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# Advances in Mechanics and Mathematics

## Description

Mechanics and mathematics have been complementary partners since Newton’s time, and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications, the symbolic relationship between mathematics and mechanics is continually growing. Mechanics is understood here in the most general sense of the word, including, besides its standard interpretation, relevant physical, biological, and information theoretical phenomena, such as electromagnetic, thermal and quantum effects, bio- and nano-mechanics, information geometry, multiscale modelling, neural networks, computation, optimization and control of complex systems, etc. Topics with multi-disciplinary range, such as duality, complementarity, and symmetry in sciences and mathematics, are of particular interest.

Advances in Mechanics and Mathematics (AMMA) is a series intending to promote multidisciplinary study by providing a platform for the publication of interdisciplinary content with rapid dissemination of monographs, graduate texts, handbooks, and edited volumes, on the state-of-the-art research in the broad area of modern mechanics and applied mathematics. Contributions are aptly reviewed to guarantee high scientific standards. Monographs place an emphasis on creativity, novelty, and innovativeness in the field; handbooks and edited volumes provide comprehensive surveys of the state-of-the-art in particular subjects; graduate texts may feature a combination of exposition and computer/ multimedia, downloadable from the web.

The series is addressed to applied mathematicians, engineers, and scientists, including advanced students at universities and in industry.

Series EditorsDavid Gao (Federation University Australia)

Tudor Ratiu (Shanghai Jiao Tong University)

Editorial BoardAntony Bloch (University of Michigan, abloch@umich.edu)Dynamical systems, control theory, optimization John Gough (Aberystwyth University, jug@aber.ac.uk) Quantum Structures, Information & Control Darryl D. Holm (Imperial College London, d.holm@imperial.ac.uk) Stochastic mechanics, fluid dynamics, Mathematics of Planet Earth Peter Olver (University of Minnesota, olver@umn.edu) Symmetry and Lie groups, partial differential equations, calculus of variations, integrable systems, elasticity, quantum mechanics, computer vision, differential geometry, invariant theory, geometric numerical methodsJuan-Pablo Ortega (University of St. Gallen and CNRS, juan-pablo.ortega@unisg.ch)Geometric mechanics, machine learning, high-dimensional statistical modeling, reservoir computing Genevieve Raugel (CNRS and Univ. Paris-Sud, Orsay, genevieve.raugel@math.u-psud.fr)Nonlinear analysis, hydrodynamics, dynamical systems Jan Philip Solovej (University of Copenhagen, pst562@ku.dk)Quantum mechanics, mathematical physicsMichael Zgurovsky (Igor Sikorsky Kyiv Polytechnic Institute, Ukraine, zgurovsm@hotmail.com)Nonlinear analysis, system analysis, system mathematics Jun Zhang (U. Michigan, junz@umich.edu) Cognition & Cognitive Neuroscience, Machine Learning Artificial Intelligence Enrique Zuazua (Universidad Autónoma de Madrid and DeustoTech, Bilbao, enrique.zuazua@deusto.es) Nonlinear PDEs, control theory, numerical analysis

**39**
Volumes
from
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2002
–
2018
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