eBook - PDF

Mathematical Analysis Tools for Engineering

Name: Mathematical Analysis Tools for Engineering
ISBN: 9791220841580

franco tomarelli,

English
PDF
Available on iOS & Android

eBook - PDF

Mathematical Analysis Tools for Engineering

franco tomarelli,

About this book

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 goals are 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.
This Second Edition contains additional exercises and a new chapter concerning signals and filters analysis in connection to integral transforms.

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Yes, you can access Mathematical Analysis Tools for Engineering by franco tomarelli in PDF and/or ePUB format, as well as other popular books in Mathematics & Complex Analysis. We have over one million books available in our catalogue for you to explore.