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Chaos and Coarse Graining in Statistical Mechanics
Chaos and Coarse Graining in Statistical Mechanics
While statistical mechanics describe the equilibrium state of systems with many degrees of freedom, and dynamical systems explain the irregular evolution of systems with few degrees of freedom, new tools are needed to study the evolution of systems with many degrees of freedom. This book presents the basic aspects of chaotic systems, with emphasis...
Metamaterials: Theory, Design, and Applications
Metamaterials: Theory, Design, and Applications

Metamaterials:Theory, Design, and Applications goes beyond left-handed materials (LHM) or negative index materials (NIM) and focuses on recent research activity. Included here is an introduction to optical transformation theory, revealing invisible cloaks, EM concentrators, beam splitters, and new-type antennas, a presentation of general...

Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications)
Combinatorics, Automata and Number Theory (Encyclopedia of Mathematics and its Applications)

This collaborative volume presents recent trends arising from the fruitful interaction between the themes of combinatorics on words, automata and formal language theory, and number theory. Presenting several important tools and concepts, the authors also reveal some of the exciting and important relationships that exist between these...

Differential Equations: Theory and Applications
Differential Equations: Theory and Applications

This new edition provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way (emphasis on the theory with the computer component as optional) or in a more applied way (emphasis...

Chaos and Fractals: An Elementary Introduction
Chaos and Fractals: An Elementary Introduction

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated...

Ocean Modelling for Beginners: Using Open-Source Software
Ocean Modelling for Beginners: Using Open-Source Software

The book gives an introduction to computer-based modelling of oceanic processes. It is the first of its kind and contains over twenty practical exercises, using freely available Open-Source software, and covers a wide range of topics from long surface waves, geostrophic flows, through to the general wind-driven circulation including western...

Neural Networks and Pattern Recognition
Neural Networks and Pattern Recognition
This book is one of the most up-to-date and cutting-edge texts available on the rapidly growing application area of neural networks. Neural Networks and Pattern Recognition focuses on the use of neural networksin pattern recognition, a very important application area for neural networks technology. The contributors are widely known...
Adaptive Networks: Theory, Models and Applications (Understanding Complex Systems)
Adaptive Networks: Theory, Models and Applications (Understanding Complex Systems)
With adaptive, complex networks, the evolution of the network topology and the dynamical processes on the network are equally important and often fundamentally entangled. Recent research has shown that such networks can exhibit a plethora of new phenomena which are ultimately required to describe many real-world networks. Some of those phenomena...
Mind Design II: Philosophy, Psychology, and Artificial Intelligence
Mind Design II: Philosophy, Psychology, and Artificial Intelligence
"Ming Design II is a welcome update of its predecessor, itself a useful compendium on the philosophy of cognitive science. This new volume retains the intellectual foundations, and some discussions of classical AI built on them, while adding connectionism, situated AI, and dynamic systems theory as extra storeys. Which of these is...
Time: From Earth Rotation to Atomic Physics
Time: From Earth Rotation to Atomic Physics

Everyday use of time in one form or another is a common experience for everyone throughout their lives. The availability of a means to measure the passage of time with the required accuracy is taken for granted. However, the concepts on which those time scales are based and the requirements for accuracy in many applications can be both...

Probabilistic Graphical Models: Principles and Techniques (Adaptive Computation and Machine Learning series)
Probabilistic Graphical Models: Principles and Techniques (Adaptive Computation and Machine Learning series)

Most tasks require a person or an automated system to reason--to reach conclusions based on available information. The framework of probabilistic graphical models, presented in this book, provides a general approach for this task. The approach is model-based, allowing interpretable models to be constructed and then manipulated by reasoning...

Guided Self-Organization: Inception (Emergence, Complexity and Computation)
Guided Self-Organization: Inception (Emergence, Complexity and Computation)

Is it possible to guide the process of self-organisation towards specific patterns and outcomes? Wouldn’t this be self-contradictory? After all, a self-organising process assumes a transition into a more organised form, or towards a more structured functionality, in the absence of centralised control. Then...

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