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Engineering Mathematics I Electromagnetics, Fluid Mechanics, Material Physic…
This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis …
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- ISBN/ISSN
- 978-3-319-42082-0
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- 68 b/w illustrations, 67 illustrations in colour
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5000 Years of Geometry: Mathematics in History and Culture
The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with arch…
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- ISBN/ISSN
- 978-3-0348-0898-9
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- 516 SCR f
Stochastic Non-Excitable Systems with Time Delay
Paul M. Geffert analyses the interplay of noise and time delay in non-excitable nonlinear systems and the modulation of stochastic effects. In particular, the author studies coherence resonance, which is a constructive effect of noise that occurs in nonlinear systems, and demonstrates that it can be modulated by time-delayed feedback. Analytical methods for the investigation of stochastic delay…
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- 978-3-658-09295-5
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Stochastic Neuron Models
This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these p…
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- ISBN/ISSN
- 978-3-319-26911-5
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Engineering Applications of Computational Fluid Dynamics
This volume presents the results of Computational Fluid Dynamics (CFD) analysis that can be used for conceptual studies of product design, detail product development, process troubleshooting. It demonstrates the benefit of CFD modeling as a cost saving, timely, safe and easy to scale-up methodology.
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- ISBN/ISSN
- 978-3-319-02836-1
- Collation
- 42 b/w illustrations, 66 illustrations in colour
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Nonlinear Mathematical Physics and Natural Hazards
This book is devoted to current advances in the field of nonlinear mathematical physics and modeling of critical phenomena that can lead to catastrophic events. Pursuing a multidisciplinary approach, it gathers the work of scientists who are developing mathematical and computational methods for the study and analysis of nonlinear phenomena and who are working actively to apply these tools and c…
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- 1
- ISBN/ISSN
- 0930-8989
- Collation
- XXVI, 141
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- Springer Proceedings in Physics
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Non-equilibrium Dynamics of One-Dimensional Bose Gases
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence …
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- 1
- ISBN/ISSN
- 978-3-319-38700-0
- Collation
- XV, 146
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- Springer Theses
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Stochastic Equations for Complex Systems
The purpose of these notes is to provide an introduction to the Malliavin calculus and its recent application to quantitative results in normal approximations, in combination with Stein’s method. The basic differential operators of the Malliavin calculus and their main properties are presented. We explain the connection of these operators with the Wiener chaos expansion and the Ornstein-Uh…
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- 978-3-319-18206-3
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Stochastic Dynamics of Crystal Defects
The state of a deformed crystal is highly heterogeneous, with plasticity localised into linear and point defects such as dislocations, vacancies and interstitial clusters. The motion of these defects dictate a crystal’s mechanical behaviour, but defect dynamics are complicated and correlated by external applied stresses, internal elastic interactions and the fundamentally stochastic influ…
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- 978-3-319-20019-4
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Theory of Transformation Groups I
This modern translation of Sophus Lie's and Friedrich Engel's “Theorie der Transformationsgruppen I” will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I presents a comprehensive introduction to the theory and is mainly directed towards the generalization of ideas drawn from the study of example…
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- ISBN/ISSN
- 978-3-662-46211-9
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- 7 illustrations in colour
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