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This is an introductory course to the theory of ordinary differential equations: techniques of number theory, basic results of existence theorems, singularities, and uniformity of the solutions of differential equations. This work describes number theory methods such as peano numbers and axioms. Exercises and problems are provided. This is a work for graduate students in the sciences or engineering school or for math teachers.

Differential equations. --- Differential equations --- 517.91 Differential equations --- Numerical solutions.

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The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, espec

Differential equations, Nonlinear --- Differential equations, Partial --- Numerical analysis --- Numerical solutions. --- Equations aux dérivées partielles --- Equations différentielles non linéaires --- Numerical solutions --- Solutions numériques

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Approximation theory --- Asymptotic expansions --- 517.91 --- Integral equations --- Numerical solutions --- Asymptotic theory --- Asymptotic theory

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This is a short, focused introduction to MATLAB, a comprehensive software system for mathematical and technical computing. It contains concise explanations of essential MATLAB commands, as well as easily understood instructions for using MATLAB's programming features, graphical capabilities, simulation models, and rich desktop interface. Written for MATLAB 7, it can also be used with earlier (and later) versions of MATLAB. This book teaches how to graph functions, solve equations, manipulate images, and much more. It contains explicit instructions for using MATLAB's companion software, Simulink, which allows graphical models to be built for dynamical systems. MATLAB's new "publish" feature is discussed, which allows mathematical computations to be combined with text and graphics, to produce polished, integrated, interactive documents. For the beginner it explains everything needed to start using MATLAB, while experienced users making the switch to MATLAB 7 from an earlier version will also find much useful information here.

Numerical analysis --- Data processing. --- MATLAB. --- robots --- Matlab (informatica) --- Artificial intelligence. Robotics. Simulation. Graphics --- wiskunde --- Numerical solutions of algebraic equations --- Engineering

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Financial engineering --- Derivative securities --- Finite differences --- Differential equations, Partial --- Instruments dérivés (Finances) --- Différences finies --- Equations aux dérivées partielles --- Mathematics --- Prices --- Mathematical models --- Numerical solutions --- Prix --- Modèles mathématiques --- Solutions numériques --- Instruments dérivés (Finances) --- Différences finies --- Equations aux dérivées partielles --- Modèles mathématiques --- Solutions numériques --- Financial engineering - Mathematics --- Derivative securities - Prices - Mathematical models --- Differential equations, Partial - Numerical solutions