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This book offers an introduction to the physics of nonlinear phenomena through two complementary approaches: bifurcation theory and catastrophe theory. Readers will be gradually introduced to the language and formalisms of nonlinear sciences, which constitute the framework to describe complex systems. The difficulty with complex systems is that their evolution cannot be fully predicted because of the interdependence and interactions between their different components. Starting with simple examples and working toward an increasing level of universalization, the work explores diverse scenarios of bifurcations and elementary catastrophes which characterize the qualitative behavior of nonlinear systems. The study of temporal evolution is undertaken using the equations that characterize stationary or oscillatory solutions, while spatial analysis introduces the fascinating problem of morphogenesis. Accessible to undergraduate university students in any discipline concerned with nonlinear phenomena (physics, mathematics, chemistry, geology, economy, etc.), this work provides a wealth of information for teachers and researchers in these various fields. Chaouqi Misbah is a senior researcher at the CNRS (National Centre of Scientific Research in France). His work spans from pattern formation in nonlinear science to complex fluids and biophysics. In 2002 he received a major award from the French Academy of Science for his achievements and in 2003 Grenoble University honoured him with a gold medal. Leader of a group of around 40 scientists, he is a member of the editorial board of the French Academy of Science since 2013 and also holds numerous national and international responsibilities.

Discrete mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Statistical physics --- General biophysics --- Applied physical engineering --- biofysica --- chaos --- toegepaste wiskunde --- grafentheorie --- theoretische fysica --- wiskunde --- ingenieurswetenschappen --- fysica --- dynamica --- Statistical physics. --- Physics. --- System theory. --- Biophysics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Mathematical Methods in Physics. --- Complex Systems. --- Biological and Medical Physics, Biophysics.

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With the exponential growth of program trading in the global financial industry, quantum finance and its underlying technologies have become one of the hottest topics in the fintech community. Numerous financial institutions and fund houses around the world require computer professionals with a basic understanding of quantum finance to develop intelligent financial systems. This book presents a selection of the author’s past 15 years’ R&D work and practical implementation of the Quantum Finance Forecast System – which integrates quantum field theory and related AI technologies to design and develop intelligent global financial forecast and quantum trading systems. The book consists of two parts: Part I discusses the basic concepts and theories of quantum finance and related AI technologies, including quantum field theory, quantum price fields, quantum price level modelling and quantum entanglement to predict major financial events. Part II then examines the current, ongoing R&D projects on the application of quantum finance technologies in intelligent real-time financial prediction and quantum trading systems. This book is both a textbook for undergraduate & masters level quantum finance, AI and fintech courses and a valuable resource for researchers and data scientists working in the field of quantum finance and intelligent financial systems. It is also of interest to professional traders/quants & independent investors who would like to grasp the basic concepts and theory of quantum finance, and more importantly how to adopt this fascinating technology to implement intelligent financial forecast and quantum trading systems. For system implementation, the interactive quantum finance programming labs listed on the Quantum Finance Forecast Centre official site (QFFC.org) enable readers to learn how to use quantum finance technologies presented in the book.

Economics --- Mathematics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Physics --- Programming --- Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- neuronale netwerken --- kennis --- fuzzy logic --- cybernetica --- applicatiebeheer --- apps --- statistiek --- wiskunde --- KI (kunstmatige intelligentie) --- fysica --- architectuur (informatica) --- AI (artificiële intelligentie) --- Financial engineering. --- Quantum field theory. --- Artificial intelligence. --- Economics, Mathematical . --- Computational intelligence. --- String theory. --- Statistical physics. --- Application software. --- Artificial Intelligence. --- Quantitative Finance. --- Computational Intelligence. --- Quantum Field Theories, String Theory. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Computer Applications. --- Economics, Mathematical. --- String models.