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681.3*G2 --- Discrete mathematics (Mathematics of computing) --- Computer science --- Mathematics. --- 681.3*G2 Discrete mathematics (Mathematics of computing) --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics

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Ce livre a pour but de présenter les fondements théoriques et méthodologiques de l'analyse numérique. Une attention toute particulière est portée sur les concepts de stabilité, précision et complexité des algorithmes. Les méthodes modernes relatives aux thèmes suivants sont presentées et analysées en détail: résolution des systèmes lineaires et non linéaires, approximation polynomiale, optimisation, intégration numérique, polynômes orthogonaux, transformations rapides, équations différentielles ordinaires. Les techniques presentées sont illustrées par de nombreux tableaux et figures. Beaucoup d'exemples et de contre-exemples sont proposés pour permettre au lecteur de développer son sens critique. Une caractéristique principale du livre réside dans l'abondance des programmes MATLAB qui accompagnent toutes les méthodes numériques présentées et qui les illustrent par des applications concrètes. Le lecteur détient ainsi tous les outils pour acquérir de solides connaissances théoriques et les appliquer directement sur ordinateur. Cet ouvrage s'adresse aux étudiants du second cycle des universités, aux élèves des écoles d'ingénieurs et, plus généralement, à toutes les personnes qui pratiquent le calcul scientifique.

calcul --- calculation --- Computer mathematics --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Computational Mathematics and Numerical Analysis. --- Analysis. --- Computer science --- Global analysis (Mathematics) --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Discrete mathematics --- Electronic data processing --- Mathematics --- mathematics --- Numerical analysis --- Analyse numérique --- Global analysis (Mathematics). --- 517.1 Mathematical analysis --- Mathematical analysis --- Algèbre --- Matlab

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Aims to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. This book assembles theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn about developments in cryptography, algorithmics, and more.

Computer science --- Physics. --- Cryptography. --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematics.

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Dieses Buch führt in die grundlegenden Begriffe und Werkzeuge der Wahrscheinlichkeitsrechnung ein. Zentrale Begriffe und Methoden der angewandten mathematischen Statistik werden beschrieben, und weitergehende statistische Verfahren wie die Varianz- und Regressionsanalyse oder nichtparametrische Verfahren werden diskutiert. Moderne Techniken wie die Monte-Carlo-Methode und wichtige Anwendungsgebiete aus dem ingenieurwissenschaftlichen Bereich werden vorgestellt. Alle Themen werden weitestgehend unter Verwendung von MATLAB bearbeitet. Dies erlaubt die Diskussion praxisorientierter Beispiele und die grafische Visualisierung. Die verwendeten MATLAB-Programme werden ausführlich kommentiert und dem Leser als Begleitsoftware auf der Homepage des Autors zur Verfügung gestellt. Das Buch enthält über 100 Übungsaufgaben mit vollständigen Lösungen. Für die zweite Auflage wurden die Darstellung noch übersichtlicher gestaltet und die Übungsaufgaben ergänzt. Das Buch eignet sich für Studierende aller ingenieurwissenschaftlichen und naturwissenschaftlichen Fachrichtungen an Universitäten und Fachhochschulen.

Electronics. --- Microelectronics. --- Engineering. --- Mathematics. --- Computational intelligence. --- Statistics . --- Computer mathematics. --- Electronics and Microelectronics, Instrumentation. --- Engineering, general. --- Mathematics, general. --- Computational Intelligence. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Computational Mathematics and Numerical Analysis.

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This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. Because there is no other book that puts together all of these ideas in one place, this text is truly a service to the mathematical community. We encounter here a friendly invitation to the field of "counting integer points in polytopes," also known as Ehrhart theory, and its various connections to elementary finite Fourier analysis, generating functions, the Frobenius coin-exchange problem, solid angles, magic squares, Dedekind sums, computational geometry, and more. With 250 exercises and open problems, the reader feels like an active participant, and the authors' engaging style encourages such participation. The many compelling pictures that accompany the proofs and examples add to the inviting style. For teachers, this text is ideally suited as a capstone course for undergraduate students or as a compelling text in discrete mathematical topics for beginning graduate students. For scientists, this text can be utilized as a quick tooling device, especially for those who want a self-contained, easy-to-read introduction to these topics. .

Mathematics. --- Discrete geometry. --- Polyhedra. --- Computer science --- Geometry --- Combinatorial geometry --- Math --- Science --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Polyhedral figures --- Polyhedrons --- Geometry, Solid --- Shapes --- Mathematics --- Combinatorics. --- Geometry. --- Number theory. --- Discrete groups. --- Computer science. --- Discrete Mathematics. --- Number Theory. --- Convex and Discrete Geometry. --- Computational Science and Engineering. --- Informatics --- Groups, Discrete --- Infinite groups --- Number study --- Numbers, Theory of --- Algebra --- Euclid's Elements --- Combinatorics --- Mathematical analysis --- Discrete mathematics. --- Convex geometry . --- Computer mathematics. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis