Matlab
MATLAB Numerical Calculations focuses on MATLAB capabilities to give you numerical solutions to problems you are likely to encounter in your professional or scholastic life. It introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at basic MATLAB functionality with integers, rational numbers and real and complex numbers, and MATLAB's relationship with Maple, you will learn how to solve equations in MATLAB, and how to simplify the results. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful tool used to defined, manipulate and simplify complex algebraic expressions. With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can write scripts and use MATLAB to explore numerical analysis, finding approximations of integrals, derivatives and numerical solutions of differential equations.
MATLAB
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers).
Matlab
MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. The book supposes proper training in the mathematics and so presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions to your problems for a vast amount of MATLAB functions. The book begins by introducing the reader to the use of numbers, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with and developing graphical representations of curves, surfaces and volumes. MATLAB functions allow working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work implements twisted curves, surfaces, meshes, contours, volumes and graphical interpolation.
Matemáticas
In this edition, we continue to emphasize a balance between theory and applications. Calculus and other types of mathematical support (e.g., linear algebra) are used at about the same level as in previous editions. The coverage of analytical tools in statistics is enhanced with the use of calculus when discussion centers on rules and concepts in probability.
Mathematical Game Theory and Applications
This book offers a combined course of lectures on game theory which the author has delivered for several years in Russian and foreign universities. In addition to classical branches of game theory, our analysis covers modern branches left without consideration in most textbooks on the subject (negotiation models, potential games, parlor games, best choice games, and network games). The fundamentals of mathematical analysis, algebra, and probability theory are the necessary prerequisites for reading. The book can be useful for students specializing in applied mathematics and informatics, as well as economical cybernetics. Moreover, it attracts the mutual interest of mathematicians operating in the field of game theory and experts in the fields of economics, management science, and operations research. Each chapter concludes with a series of exercises intended for better understanding. Some exercises represent open problems for conducting independent investigations. As a matter of fact, stimulation of reader’s research is the main priority of the book. A comprehensive bibliography will guide the audience in an appropriate scientific direction.
Wolfram Mathematica
The Mathematica Cookbook was one of my most challenging projects and it is not something I could have accomplished without the support of many people. Although I would have never survived without this help, any problems, errors, or omissions in the final product are mine alone. Wolfram Mathematica
Álgebra
El éxito de la Teoría de Grupos es impresionante y extraordinario. Es quizás, la rama más poderosa e in?uyente de toda la Matemática. In?uye en casi todas las disciplinas cientí?cas, artísticas y en la propia Matemática de una manera fundamental. Lo que realmente se ha hecho en la Teoría de Grupos, es extraer lo esencial de diversas situaciones donde ocurre. Dado un conjunto no vacío, de?nimos una operación binaria en él, tal que cumpla ciertas axiomas, es decir, que posea una estructura, (la estructura de grupo). El concepto de estructura y los relacionados con éste, como el de isomor?smo, juegan un papel decisivo en la Matemática actual.
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