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The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful.

Mathematical physics. --- Mathematics. --- Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Math --- Science --- Physical mathematics --- Mathematics --- Engineering mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Classical Mechanics. --- Mathematical Methods in Physics. --- Mathematics, general. --- Mathematical models. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Models, Mathematical --- Simulation methods

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Translational Neuroscience offers a far-reaching and insightful series of perspectives on the effort to bring potentially revolutionary new classes of therapies to the clinic, thereby transforming the treatment of human nervous system disorders. Great advances in the fields of basic neuroscience, molecular biology, genomics, gene therapy, cell therapy, stem cell biology, information technology, neuro devices, rehabilitation and others over the last 20 years have generated unprecedented opportunities to treat heretofore untreatable disorders of the nervous system. This book provides a wide-ranging yet detailed sample of many of these efforts, together with the methods for pursuing clinical translation and assessing clinical outcomes. Among the topics covered are Alzheimer’s disease, Parkinson’s disease, stroke, multiple sclerosis, epilepsy, motor neuron disease, pain, inborn errors of metabolism, brain tumors, spinal cord injury, neuroprosthetics, rehabilitation and clinical trial design/consideration. Translational Neuroscience is aimed at basic neuroscientists, translational neuroscientists and clinicians who seek to gain a perspective on the nature and promise of translational therapies in the current era. Both students and established professionals will benefit from the content.

Neurology --- Medicine --- Health & Biological Sciences --- Nervous system --- Neurosciences. --- Diseases. --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical neurology --- Nerves --- Neuropathology --- Diseases --- Medical sciences --- Neurologic disorders --- Neurological disorders --- Neurology. --- Neurobiology. --- Neurosciences --- Neuropsychiatry --- Neurology .

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This textbook provides and introduction to numerical computing and its applications in science and engineering.  The topics covered include those usually found in an introductory course, as well as those that arise in data analysis.  This includes optimization and regression based methods using a singular value decomposition.  The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science.  The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used.  The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.

Mathematics. --- Partial differential equations. --- Computer mathematics. --- Mathematical optimization. --- Computational Science and Engineering. --- Optimization. --- Partial Differential Equations. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Partial differential equations --- Math --- Mathematics --- Computer science. --- Differential equations, partial. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Informatics --- Science --- Data processing.

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Dieser Band enthält die Vorträge, viele davon wesentlich erweitert und überarbeitet, die auf einer internationalen, 1990 an der Ben-Gurion Universität in Beersheva abgehaltenen Konferenz referiert wurden. Analysiert werden unter Verwendung der methodologischen Richtlinien und Erkenntnisse der ästhetischen Rezeption eine Reihe jüdischer Interpretationen Heinescher Werke sowie seine komplexe literarische Persönlichkeit. Der größte Teil des Buches besteht aus Untersuchungen seines Einflusses auf wichtige Persönlichkeiten, wie Sigmund Freud, Karl Marx, Theodor Herzl, Max Nordau, Karl Kraus, Else Lasker-Schüler, Lion Feuchtwanger und Max Brod. Außerdem enthält es Heine-Interpretationen von weniger bedeutenden oder vernachlässigten jüdischen Schriftstellern und Dichtern, wie zum Beispiel Aron Bernstein und Fritz Heymann, und sowohl von jüdischen Autoren der hebräischen und jiddischen Literatur als auch von jüdischen Lesern anderer nationaler Leserschaften wie zum Beispiel der amerikanischen oder kroatischen. Im Verlauf dieser Analyse ist natürlich auch der Begriff der jüdischen Rezeption selbst einer kritischen Prüfung unterzogen worden. This volume contains the lectures, many substantially expanded and revised, which were delivered at an international conference held at Ben-Gurion University in Beersheva in 1990. By utilizing the methodological guidelines and insights of reception aesthetics, a range of Jewish readings of Heine's works and his complex literary personality are analyzed. Considerations of his impact on major figures, like Sigmund Freud, Karl Marx, Theodor Herzl, Max Nordau, Karl Kraus, Else Lasker-Schüler, Lion Feuchtwanger, and Max Brod comprise the major part of the book. In addition, there are readings of Heine by minor or neglected Jewish writers and poets, including, for example, Aron Bernstein and Fritz Heymann, and by Jewish writers in Hebrew and Yiddish literature, as well as by Jewish readers within other national readerships, for example, the American and Croatian. In the process of this analysis, the notion of Jewish reception itself is naturally subjected to critical scrutiny.

Sociology of literature --- Heine, Heinrich --- German literature --- Jews --- Judaism and literature --- Jewish authors --- History and criticism. --- Intellectual life --- Germany --- History and criticism --- Ethnic relations --- Intellectual life. --- Heine, Heinrich, --- Geĭne, Genrikh, --- Khaĭne, Khaĭnrikh, --- Haine, --- Chaine, Herrikos, --- Hai-nieh, --- Heine, Enrique, --- Heine, H. --- Haineh, Henrikh, --- Haineh, Hainrikh, --- Hainah, Hinrikh, --- Haine, H., --- Heine, Henri, --- Heine, Henryk, --- Heine, Enrico, --- Haine, Hainrix, --- Haine, Hainrikh, --- Heine, Henry, --- Heine, Harry, --- היין, היינריך, --- היינה --- היינה, היינריך --- היינה, היינריך, --- היינה, הינריך --- היינע, היינריך --- היינע, היינריך, --- היינריך, היינה, --- הינה, הינריך --- הינה, הינריך, --- הײנע, הײנע --- הײנע, הײנריך --- הײנע, הײנריך, --- Гейне, Генрихъ, --- Appreciation. --- Ethnic relations.

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The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. … Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. … One of the best features of the book is the abundant number of exercises found at the end of each chapter. … I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009.

Mechanics. --- Mathematical physics. --- Mathematical Modeling and Industrial Mathematics. --- Classical Mechanics. --- Mathematical Methods in Physics. --- Physical mathematics --- Physics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics --- Mathematical models. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Models, Mathematical --- Simulation methods --- Mechanics --- Mathematics.