In Chapter 1, using the differential equation as the fundamental system description, we show how to obtain the filtering functions associated with physical systems; namely, the impulse response, step response, weighting function, and convolution integral. Chapter 2 introduces th…
This book is devoted to one of the most critical areas of applied mathematics, namely the Laplace transform technique for linear time invariance systems arising from the fields of electrical and mechanical engineering. It focuses on introducing Laplace transformation and its ope…
This book is devoted to one of the most critical areas of applied mathematics, namely the Laplace transform technique for linear time invariance systems arising from the fields of electrical and mechanical engineering. It focuses on introducing Laplace transformation and its ope…
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the bo…
The aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the bo…
This book has been designed for helping students and other interested readers to solve first- and second order circuits problems in the time domain, and to use the Laplace transform. The theory is kept concise, yet all the necessary concepts are explained, and plentiful problems…
The Fourier and Laplace transforms -- Laplace-transform examples -- Properties of the Laplace transform -- Applications of the Laplace transform -- The Z-transform. "The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied…
"The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics, and more. However, students often struggle with the rationale…
A student's guide to Laplace transforms
The Fourier and Laplace transforms -- Laplace-transform examples -- Properties of the Laplace transform -- Applications of the Laplace transform -- The Z-transform. "The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied…
"The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics and more. However, students often struggle with the rationale …
"The Laplace transform is a useful mathematical tool encountered by students of physics, engineering, and applied mathematics, within a wide variety of important applications in mechanics, electronics, thermodynamics, and more. However, students often struggle with the rationale…
Bayesian analysis -- A review of INLA -- Modeling univariate time series -- More topics on DLMs with R-INLA -- Modeling time series with exogenous predictors -- Structural time series decomposition using R-INLA -- Hierarchical DLM -- INLA for multivariate dynamic models -- Model…
"Dynamic Time Series Models using R-INLA: An Applied Perspective is the outcome of a joint effort to systematically describe the use of R-INLA for analysing time series and showcasing the code and description by several examples. This book introduces the underpinnings of R-INLA …
"Dynamic Time Series Models using R-INLA: An Applied Perspective is the outcome of a joint effort to systematically describe the use of R-INLA for analysing time series and showcasing the code and description by several examples. This book introduces the underpinnings of R-INLA …