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519.61 --- Geometry --- -Topology --- -Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Mathematics --- Euclid's Elements --- Numerical methods of algebra --- Data processing --- -Congresses --- -Numerical methods of algebra --- 519.61 Numerical methods of algebra --- -519.61 Numerical methods of algebra --- Analysis situs --- Topology --- Data processing&delete& --- Congresses

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Coding theory --- Computer security --- Codage --- Mathematics --- Coding theory. --- Mathematics. --- 512 --- 519.61 --- Computer privacy --- Computer system security --- Computer systems --- Computers --- Cyber security --- Cybersecurity --- Electronic digital computers --- Protection of computer systems --- Security of computer systems --- Data protection --- Security systems --- Hacking --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- 512 Algebra --- Algebra --- 519.61 Numerical methods of algebra --- Numerical methods of algebra --- Protection --- Security measures

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Computational simulation of scientific phenomena and engineering problems often depends on solving linear systems with a large number of unknowns. This book gives insight into the construction of iterative methods for the solution of such systems and helps the reader to select the best solver for a given class of problems. The emphasis is on the main ideas and how they have led to efficient solvers such as CG, GMRES, and BI-CGSTAB. The author also explains the main concepts behind the construction of preconditioners. The reader is encouraged to gain experience by analysing numerous examples that illustrate how best to exploit the methods. The book also hints at many open problems and as such it will appeal to established researchers. There are many exercises that motivate the material and help students to understand the essential steps in the analysis and construction of algorithms.

Iterative methods (Mathematics) --- Numerical solutions of algebraic equations --- 519.61 --- 681.3*G13 --- 519.61 Numerical methods of algebra --- Numerical methods of algebra --- 681.3*G13 Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Numerical linear algebra: conditioning; determinants; Eigenvalues; error analysis; linear systems; matrix inversion; pseudoinverses; sparse and very largesystems --- Linear systems. --- Itération (Mathématiques) --- Systèmes linéaires --- Linear systems --- Systems, Linear --- Differential equations, Linear --- System theory --- Iteration (Mathematics) --- Numerical analysis

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Iterative methods (Mathematics) --- 519.61 --- 681.3*G13 --- Numerical methods of algebra --- Numerical linear algebra: conditioning determinants eigenvalues and eigenvectors error analysis linear systems matrix inversion pseudoinverses singular value decomposition sparse, structured, and very large systems (direct and iterative methods) --- 519.61 Numerical methods of algebra --- #TCPW N1.0 --- 681.3*G1 --- Iteration (Mathematics) --- 681.3*G1 Numerical analysis --- 519.6 --- Numerical analysis --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- Numerical linear algebra: conditioning; determinants; eigenvalues and eigenvectors; error analysis; linear systems; matrix inversion; pseudoinverses; singular value decomposition; sparse, structured, and very large systems (direct and iterative methods) --- Itération (Mathématiques)

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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