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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Analytic Functions Integral Transforms Differential Equations - Theoretical topics and solved exercises (Paperback)
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Analytic Functions Integral Transforms Differential Equations - Theoretical topics and solved exercises (Paperback)
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Differential equations play a relevant role in many disciplines and
provide powerful tools for analysis and modeling in applied
sciences. The book contains several classical and modern methods
for the study of ordinary and partial differential equations. A
broad space is reserved to Fourier and Laplace transforms together
with their applications to the solution of boundary value and/or
initial value problems for differential equations. Basic
prerequisites concerning analytic functions of complex variable and
Lp spaces are synthetically presented in the first two chapters.
Techniques based on integral transforms and Fourier series are
presented in specific chapters, first in the easier framework of
integrable functions and later in the general framework of
distributions. The less elementary distributional context allows to
deal also with differential equations with highly irregular data
and pulse signals. The theory is introduced concisely, while
learning of miscellaneous methods is achieved step-by-step through
the proposal of many exercises of increasing difficulty. Additional
recap exercises are collected in dedicated sections. Several tables
for easy reference of main formulas are available at the end of the
book. The presentation is oriented mainly to students of Schools in
Engineering, Sciences and Economy. The partition of various topics
in several self-contained and independent sections allows an easy
splitting in at least two didactic modules: one at undergraduate
level, the other at graduate level.
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