Christian Friedrichs's Books

Mathematics of Quantization and Quantum Fields

By: Jan Dereziński,Christian Gérard

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Mathematics of Quantization and Quantum Fields

By: Jan Dereziński,Christian Gérard

This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.

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689

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Cambridge University Press

Published Date

ISBN 10

1009290827

ISBN 13

9781009290821

Introduction to Reticular Chemistry

Metal-Organic Frameworks and Covalent Organic Frameworks

By: Omar M. Yaghi,Markus J. Kalmutzki,Christian S. Diercks

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Introduction to Reticular Chemistry

Metal-Organic Frameworks and Covalent Organic Frameworks

By: Omar M. Yaghi,Markus J. Kalmutzki,Christian S. Diercks

A concise introduction to the chemistry and design principles behind important metal-organic frameworks and related porous materials Reticular chemistry has been applied to synthesize new classes of porous materials that are successfully used for myraid applications in areas such as gas separation, catalysis, energy, and electronics. Introduction to Reticular Chemistry gives an unique overview of the principles of the chemistry behind metal-organic frameworks (MOFs), covalent organic frameworks (COFs), and zeolitic imidazolate frameworks (ZIFs). Written by one of the pioneers in the field, this book covers all important aspects of reticular chemistry, including design and synthesis, properties and characterization, as well as current and future applications Designed to be an accessible resource, the book is written in an easy-to-understand style. It includes an extensive bibliography, and offers figures and videos of crystal structures that are available as an electronic supplement. Introduction to Reticular Chemistry: -Describes the underlying principles and design elements for the synthesis of important metal-organic frameworks (MOFs) and related materials -Discusses both real-life and future applications in various fields, such as clean energy and water adsorption -Offers all graphic material on a companion website -Provides first-hand knowledge by Omar Yaghi, one of the pioneers in the field, and his team. Aimed at graduate students in chemistry, structural chemists, inorganic chemists, organic chemists, catalytic chemists, and others, Introduction to Reticular Chemistry is a groundbreaking book that explores the chemistry principles and applications of MOFs, COFs, and ZIFs.

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553

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527821082

ISBN 13

9783527821082

Evolutionary Equations

Picard's Theorem for Partial Differential Equations, and Applications

By: Christian Seifert

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Evolutionary Equations

Picard's Theorem for Partial Differential Equations, and Applications

By: Christian Seifert

This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be recovered in an elegant manner. Moreover, the strength of this method is demonstrated by a large variety of examples, showing the applicability of the approach of evolutionary equations in various fields. Additionally, a quantitative theory for evolutionary equations is developed. The text is self-contained, providing an excellent source for a first study on evolutionary equations and a decent guide to the available literature on this subject, thus bridging the gap to state-of-the-art mathematical research.

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321

Publisher

Springer Nature

Published Date

ISBN 10

3030893979

ISBN 13

9783030893972

Numerical Treatment of Partial Differential Equations

By: Christian Grossmann,Hans-Görg Roos,Martin Stynes

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Numerical Treatment of Partial Differential Equations

By: Christian Grossmann,Hans-Görg Roos,Martin Stynes

This book deals with discretization techniques for partial differential equations of elliptic, parabolic and hyperbolic type. It provides an introduction to the main principles of discretization and gives a presentation of the ideas and analysis of advanced numerical methods in the area. The book is mainly dedicated to finite element methods, but it also discusses difference methods and finite volume techniques. Coverage offers analytical tools, properties of discretization techniques and hints to algorithmic aspects. It also guides readers to current developments in research.

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601

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Springer Science & Business Media

Published Date

ISBN 10

3540715843

ISBN 13

9783540715849

Contesting the City

The Politics of Citizenship in English Towns, 1250 - 1530

By: Christian D. Liddy

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Contesting the City

The Politics of Citizenship in English Towns, 1250 - 1530

By: Christian D. Liddy

The political narrative of late medieval English towns is often reduced to the story of the gradual intensification of oligarchy, in which power was exercised and projected by an ever smaller ruling group over an increasingly subservient urban population. Contesting the City takes its inspiration not from English historiography, but from a more dynamic continental scholarship on towns in the southern Low Countries, Germany, and France. Its premise is that scholarly debate about urban oligarchy has obscured contemporary debate about urban citizenship. It identifies from the records of English towns a tradition of urban citizenship, which did not draw upon the intellectual legacy of classical models of the 'citizen'. This was a vernacular citizenship, which was not peculiar to England, but which was present elsewhere in late medieval Europe. It was a citizenship that was defined and created through action. There were multiple, and divergent, ideas about citizenship, which encouraged townspeople to make demands, to assert rights, and to resist authority. This volume exploits the rich archival sources of the five major towns in England - Bristol, Coventry, London, Norwich, and York - in order to present a new picture of town government and urban politics over three centuries. The power of urban governors was much more precarious than historians have imagined. Urban oligarchy could never prevail - whether ideologically or in practice - when there was never a single, fixed meaning of the citizen.

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288

Publisher

Oxford University Press

Published Date

ISBN 10

019101527X

ISBN 13

9780191015274

Wave Phenomena

Mathematical Analysis and Numerical Approximation

By: Willy Dörfler,Marlis Hochbruck,Jonas Köhler,Andreas Rieder,Roland Schnaubelt,Christian Wieners

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Wave Phenomena

Mathematical Analysis and Numerical Approximation

By: Willy Dörfler,Marlis Hochbruck,Jonas Köhler,Andreas Rieder,Roland Schnaubelt,Christian Wieners

This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

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368

Publisher

Springer Nature

Published Date

ISBN 10

3031057937

ISBN 13

9783031057939

International Practice Theory

By: Christian Bueger,Frank Gadinger

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International Practice Theory

By: Christian Bueger,Frank Gadinger

International Practice Theory is the definitive introduction to the practice turn in world politics, providing an accessible, up-to-date guide to the approaches, concepts, methodologies and methods of the subject. Situating the study of practices in contemporary theory and reviewing approaches ranging from Bourdieu’s praxeology and communities of practice to actor-network theory and pragmatic sociology, it documents how they can be used to study international practices empirically. The book features a discussion of how scholars can navigate ontological challenges such as order and change, micro and macro, bodies and objects, and power and critique. Interpreting practice theory as a methodological orientation, it also provides an essential guide for the design, execution and drafting of a praxiographic study.

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221

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Springer

Published Date

ISBN 10

3319733508

ISBN 13

9783319733500

The $mathscr {P}(varphi )_2$ Model on de Sitter Space

By: João C. A. Barata,Christian D. Jäkel,Jens Mund

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The $mathscr {P}(varphi )_2$ Model on de Sitter Space

By: João C. A. Barata,Christian D. Jäkel,Jens Mund

View the abstract.

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282

Publisher

American Mathematical Society

Published Date

ISBN 10

147045548X

ISBN 13

9781470455484

Cleansing the Fatherland

Nazi Medicine and Racial Hygiene

By: Götz Aly,Peter Chroust,Christian Pross

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Cleansing the Fatherland

Nazi Medicine and Racial Hygiene

By: Götz Aly,Peter Chroust,Christian Pross

Against this background, Cleansing the Fatherland sends a stark message that is difficult to ignore.

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320

Publisher

JHU Press

Published Date

ISBN 10

0801848245

ISBN 13

9780801848247

PDE Dynamics

An Introduction

By: Christian Kuehn

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PDE Dynamics

An Introduction

By: Christian Kuehn

This book provides an overview of the myriad methods for applying dynamical systems techniques to PDEs and highlights the impact of PDE methods on dynamical systems. Also included are many nonlinear evolution equations, which have been benchmark models across the sciences, and examples and techniques to strengthen preparation for research. PDE Dynamics: An Introduction is intended for senior undergraduate students, beginning graduate students, and researchers in applied mathematics, theoretical physics, and adjacent disciplines. Structured as a textbook or seminar reference, it can be used in courses titled Dynamics of PDEs, PDEs 2, Dynamical Systems 2, Evolution Equations, or Infinite-Dimensional Dynamics.

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260

Publisher

SIAM

Published Date

ISBN 10

1611975662

ISBN 13

9781611975666

Social Return on Investment Analysis

Measuring the Impact of Social Investment

By: Volker Then,Christian Schober,Olivia Rauscher,Konstantin Kehl

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Social Return on Investment Analysis

Measuring the Impact of Social Investment

By: Volker Then,Christian Schober,Olivia Rauscher,Konstantin Kehl

This book introduces and explains how to conduct a Social Return on Investment (SROI) analysis. It discusses the various advantages and disadvantages of different research strategies and designs, and explores the different ways in which SROI analysis results can be used for communication, outreach, and strategic decision-making. It provides insights into how and to what extent SROI analyses can help to meet different expectations, and presents different social impact research designs and methods. It presents an analytical framework for the identification of a proper SROI analysis, and shows readers how to establish an impact model, introducing a stakeholder-based approach.

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421

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Springer

Published Date

ISBN 10

3319714015

ISBN 13

9783319714011

The Rough Guide to Germany

By: Neville Walker,James Stewart,Christian Williams

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The Rough Guide to Germany

By: Neville Walker,James Stewart,Christian Williams

Gives facts, history, and data on Germany, and provides information on accommodations, restaurants, sights, walks, and drives.

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933

Publisher

Penguin

Published Date

ISBN 10

1848360169

ISBN 13

9781848360167

Simulation of Additive Manufacturing using Meshfree Methods

With Focus on Requirements for an Accurate Solution

By: Christian Weißenfels

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Simulation of Additive Manufacturing using Meshfree Methods

With Focus on Requirements for an Accurate Solution

By: Christian Weißenfels

This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.

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207

Publisher

Springer Nature

Published Date

ISBN 10

3030873374

ISBN 13

9783030873370

European Internal Security

Towards supranational governance in the area of freedom, security and justice

By: Christian Kaunert

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European Internal Security

Towards supranational governance in the area of freedom, security and justice

By: Christian Kaunert

European institutions are either loathed or underestimated. This book analyses the role of EU institutions in the area of European internal security. From Justice and Home Affairs, this area has become more like a European Area of Freedom, Security and Justice. In this process, the European Commission has demonstrably played the role of an `engine of integration' in areas such a counter-terrorism, policing, asylum, migration and border management. This book uses the framework of supranational policy entrepeuners (SPE), those who stand at the policy window in order to propose, lobby for and sell `their' policy proposal, and synthesises it with insights from the literature on norm entrepreneurship. This book will be of great interest to scholars and practitioners interested in European internal security, European integration, terrorism, security studies and international relations.

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282

Publisher

Manchester University Press

Published Date

ISBN 10

1526130939

ISBN 13

9781526130938

Mathematical Problems in Semiconductor Physics

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 15-22, 1998

By: Angelo Marcello Anile,Walter Allegretto,Christian Ringhofer

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Mathematical Problems in Semiconductor Physics

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 15-22, 1998

By: Angelo Marcello Anile,Walter Allegretto,Christian Ringhofer

On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.

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164

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540408029

ISBN 13

9783540408024

Geometric Theory of Discrete Nonautonomous Dynamical Systems

By: Christian Pötzsche

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Geometric Theory of Discrete Nonautonomous Dynamical Systems

By: Christian Pötzsche

Nonautonomous dynamical systems provide a mathematical framework for temporally changing phenomena, where the law of evolution varies in time due to seasonal, modulation, controlling or even random effects. Our goal is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes). These dynamical systems are generated by implicit difference equations, which explicitly depend on time. Compactness and dissipativity conditions are provided for such problems in order to have attractors using the natural concept of pullback convergence. Concerning a necessary linear theory, our hyperbolicity concept is based on exponential dichotomies and splittings. This concept is in turn used to construct nonautonomous invariant manifolds, so-called fiber bundles, and deduce linearization theorems. The results are illustrated using temporal and full discretizations of evolutionary differential equations.

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422

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Springer

Published Date

ISBN 10

3642142583

ISBN 13

9783642142581

Adaptive Finite Elements in the Discretization of Parabolic Problems

By: Christian A. Möller

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Adaptive Finite Elements in the Discretization of Parabolic Problems

By: Christian A. Möller

Adaptivity is a crucial tool in state-of-the-art scientific computing. However, its theoretical foundations are only understood partially and are subject of current research. This self-contained work provides theoretical basics on partial differential equations and finite element discretizations before focusing on adaptive finite element methods for time dependent problems. In this context, aspects of temporal adaptivity and error control are considered in particular. Based on the gained insights, a specific adaptive algorithm is designed and analyzed thoroughly. Most importantly, it is proven that the presented adaptive method terminates within any demanded error tolerance. Moreover, the developed algorithm is analyzed from a numerical point of view and its performance is compared to well-known standard methods. Finally, it is applied to the real-life problem of concrete carbonation, where two different discretizations are compared.

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259

Publisher

Logos Verlag Berlin GmbH

Published Date

ISBN 10

3832528156

ISBN 13

9783832528157

Vascular Biomechanics

Concepts, Models, and Applications

By: T. Christian Gasser

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Vascular Biomechanics

Concepts, Models, and Applications

By: T. Christian Gasser

This textbook serves as a modern introduction to vascular biomechanics and provides the comprehensive overview of the entire vascular system that is needed to run successful vascular biomechanics simulations. It aims to provide the reader with a holistic analysis of the vascular system towards its biomechanical description and includes numerous fully through-calculated examples. Various topics covered include vascular system descriptions, vascular exchange, blood vessel mechanics, vessel tissue characterization, blood flow mechanics, and vascular tissue growth and remodeling. This textbook is ideally suited for students and researchers studying and working in classical and computational vascular biomechanics. The book could also be of interest to developers of vascular devices and experts working with the regulatory approval of biomedical simulations. Follows the principle of “learning by doing” and provides numerous fully through-calculated examples for active learning, immediate recall, and self-examination; Provides a holistic understanding of vascular functioning and the integration of information from different disciplines to enable students to use sophisticated numerical methods to simulate the response of the vascular system; Includes several case studies that integrate the presented material. Case studies address problems, such as the biomechanical rupture risk assessment of Abdominal Aortic Aneurysms, Finite Element analysis of structural and blood flow problems, the computation of wall stress and wall shear stress in the aorta.

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622

Publisher

Springer Nature

Published Date

ISBN 10

3030709663

ISBN 13

9783030709662

Performance of Bio-based Building Materials

By: Dennis Jones,Christian Brischke

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Performance of Bio-based Building Materials

By: Dennis Jones,Christian Brischke

Performance of Bio-based Building Materials provides guidance on the use of bio-based building materials (BBBM) with respect to their performance. The book focuses on BBBM currently present on the European market. The state-of-the-art is presented regarding material properties, recommended uses, performance expectancies, testing methodology, and related standards. Chapters cover both 'old and traditional' BBBM since quite a few of them are experiencing a comeback on the market. Promising developments that could become commercial in the near future are presented as well. The book will be a valuable reference resource for those working in the bio-based materials research community, architects and agencies dealing with sustainable construction, and graduate students in civil engineering. - Takes a unique approach to bio-based materials and presents a broad overview of the topics on relevant areas necessary for application and promotion in construction - Contains a general description, notable properties related to performance, and applications - Presents standards that are structured according to performance types

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652

Publisher

Woodhead Publishing

Published Date

ISBN 10

0081009925

ISBN 13

9780081009925

Cultural Encounters at Cape Farewell

The East Greenlandic Immigrants and the German Moravian Mission in the 19th Century

By: Einar Lund Jensen,Kristine Raahauge,Hans Christian Gulløv

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Cultural Encounters at Cape Farewell

The East Greenlandic Immigrants and the German Moravian Mission in the 19th Century

By: Einar Lund Jensen,Kristine Raahauge,Hans Christian Gulløv

This volume offers a comprehensive account of the cultural history of Greenland's Cape Farewell region in the 19th century. The dominating factor was the immigration of people to the area from southeast Greenland. There are no written sources originating from these immigrants, as they could neither read nor write, so the descriptions presented are primarily based on material from the Danish colonial authorities and the German Moravian mission. Although one-sided and reflecting a European view and conception of the world, the sources contain valuable information which, when pieced together, give a clear picture of immigration to the Cape Farewell area at the time, and of the society which arose in the wake of this immigration, not least of the impending struggle for the souls of the unbaptized East Greenlanders and also for their contribution to colonial trade in the 19th century. The volume includes accounts of the immigrants themselves which have been passed down from generation to ge

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342

Publisher

Museum Tusculanum Press

Published Date

ISBN 10

8763531658

ISBN 13

9788763531658

Aerodynamics of Road Vehicles

By: Thomas Christian Schuetz

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Aerodynamics of Road Vehicles

By: Thomas Christian Schuetz

The detailed presentation of fundamental aerodynamics principles that influence and improve vehicle design have made Aerodynamics of Road Vehicles the engineer’s “source” for information. This fifth edition features updated and expanded information beyond that which was presented in previous releases. Completely new content covers lateral stability, safety and comfort, wind noise, high performance vehicles, helmets, engine cooling, and computational fluid dynamics. A proven, successful engineering design approach is presented that includes: • Fundamentals of fluid mechanics related to vehicle aerodynamics • Essential experimental results that are the ground rules of fluid mechanics • Design strategies for individual experimental results • General design solutions from combined experimental results The aerodynamics of passenger cars, commercial vehicles, motorcycles, sports cars, and race cars is dealt with in detail, inclusive of systems, testing techniques, measuring and numerical aerodynamics methods and simulations that significantly contribute to vehicle development. Aerodynamics of Road Vehicles is an excellent reference tool and an indispensable source for the industry’s vehicle engineers, designers, and researchers, as well as for enthusiasts, students, and those working in academia or government regulatory agencies.

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1312

Publisher

SAE International

Published Date

ISBN 10

0768082536

ISBN 13

9780768082531

Application of coupled CFD-DEM simulation to separation process in combine harvester cleaning devices

By: Christian Korn

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Application of coupled CFD-DEM simulation to separation process in combine harvester cleaning devices

By: Christian Korn

This book discusses the application of the coupled CFD-DEM approach for simulating the separation of grain and material other than grain in combine harvester cleaning devices. Based on a literature study, it describes the most important influencing factors and presents a database for particle parameterization. It investigates the separation process in two steps with differing levels of process abstraction. The first step involves numerical separation in a vertically oscillating box with airflow, and in the context of a sensitivity study, investigates the effect of selected material, contact and operating parameters on the target variables’ separation time and grain purity. In the second step, the numerical separation process was performed in a 200 mm wide segment of a combine harvester cleaning device. The numerical results were then compared with experimental investigations in order to confirm the method’s applicability.

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211

Publisher

Springer Nature

Published Date

ISBN 10

3662616386

ISBN 13

9783662616383

Henri Lefebvre and the Theory of the Production of Space

By: Christian Schmid

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Henri Lefebvre and the Theory of the Production of Space

By: Christian Schmid

Henri Lefebvre’s was the major theorist of space and of the urban. This is the definitive book on Lefebvre. This book presents an encompassing, detailed and thorough overview and reconstruction of Lefebvre’s theory of space and of the urban. Henri Lefebvre belongs to the generation of the great French intellectuals and philosophers, together with his contemporaries Michel Foucault and Jean-Paul Sartre. His theory has experienced a remarkable revival over the last two decades, and is discussed and applied today in many disciplines in humanities and social sciences, particularly in urban studies, geography, urban sociology, urban anthropology, architecture and planning. Lefebvre, together with David Harvey, is one of the leading and most read theoreticians in these fields. This book explains in an accessible way the theoretical and epistemological context of this work in French philosophy and in the German dialectic (Hegel, Marx, and Nietzsche), and reconstructs in detail the historical development of its different elements. It also gives an overview on the receptions of Lefebvre and discusses a wide range of applications of this theory in many research fields, such as urban and regional development, urbanization, urbanity, social space, and everyday life.

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609

Publisher

Verso Books

Published Date

ISBN 10

1786637022

ISBN 13

9781786637024

Inverse Magnetometry

Mollifier Magnetization Distribution from Geomagnetic Field Data

By: Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner

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Inverse Magnetometry

Mollifier Magnetization Distribution from Geomagnetic Field Data

By: Christian Blick,Willi Freeden,M. Zuhair Nashed,Helga Nutz,Michael Schreiner

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration. First, an insight into the current state of research is given by reducing magnetometry to mathematically accessible, and thus calculable, decorrelated models. In this way, various questions and problems of magnetometry are made available to a broad scientific audience and the exploration industry. New stimuli are given, and innovative ways of modeling geologic strata by mollifier magnetometric techniques are shown. Potential data sets primarily of terrestrial origin constitute the main data basis in the book. For deep geology, the geomathematical decorrelation methods are designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Overall, this book provides pioneering and ground-breaking innovative mathematical knowledge as a transfer methodology from the “reality space” of magnetometric measurements into the “virtual space” of mathematical-numerical modeling structures and mollifier solutions with novel geological application areas. It pursues a double goal: On the one hand, it represents a geoscientific set of rules for today's geoengineering, interested in the application of innovative modelling and simulation techniques to promising data sets and structures occurring in geomagnetics. On the other hand, the book serves as a collection of current material in Applied Mathematics to offer alternative methodologies in the theory of inverse problems.

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114

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Springer Nature

Published Date

ISBN 10

303079508X

ISBN 13

9783030795085

The Rough Guide to Berlin

By: Christian Williams

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The Rough Guide to Berlin

By: Christian Williams

The Rough Guide to Berlin is the definitive guide to this extraordinary city with its fascinating historical sites, world-class museums, cutting edge galleries and architecture and pulsating nightlife. It will guide you through Germany's capital with reliable information and a clearly explained background on everything from the enduring Reichstag to eastern Berlin's cultural scene. Whether you're looking for great places to eat and drink or inspiring accommodation and the most exciting places to party, you'll find the solution. Accurate maps and comprehensive practical information help you get under the skin of this dynamic city, whilst stunning photography make The Rough Guide to Berlin your ultimate travelling companion. Make the most of your trip with The Rough Guide to Berlin. Now available in epub format.

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439

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Rough Guides UK

Published Date

ISBN 10

1405388390

ISBN 13

9781405388399

Integral Methods in Science and Engineering

By: Christian Constanda

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Integral Methods in Science and Engineering

By: Christian Constanda

Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.

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268

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CRC Press

Published Date

ISBN 10

0582239214

ISBN 13

9780582239210

Mathematical Modelling of the Human Cardiovascular System

Data, Numerical Approximation, Clinical Applications

By: Alfio Quarteroni,Luca Dede',Andrea Manzoni,Christian Vergara

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Mathematical Modelling of the Human Cardiovascular System

Data, Numerical Approximation, Clinical Applications

By: Alfio Quarteroni,Luca Dede',Andrea Manzoni,Christian Vergara

Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.

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291

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Cambridge University Press

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ISBN 10

1108570534

ISBN 13

9781108570534

Visualization and Mathematics

Experiments, Simulations and Environnements

By: Hans-Christian Hege,Konrad Polthier

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Visualization and Mathematics

Experiments, Simulations and Environnements

By: Hans-Christian Hege,Konrad Polthier

Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields. In some areas of mathematics, like differential geometry and numerical mathematics, visualization techniques are applied with great success. However, visualization methods are relying heavily on mathematical concepts.Applications of visualization in mathematical research and the use of mathematical methods in visualization have been topic of an international workshop in Berlin in June 1995. Selected contributions treat topics of particular interest in current research. Experts are reporting on their latest work, giving an overview on this fascinating new area. The reader will get insight to state-of-the-art techniques for solving visualization problems and mathematical questions.

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416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540612696

ISBN 13

9783540612698

Book's by Christian Friedrichs

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