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Mathematical Analysis Tools for Engineering (Paperback)
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Mathematical Analysis Tools for Engineering (Paperback)
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Total price: R1,208
Discovery Miles: 12 080
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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.
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