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Differential & integral equations involve important mathematical techniques, & as such will be encountered by mathematicians, & physical & social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- & second- order ordinary & partial differential equations.
Differential equations. --- Integral equations. --- Equations, Integral --- Functional equations --- Functional analysis --- 517.91 Differential equations --- Differential equations
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The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a mathematical nature or a real-world examples, are fully solved, and the solution logic and flow are explained. Even advanced topics are presented in the same undergraduate-friendly style as the rest of the textbook. Completely optional interactive laboratory-type software is included with the textbook.
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"Energy systems are encountered in daily life, whether through smartphones, laptops or cordless tools. Cars using fossil fuels are being replaced with electric and battery powered drives, and storage solutions are being implemented to better integrate renewable energies into the grid. Energy Storage Systems introduces the different storage technologies available today. It begins with mechanical and electrical storage and describes in detail electrochemical storage technologies such as lead and lithium-ion batteries. However, this book aims to explain not only what storage technologies exist but also how these storage technologies are applied in storage systems. Therefore, this book provides a short introduction to requirements management and system engineering to explain how storage systems are designed. Furthermore, the book explains the most important power conversion techniques. The technologies presented are applied in many application examples throughout the book and range from solar power storage systems to battery supported mobile phone masts and commercial vehicles equipped with a hybrid drive system."
Energy storage --- Storage of energy --- Force and energy --- Power (Mechanics) --- Flywheels --- Pulsed power systems --- 620.91 --- 620.91 Energy resources in general. Natural sources of energy --- Energy resources in general. Natural sources of energy --- Energy storage. --- Énergie --- Stockage --- stockage.
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This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.
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Dieses Open-Access-Buch behandelt für eine breite Klasse zweidimensionaler Variationsprobleme eine Existenz- und Regularitätstheorie, die der Lösung von Randwertproblemen partieller Differentialgleichungssysteme dient. Dabei werden bekannte Ergebnisse gründlich untersucht und umfassend aufgearbeitet. Teilweise wird eine geeignete Anpassung der Voraussetzungen einiger Resultate vorgenommen. Speziell wird die Theorie auf das Plateausche Problem für Flächen vorgeschriebener mittlerer Krümmung im ℝ³ angewendet. Der Autor Andreas Künnemann ist wissenschaftlicher Mitarbeiter am Institut für Mathematik der Brandenburgischen Technischen Universität Cottbus-Senftenberg. Seine Forschungsinteressen sind Lösbarkeits- und Regularitätsfragen partieller Differentialgleichungen sowie die damit verbundenen Theorien der Funktionalanalysis, Variationsrechnung und Funktionentheorie.
Mathematical analysis. --- Differential equations. --- Analysis. --- Differential Equations. --- 517.91 Differential equations --- Differential equations --- 517.1 Mathematical analysis --- Mathematical analysis
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This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. Ordinary differential equations (ODEs) provide a strong mathematical tool to express a wide variety of phenomena in science and engineering. Along with its own significance, one of the powerful directions toward which ODEs extend is to incorporate an unknown function with delayed argument. This is called delay differential equations (DDEs), which often appear in mathematical modelling of biology, demography, epidemiology, and control theory. In some cases, the solution of a differential equation can be obtained by algebraic combinations of known mathematical functions. In many practical cases, however, such a solution is quite difficult or unavailable, and numerical approximations are called for. Modern development of computers accelerates the situation and, moreover, launches more possibilities of numerical means. Henceforth, the knowledge and expertise of the numerical solution of differential equations becomes a requirement in broad areas of science and engineering. One might think that a well-organized software package such as MATLAB serves much the same solution. In a sense, this is true; but it must be kept in mind that blind employment of software packages misleads the user. The gist of numerical solution of differential equations still must be learned. The present book is intended to provide the essence of numerical solutions of ordinary differential equations as well as of delay differential equations. Particularly, the authors noted that there are still few concise textbooks of delay differential equations, and then they set about filling the gap through descriptions as transparent as possible. Major algorithms of numerical solution are clearly described in this book. The stability of solutions of ODEs and DDEs is crucial as well. The book introduces the asymptotic stability of analytical and numerical solutions and provides a practical way to analyze their stability by employing a theory of complex functions.
Differential equations. --- Numerical analysis. --- Mathematical analysis --- 517.91 Differential equations --- Differential equations --- Algorithms. --- Numerical Analysis. --- Differential Equations. --- Algorism --- Algebra --- Arithmetic --- Foundations --- Equacions diferencials --- Anàlisi numèrica
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This primer on averaging theorems provides a practical toolbox for applied mathematicians, physicists, and engineers seeking to apply the well-known mathematical theory to real-world problems. With a focus on practical applications, the book introduces new approaches to dissipative and Hamiltonian resonances and approximations on timescales longer than 1/ε. Accessible and clearly written, the book includes numerous examples ranging from elementary to complex, making it an excellent basic reference for anyone interested in the subject. The prerequisites have been kept to a minimum, requiring only a working knowledge of calculus and ordinary and partial differential equations (ODEs and PDEs). In addition to serving as a valuable reference for practitioners, the book could also be used as a reading guide for a mathematics seminar on averaging methods. Whether you're an engineer, scientist, or mathematician, this book offers a wealth of practical tools and theoretical insights to help you tackle a range of mathematical problems.
Differential equations. --- Engineering mathematics. --- Differential Equations. --- Engineering Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- 517.91 Differential equations --- Differential equations --- Mathematics --- Equacions diferencials --- Equacions en derivades parcials
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This book collects contributions presented at the INdAM Workshop "Mathematical modeling and Analysis of degradation and restoration in Cultural Heritage–MACH2021", held in Rome, Italy in September 2021. The book is focused on mathematical modeling and simulation techniques with the aim of improving the current strategies of conservation and restoration in cultural heritage, sharing different experiences and approaches. The main topics are corrosion and sulphation of materials, damage and fractures, stress in thermomechanical systems, contact and adhesion problems, and phase transitions.
Differential equations. --- Mathematics. --- Differential Equations. --- Applications of Mathematics. --- Math --- Science --- 517.91 Differential equations --- Differential equations --- Patrimoni cultural --- Protecció del patrimoni cultural --- Models matemàtics
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Le 21 mai 2015, Jacques Mourad est enlevé dans son couvent de Mar Elian par deux djihadistes de l'organisation État islamique. Après cinq mois de captivité, il parvient miraculeusement à s'échapper. S'il a subi la torture et frôlé la mort à plusieurs reprises, il y a fait une expérience plus radicale encore : celle de la grâce de Dieu et de la force de la prière, par lesquelles il a pu goûter une paix et un courage jusque-là inconnus. Au fur et à mesure de ce récit bouleversant, le père Mourad revient sur son enfance, sa vocation ainsi que l'histoire de sa communauté engagée au service de la paix et de l'amitié avec les musulmans. Il invite aussi chacun d'entre nous à faire le choix définitif, dans les plus petits actes, de la non-violence, de la rencontre, du pardon, de l'amour inconditionnel et de la prière, sans lesquels le monde risque de s'enfoncer un peu plus dans la violence.
Fathers of the church, Syriac --- Syriac Christians --- Islamic fundamentalism --- 27 <394> --- 956.91 --- 956.91 Geschiedenis van Syrië --- Geschiedenis van Syrië --- 27 <394> Histoire de l'Eglise--Syrië --- 27 <394> Kerkgeschiedenis--Syrië --- Histoire de l'Eglise--Syrië --- Kerkgeschiedenis--Syrië --- Fathers of the church, Syriac - Syria - Biography --- Syriac Christians - Syria --- Islamic fundamentalism - Syria
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