Lezioni 12 Esercizi Di Analisi Matematica 2 Lezioni Ed Esercizi Di Analisi Matematica

Author : Franco Tomarelli
Publisher : Società Editrice Esculapio
ISBN 13 : 8834187504
Total Pages : 442 pages
Book Rating : 4.8/5 (341 download)

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Download or read book Mathematical Analysis tools for engineering written by Franco Tomarelli and published by Società Editrice Esculapio. This book was released on 2019-09-18 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the study of ordinary differential equations and partial differential equations, ranging from elementary techniques to advanced tools. The presentation focusses on initial value problems, boundary value problems, equations with delayed argument and analysis of periodic solutions: main goal is the analysis of diffusion equation, wave equation Laplace equation and signals. The study of relevant examples of differential models highlights the notion of well-posed problem. An expanded tutorial chapter collects the topics from basic undergraduate calculus that are used in subsequent chapters. A wide exposition concerning classical methods for solving problems related to differential equations is available: mainly separation of variables and Fourier series, with basic worked exercises. A whole chapter deals with the analytic functions of complex variable. An introduction to function spaces, distributions and basic notions of functional analysis is present. Several chapters are devoted to Fourier and Laplace transforms methods to solve boundary value problems and initial value problems for differential equations. Tools for the analysis appear gradually: first in function spaces, then in the more general framework of distributions, where a powerful arsenal of techniques allows dealing with impulsive signals and singularities in both data and solutions of differential problems.