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Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formula
Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics
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Computational Methods in Engineering brings to light the numerous uses of numerical methods in engineering. It clearly explains the application of these methods mathematically and practically, emphasizing programming aspects when appropriate. By approaching the cross-disciplinary topic of numerical methods with a flexible approach, Computational Methods in Engineering encourages a well-rounded understanding of the subject. This book''s teaching goes beyond the text-detailed exercises (with solutions), real examples of numerical methods in real engineering practices, flowcharts, and MATLAB c
Engineering mathematics. --- Engineering mathematics --- Data processing. --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics
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Collection of selected, peer reviewed papers from the 2014 International Conference on Applied Sciences, Engineering and Technology (ICASET 2014), July 28-29, 2014, Qingdao, China. The 393 papers are grouped as follows: Chapter 1: Materials Science and Technology, Chemical Engineering, Chapter 2: Biomaterials, Medicine, Biotechnologies and Pharmaceutics, Chapter 3: Industrial, Dynamics, Mechanical, Manufacturing Engineering and Processing, Measurement and Instrumentation, Chapter 4: Products and Systems Design, Modelling and Simulation, Intelligent Automation and Control Systems, Chapter 5: Si
Mechanics, Applied --- Engineering mathematics --- Manufacturing processes --- Engineering --- Engineering analysis --- Mathematical analysis --- Industrial applications. --- Mathematical models. --- Mathematics
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This volume is devoted to the most recent discoveries in mathematics and statistics. It also serves as a platform for knowledge and information exchange between experts from industrial and academic sectors. The book covers a wide range of topics, including mathematical analyses, probability, statistics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, ordinary and partial differential equations, boundary value problems, linear operators, cybernetics and number and functional theory. It is a valuable resource for pure and applied mathematicians, statisticians, engineers and scientists.
Mathematics --- Mathematical statistics --- Math --- Science --- Mathematics. --- Applications of Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis
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Diese einzigartige Sammlung von mehr als 300 vollständig gelösten Aufgaben wendet sich an Studierende der Ingenieur- und Naturwissenschaften. Ja selbst Studierende der Mathematik finden hier viele Aufgaben, die sie zwar theoretisch verstanden, aber praktisch selten erprobt haben. Beide Bände werden von der Idee getragen, daß es vielen Lesern leichter fällt, eine abstrakte Definition oder einen sauber formulierten Satz anhand eines Beispiels zu durchdringen. Die entscheidenden mathematischen Zusammenhänge fehlen aber trotzdem nicht: Sie sind in die Lösungen der Aufgaben eingestreut. Daneben versteht es Herrmann glänzend, die Mathematik als eine überaus lebendige und spannende Wissenschaft darzustellen. Herrmanns zweibändiges Werk ist ein unentbehrlicher Begleiter - nicht nur für Ingenieure. Der erste Band behandelt zunächst die Vektoranalysis, die bis zu den Maxwellschen Gleichungen führt. Es folgen die linearen Gleichungssyteme und die Matrizeneigenwerte. In den Kapiteln über lineare Optimierung, Interpolation und numerische Quadratur werden vor allem der Simplex-Algorithmus, die Spline-Funktionen und die Gauß-Quadratur vorgeführt. Damit sind die Grundsteine gelegt für die Numerik von gewöhnlichen und partiellen Differentialgleichungen.
Mathematics --- Engineering mathematics --- Chemistry, Physical and theoretical --- Engineering --- Engineering analysis --- Mathematical analysis --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Data processing. --- Industrial applications.
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Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, just so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to be miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths.
Mathematics --- History. --- Math --- Science --- Science (General). --- Mathematics. --- History of Mathematical Sciences. --- Popular Science, general. --- Applications of Mathematics. --- Popular works. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Annals --- Auxiliary sciences of history
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The theme of CSA is focused on the various aspects of computer science and its applications for advances in computer science and its applications and provides an opportunity for academic and industry professionals to discuss the latest issues and progress in the area of computer science and its applications. This book includes various theories and practical applications of computer science.
Computer science. --- Engineering mathematics. --- Engineering. --- Software engineering. --- Computer software engineering --- Construction --- Engineering --- Engineering analysis --- Informatics --- Mathematics --- Mathematical and Computational Engineering. --- Computer Science, general. --- Software Engineering/Programming and Operating Systems. --- Mathematical analysis --- Science --- Industrial arts --- Technology --- Applied mathematics. --- Computer science
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This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications.
Differential equations, Partial. --- Partial differential equations --- Computer science --- Differential equations, partial. --- Engineering mathematics. --- Computational Mathematics and Numerical Analysis. --- Mathematical Applications in the Physical Sciences. --- Partial Differential Equations. --- Mathematical and Computational Engineering. --- Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Computer mathematics. --- Mathematical physics. --- Partial differential equations. --- Applied mathematics. --- Physical mathematics --- Physics
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This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered – true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by students. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.
Measurement --- Error analysis (Mathematics) --- History. --- Errors, Theory of --- Instrumental variables (Statistics) --- Mathematical statistics --- Numerical analysis --- Statistics --- Engineering mathematics. --- Mathematical physics. --- Measurement Science and Instrumentation. --- Mathematical and Computational Engineering. --- Mathematical Methods in Physics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Physical mathematics --- Physics --- Mathematics --- Physical measurements. --- Measurement . --- Applied mathematics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Measuring --- Mensuration --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics
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This book presents efficient metaheuristic algorithms for optimal design of structures. Many of these algorithms are developed by the author and his colleagues, consisting of Democratic Particle Swarm Optimization, Charged System Search, Magnetic Charged System Search, Field of Forces Optimization, Dolphin Echolocation Optimization, Colliding Bodies Optimization, Ray Optimization. These are presented together with algorithms which were developed by other authors and have been successfully applied to various optimization problems. These consist of Particle Swarm Optimization, Big Bang-Big Crunch Algorithm, Cuckoo Search Optimization, Imperialist Competitive Algorithm, and Chaos Embedded Metaheuristic Algorithms. Finally a multi-objective optimization method is presented to solve large-scale structural problems based on the Charged System Search algorithm. The concepts and algorithms presented in this book are not only applicable to optimization of skeletal structures and finite element models, but can equally be utilized for optimal design of other systems such as hydraulic and electrical networks. .
Structural design --- Data processing. --- Engineering mathematics. --- Mathematical optimization. --- Mechanical engineering. --- Mathematical and Computational Engineering. --- Optimization. --- Mechanical Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Engineering analysis --- Mathematics --- Applied mathematics.
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