quantum beats are also covered.
Light --- Lasers --- Nonlinear optics --- Quantum optics --- Lasers. --- Light. --- Nonlinear optics. --- Quantum optics. --- 535 --- 535 Optics --- Optics --- Electromagnetic waves --- Light sources --- Spectrum analysis --- 535.374 --- 535.374 Amplification of radiation by stimulated emission --- Amplification of radiation by stimulated emission --- Optics. Quantum optics --- Lumière --- Optique non linéaire --- Optique quantique --- Optica --- Lumière --- Optique non linéaire --- Optics, Nonlinear --- Lumière. --- Optique non linéaire. --- Optique quantique. --- Photons --- Quantum theory --- Lumière. --- Optique non linéaire.
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