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Information [Traitement optique de l' ] --- Optical computing --- Optical data processing --- Optische gegevensverwerking --- Visual data processing --- 519.67 --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Machine, graphical and other methods of computational mathematics --- Optical equipment --- 519.67 Machine, graphical and other methods of computational mathematics --- Optical data processing. --- Optoelectronics --- Traitement optique de l'information --- Optoélectronique --- Traitement optique de l'information. --- Optoélectronique.

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Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays. This self-contained text benefits from a spiral structure that regularly revisits the general topics of graphics, symbolic computation, and numerical simulation with increasing intricacy at each turn. The text is built around a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is assumed. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe is associated with a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention. All recipes are included on the CD-ROM enclosed with the book. Aimed at third- and fourth-year undergraduates in science and engineering, the text contains numerous examples in disciplines that will challenge students progressing in mathematics, physics, engineering, game theory, and physical chemistry. Computer Algebra Recipes: An Advanced Guide to Mathematical Modeling can serve as an effective computational science text, with a set of problems following each section of recipes to enable readers to apply and confirm their understanding. The book may also be used as a reference, for self-study, or as the basis of an online course.

analyse (wiskunde) --- Computer. Automation --- Computer architecture. Operating systems --- algebra --- simulaties --- vormgeving --- informatica --- Artificial intelligence. Robotics. Simulation. Graphics --- Mathematical physics --- Mathematical control systems --- Engineering sciences. Technology --- Planning (firm) --- mathematische modellen --- ingenieurswetenschappen --- wiskunde --- Mathematical logic --- fysica --- 517.91 --- Science --- 519.61 --- 519.67 --- Natural science --- Science of science --- Sciences --- 517.91 Differential equations --- Differential equations --- 519.61 Numerical methods of algebra --- Numerical methods of algebra --- 519.67 Machine, graphical and other methods of computational mathematics --- Machine, graphical and other methods of computational mathematics --- Numerical solutions --- Numerical solutions&delete& --- Computer programs. --- Mathematical models --- Maple (Computer file) --- Mathematical models. --- Algebra. --- Algebra --- Engineering mathematics. --- Mathematical physics. --- Computer software. --- Mathematical Modeling and Industrial Mathematics. --- Symbolic and Algebraic Manipulation. --- Mathematical and Computational Engineering. --- Mathematical Methods in Physics. --- Mathematical Software. --- Data processing. --- Software, Computer --- Computer systems --- Physical mathematics --- Physics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Natural sciences --- Computer science—Mathematics. --- Applied mathematics. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Models, Mathematical --- Simulation methods --- Numerical solutions&delete&&delete& --- Computer programs

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Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models. Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation. The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe. This text is the first of two volumes.  The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.

Physics --- Mathematical models. --- Computer-assisted instruction. --- Mathematics. --- Computer science --- Computer simulation. --- Computer software. --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Symbolic and Algebraic Manipulation. --- Appl.Mathematics/Computational Methods of Engineering. --- Mathematical Methods in Physics. --- Mathematical Software. --- Simulation and Modeling. --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Software, Computer --- Computer systems --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Mathematics --- 519.67 --- 681.3*G --- 681.3*I12 --- 681.3*I12 Algorithms: algebraic algorithms; nonalgebraic algorithms; analysis of algorithms (Algebraic manipulation; computing methodologies) --- Algorithms: algebraic algorithms; nonalgebraic algorithms; analysis of algorithms (Algebraic manipulation; computing methodologies) --- 681.3*G Mathematics of computing --- Mathematics of computing --- 519.67 Machine, graphical and other methods of computational mathematics --- Machine, graphical and other methods of computational mathematics --- Computer-assisted instruction --- Algebra --- Mathematical physics. --- Mathematical and Computational Engineering. --- Data processing. --- Physical mathematics --- Computer --- Assisted instruction. --- Computer science—Mathematics.