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Español
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Este texto, dirigido a estudiantes de pregrado que tengan un conocimiento previo acerca de la teoría de probabilidad, recoge la experiencia académica del autor en cursos de pregrado y postgrado en diferentes disciplinas, tales como matemáticas, estadística aplicada, ciencias económicas y ciencias de la salud. Como resultado del continuo procesamiento y análisis estadístico de datos reales en trabajos de tesis o de profundización, el autor...
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Français
Description
Dans ce livre, des exercices sont réalisés sur les sujets mathématiques suivants:
résoudre des équations différentielles de divers ordres
systèmes d'équations différentielles
Problèmes de valeurs initiales de Cauchy et Neumann.
Des premières indications théoriques sont également présentées pour rendre compréhensible le déroulement des exercices.
Author
Language
English
Description
This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment...
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Español
Description
En este libro se realizan ejercicios sobre los siguientes temas matemáticos:
resolución de ecuaciones diferenciales de varios órdenes
sistemas de ecuaciones diferenciales
Problemas de valores iniciales de Cauchy y Neumann.
También se presentan sugerencias teóricas iniciales para hacer comprensible la realización de los ejercicios.
Author
Language
Español
Description
Esta obra fue desarrollada a partir de las notas de clase de la asignatura "Fundamentos de Estadística" en los programas de Psicología, Relaciones Internacionales y Comunicación Social de la Universidad del Norte, y puede ser de utilidad en otras áreas de las Ciencias Sociales. Está dividida en tres capítulos: "Estadística descriptiva", "Distribuciones de probabilidad" y "Estadística inferencial", cada uno de los cuales contiene ejercicios...
Author
Language
English
Description
This volume covers many major types of classical equations, including operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations, and stochastical differential equations. Its clear organization and copious references make it suitable for graduate students as well as scientists, technologists, and mathematicians.
Author
Language
English
Description
By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining periodic solutions to nonautonomous and autonomous differential equations. It also indicates key relationships with other related procedures and probes the consequences of the methods of averaging and integral manifolds. Part I of the text features introductory...
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Series
Language
English
Description
Singular integral equations play important roles in physics and theoretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil theory. They are highly effective in solving boundary problems occurring in the theory of functions of a complex variable, potential theory, the theory of elasticity, and the theory of fluid mechanics. This high-level treatment by a noted mathematician considers one-dimensional singular...
Author
Language
English
Description
This text explores a topic of perennial interest in mathematics. The author, a distinguished mathematician and formulator of the Hurewicz theorem, presents a clear and lucid treatment that emphasizes geometric methods. Topics include first-order scalar and vector equations, basic properties of linear vector equations, and two-dimensional nonlinear autonomous systems. Suitable for senior mathematics students, the text begins with an examination of...
Author
Series
Language
English
Description
This concise applications-oriented text is intended for undergraduate students in engineering, mathematics, and other areas of science. The first chapters focus on solutions of first order equations, linear equations with constant coefficients, and simultaneous equations and reducible equations. Subsequent chapters explore the method of solution by infinite series and the more important special functions of mathematical physics. The treatment examines...
Author
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Español
Description
Ecuaciones diferenciales recoge nuestra experiencia como profesores del curso sobre este tema, y presenta un texto más acorde a las necesidades académicas de los estudiantes. A pesar de la gran cantidad de libros publicados, la mayoría no han sido escritos bajo la óptica de los programas
académicos de nuestras universidades. La finalidad primordial es ayudar al estudiante a apropiarse de los conceptos básicos de un curso universitario de Ecuaciones...
Author
Series
Language
English
Description
This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations.
The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent...
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