Métodos de matemática aplicada para ingenierías.

Format:

Book

Author/Creator:

Baenas Tormo, Tomás.

Language:

Spanish

Subjects (All):

Matemáticas aplicadas.

Genre:

Libros electrónicos.

Physical Description:

1 online resource (265 pages)

Edition:

1st ed.

Place of Publication:

Madrid : Delta Publicaciones, 2021.

Summary:

This comprehensive textbook is aimed at undergraduate and postgraduate engineering students who have previously taken an introductory course in differential equations. The book focuses on applied mathematical methods, particularly in engineering contexts, offering a meticulous exploration of systems of ordinary differential equations (ODEs), both linear and non-linear, and partial differential equations (PDEs). It emphasizes practical problem-solving over formal mathematical proofs. The initial chapters provide a foundation in linear ODE systems, including variable coefficient cases using power series methods. Subsequent chapters introduce PDEs, employing Fourier methods to address classical equations under various boundary conditions. The book includes numerous solved exercises and examples, with mechanical oscillator systems as a recurring theme. Authored by Tomas Baenas Tormo, a recognized researcher in celestial mechanics and differential equations, it serves as a valuable resource for engineering students seeking to enhance their mathematical proficiency. Generated by AI.

Contents:

MÉTODOS DE MATEMÁTICA APLICADA PARA INGENIERÍAS

PÁGINA LEGAL

CONTENIDO

1. ECUACIONES DIFERENCIALES LINEALES DE ORDEN η

1.1 INTRODUCCIÓN

1.1.1 PROBLEMA DE VALOR INICIAL

1.2 ECUACIONES HOMOGÉNEAS

1.2.1 WRONSKIANO

1.2.2 SOLUCIÓN GENERAL

1.2.3 CONSTRUCCIÓN A PARTIR DE UN SISTEMA FUNDAMENTAL

1.3 ECUACIONES COMPLETAS

1.3.1 MÉTODO DE VARIACIÓN DE LAS CONSTANTES

1.4 ECUACIONES LINEALES CON COEFICIENTES CONSTANTES

1.4.1 ECUACIÓN LINEAL HOMOGÉNEA

1.4.2 ECUACIÓN LINEAL COMPLETA: COEFICIENTES INDETERMINADOS

EJERCICIOS DEL CAPÍTULO

2. SISTEMAS LINEALES DE ECUACIONES DIFERENCIALES

2.1 INTRODUCCIÓN

2.1.1 PROBLEMA DE VALOR INICIAL

2.1.2 LA ECUACIÓN LINEAL DE ORDEN

2.2 SISTEMAS HOMOGÉNEOS

2.2.1 WRONSKIANO

2.2.2 SOLUCIÓN GENERAL

2.2.3 MATRIZ FUNDAMENTAL

2.3 SISTEMAS NO HOMOGÉNEOS

2.3.1 MÉTODO DE VARIACIÓN DE LAS CONSTANTES

2.4 SISTEMAS CON COEFICIENTES CONSTANTES

2.4.1 SISTEMAS HOMOGÉNEOS

2.4.2 SISTEMAS NO HOMOGÉNEOS: COEFICIENTES INDETERMINADOS

EJERCICIOS DEL CAPÍTULO Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Contiene referencias bibliográficas.

Part of the metadata in this record was created by AI, based on the text of the resource.

OCLC:

1373951093