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Engineering Mathematics II Algebraic, Stochastic and Analysis Structures for…
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. It addresses mathematical methods of algebra, applied matrix analysis, operator analysis, probability theory and stochastic processes, geome…
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- ISBN/ISSN
- 978-3-319-42105-6
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- 20 b/w illustrations, 26 illustrations in colour
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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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- 978-3-0348-0898-9
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- 516 SCR f
Engineering Computation of Structures: The Finite Element Method
This book presents theories and the main useful techniques of the Finite Element Method (FEM), with an introduction to FEM and many case studies of its use in engineering practice. It supports engineers and students to solve primarily linear problems in mechanical engineering, with a main focus on static and dynamic structural problems. Readers of this text are encouraged to discover the pro…
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- ISBN/ISSN
- 978-3-319-17710-6
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- XIII, 314
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Stochastic Partial Differential Equations: An Introduction
This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type. SPDEs are one of the main research directions in probability theory with several wide ranging applications. Many types of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. The theory of SPDEs is based both on the th…
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- 978-3-319-22354-4
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Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equations (SPDEs). This is accomplished via the concept of parameterizing manifolds (PMs), which are stochastic manifolds that improve, for a given realization of the noise, in mean square error the partial…
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- 978-3-319-12520-6
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Stochastic Optimization Methods
This book examines optimization problems that in practice involve random model parameters. It details the computation of robust optimal solutions, i.e., optimal solutions that are insensitive with respect to random parameter variations, where appropriate deterministic substitute problems are needed. Based on the probability distribution of the random data and using decision theoretical concepts…
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- 978-3-662-46214-0
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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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- 978-3-319-26911-5
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Stochastic Narrow Escape in Molecular and Cellular Biology
This book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical phys…
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- 978-1-4939-3103-3
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