Matematik for ingeniører

This book presents the state of the art in High-Performance Computing on modern supercomputer architectures. It addresses trends in hardware and software development in general. The contributions cover a broad range of topics, from performance evaluations in context with power efficiency to Computational Fluid Dynamics and High-Performance Data Analytics. In addition, they explore new topics like the use of High-Performance Computers in the field of Artificial Intelligence and Machine Learning. All contributions are based on selected papers presented in 2021 at the 31st Workshop on Sustained Simulation Performance, WSSP31, held at HLRS in Stuttgart, Germany, and WSSP32, held at Tohoku University in Sendai, Japan.

This book covers the work of Erik W. Aslaksen who continues to develop the view of society and its evolution published in earlier work ¿ The Social Bond (Springer 2018), The Stability of Society (Springer 2020), and Measures of Social Evolution (Springer 2021), bringing together core material of that work with the results of recent investigations in order to present the evolution of society as an integrated and continuous story leading right up to the present time. A story of human action driven by our beliefs, desires, and an ideology arising out of our ability to transform and exploit our environment through the development and application of technology. The distinguishing feature of the work is the treatment of society as an information-processing system and applying the system methodology for handling complexity, as it is applied, e.g., in engineering. This focus on information is particularly pertinent in the current circumstances, where the world has arrived at a critical point in its history through the conjunction of a number of issues that appear to be spiralling out of control: Global warming and the associated climate change, the destruction of our environment through such processes as land clearing and industrialisation with associated loss of biodiversity, the rapidly increasing visibility of the inequality in the quality of life with associated tensions, and above all, the determination of the US-led Western alliance to cling to its hegemonial role, apparently at all cost. With the sophistication and proliferation of nuclear weapons, the latter has the potential to bring on the end of civilisation as we know it. The resolution of any of these issues depends on the information available to all parties involved, and hence, the availability and quality of information is seen as the crucial and overarching issue of the present time. A number of aspects of this issue, including the role of education, economic inequality, and the control of the media, aretreated in some detail, and proposals for some small steps in the right direction are put forward.

This book examines issues of improving the efficiency of the control technological parameters of textile materials through with computerized systems with the application of non-contact methods as only they allow to react quickly to changes of technological parameters during production. The original models, algorithms, software and hardware of the developed system for the control technological parameters of textile materials are presented. Also, the book presents new methods for measuring the technological parameters of textile materials, which do not need require taking into account the constant readjustment of the system to controlled samples of materials with different structure and porosity. The developed model of the computerized system allows contactless control of basis weight and porosity of fabrics in the course of their production. This book contains six chapters, for researchers, engineers, as well as lecturers and postgraduates of higher education institutions dealing with ultrasonic control engineering equipment.

This textbook offers a comprehensive coverage of the fundamentals of calculus, linear algebra and analytic geometry. Intended for bachelor¿s students in science, engineering, architecture, economics, the presentation is self-contained, and supported by numerous graphs, to facilitate visualization and also to stimulate readers¿ intuition. The proofs of the theorems are rigorous, yet presented in straightforward and comprehensive way. With a good balance between algebra, geometry and analysis, this book guides readers to apply the theory to solve differential equations. Many problems and solved exercises are included.Students are expected to gain a solid background and a versatile attitude towards calculus, algebra and geometry, which can be later used to acquire new skills in more advanced scientific disciplines, such as bioinformatics, process engineering, and finance. At the same time, instructors are provided with extensive information and inspiration for the preparationof their own courses.

Dieses essential behandelt die Verknüpfung von MicroPython betriebenen Mikrocontroller mit MATLAB®. Anhand eines Praxisbeispiels werden die Aspekte der Planung, der elektronischen Umsetzung, der Programmierung in MicroPython, die Programmierung in MATLAB® und die Erstellung einer graphischen Oberfläche handelt.

Die Wellengleichung besitzt vielseitige Anwendungen und reichhaltige Facetten. Diese müssen jedoch oft mühsam zusammengetragen werden. Mathematische Aspekte der Wellengleichung werden deshalb in diesem essential in einer Gesamtschau geschildert. Sämtliche mit der Wellengleichung verbundenen Anfangs- und Randwertprobleme werden einbezogen. Klassische Lösungsmethoden mitsamt ihren Querverbindungen werden vorgestellt. Die Methode der charakteristischen Parallelogramme wird durch den Einsatz der Diffenzengleichungen erweitert.

This book contains the papers presented at the XXXI International Congress INGEGRAF ¿Graphic Expression: reunion, reflection, representation,¿ held on June 29¿30 and July 1, 2021, in Málaga, Spain. It reports on cutting-edge topics in product design and manufacturing, such as industrial methods for integrated product and process design, innovative design and computer-aided design. Further topics covered include virtual simulation and reverse engineering, additive manufacturing, product manufacturing,engineering methods in medicine and education, representation techniques and nautical, engineering and construction, aeronautics and aerospace design and modeling. The book is divided into six main sections, reflecting the focus and primary themes of the conference. The contributions presented here provide researchers, engineers and experts in a range of industrial engineering subfields with extensive information to support their daily work; but also they are intended to stimulate new research directions, advanced applications of the methods discussed and future interdisciplinary collaborations.

Integrals and sums are not generally considered for evaluation using complex integration. This book proposes techniques that mainly use complex integration and are quite different from those in the existing texts. Such techniques, ostensibly taught in Complex Analysis courses to undergraduate students who have had two semesters of calculus, are usually limited to a very small set of problems.Few practitioners consider complex integration as a tool for computing difficult integrals. While there are a number of books on the market that provide tutorials on this subject, the existing texts in this field focus on real methods. Accordingly, this book offers an eye-opening experience for computation enthusiasts used to relying on clever substitutions and transformations to evaluate integrals and sums.The book is the result of nine years of providing solutions to difficult calculus problems on forums such as Math Stack Exchange or the author's website, residuetheorem.com.It serves to detail to the enthusiastic mathematics undergraduate, or the physics or engineering graduate student, the art and science of evaluating difficult integrals, sums, and products.

To enhance oil recovery many factores are involved like tempreture and pressure aswell as salinity of water to increase oil recovery we needs to inject water as an injection fluid if the viscosity of water is less than the oil, pleny of oil will by passed to have better sweep efficiency we need to add polymer like polyacrylamide to increase the viscosity of water that we needs to inject., albeit adding polymers has good impact on the viscosity of water, the tempreture of reservoir and pressur can complicate the situation of injection since polymers are not able to be sustainable at theses pressure and tempreture their chain will be destroying during this situation to settle these defects nano montmorilonit were added to fortify polyacrylamide to increase sustainability in this situation.

The book presents select proceedings of Global meet on 'Computational Modelling and Simulation, Recent Innovations, Challenges and Perspectives, 2020. This book covers leading-edge technologies from different domains such as computation in optimization and control, multiscale and multiphysics modeling and computation analysis, environmental modeling, modeling approaches to enterprise systems and services, finite element analysis, dependability and security, high-performance computation/cloud computing applications, computational biology and chemistry and computational mechanics. The primary goal of this book is to strengthen pre-eminence in computational modeling and simulation by catalyzing the transformative use of innovative developments in a wide range of disciplines to achieve lasting societal impact. The book discusses on how to perform simulation of large complex dynamic systems in an efficient manner using advanced computational analysis. The inter-disciplinary nature of the book would be a valuable reference for academicians and research scientists, industrialists interested in modelling and simulation driven by computational technology.

Dieses kompakte Mathematikbuch vermittelt den Studierenden Kenntnisse, die notwendig sind, um die Inhalte der Lehrbücher Elektrotechnik für Ingenieure 1 bis 3 zu verstehen. Selbstverständlich kann es auch von Studierenden anderer Fachrichtungen genutzt werden.

This book is a novel tutorial for research-oriented study of vibration mechanics. The book begins with twelve open problems from six case studies of vibration mechanics in order to guide readers in studying the entire book. Then, the book surveys both theories and methods of linear vibrations in an elementary course from a new perspective of aesthetics of science so as to assist readers to upgrade their way of learning. The successive chapters offer a theoretical frame of linear vibrations and waves, covering the models of vibration systems, the vibration analysis of discrete systems, the natural vibrations of one-dimensional structures, the natural vibrations of symmetric structures, and the waves and vibrations of one-dimensional structures. The chapters help readers solve the twelve open problems step by step during the research-oriented study.The book tries to arouse the interest of graduate students and professionals, who have learnt an elementary course of vibration mechanics of two credits, to conduct the research-oriented study and achieve a helical upgrade understanding to vibration mechanics.

Data Analysis in Pavement Engineering: Methodologies and Applications introduces the theories and methods as well as definitions, principles, and algorithms of data analysis applied in pavement and transportation infrastructure analysis, tests, maintenance, and operation. This book provides case studies that demonstrate how these methods can be applied to solve problems in pavement engineering. Through these real-life examples, readers can gain a better understanding of how to utilize these data analysis techniques effectively. Data Analysis in Pavement Engineering: Methodologies and Applications serves as a reference for engineers or a textbook for graduate and senior undergraduate students in disciplines related to transportation infrastructure.

The book contains selected research papers presented at the 2nd International Conference on Cyber-Physical Systems and Control (CPS&¿2021) which was held from 29 June to 2 July 2021 in St. Petersburg, Russia. The CPS&C¿2021 Conference continues the series of international conferences that began in 2019 when the first International Conference on Cyber-Physical Systems and Control (CPS&C¿2019) took place.Cyber-physical systems (CPSs) considered a modern and rapidly emerging generation of systems with integrated wide computational, information processing, and physical capabilities that can interact with humans through many new modalities and application areas of implementation.The book covers the latest advances, developments and achievements in new theories, algorithms, models, and applications of prospective problems associated with CPSs with an emphasis on control theory and related areas. The multidisciplinary fundamental scientific and engineeringprinciples that underpin the integration of cyber and physical elements across all application areas are discussed in the book chapters. The materials of the book may be of interest to scientists and engineers working in the field of cyber-physical systems, systems analysis, control systems, computer technologies, and similar fields.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the X International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2021). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks, and technological networks.