Numerical Methods for Laplace Transform Inversion

Numerical Methods for Laplace Transform Inversion
Author: Alan M. Cohen
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2007-06-16
Genre: Mathematics
ISBN: 0387688552

This book gives background material on the theory of Laplace transforms, together with a fairly comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

Complex Variables and the Laplace Transform for Engineers

Complex Variables and the Laplace Transform for Engineers
Author: Wilbur R. LePage
Publisher: Courier Corporation
Total Pages: 516
Release: 2012-04-26
Genre: Technology & Engineering
ISBN: 0486136442

Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.

An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series
Author: P.P.G. Dyke
Publisher: Springer Science & Business Media
Total Pages: 257
Release: 2012-12-06
Genre: Mathematics
ISBN: 1447105052

This introduction to Laplace transforms and Fourier series is aimed at second year students in applied mathematics. It is unusual in treating Laplace transforms at a relatively simple level with many examples. Mathematics students do not usually meet this material until later in their degree course but applied mathematicians and engineers need an early introduction. Suitable as a course text, it will also be of interest to physicists and engineers as supplementary material.

A First Course in Partial Differential Equations

A First Course in Partial Differential Equations
Author: H. F. Weinberger
Publisher: Courier Corporation
Total Pages: 482
Release: 2012-04-20
Genre: Mathematics
ISBN: 0486132048

Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the elementary theory of complex variables. Solutions. 1965 edition.

Introduction to Complex Variables and Applications

Introduction to Complex Variables and Applications
Author: Mark J. Ablowitz
Publisher: Cambridge University Press
Total Pages: 422
Release: 2021-03-25
Genre: Mathematics
ISBN: 110896334X

The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising in applications. This introduction to complex variables, suitable as a text for a one-semester course, has been written for undergraduate students in applied mathematics, science, and engineering. Based on the authors' extensive teaching experience, it covers topics of keen interest to these students, including ordinary differential equations, as well as Fourier and Laplace transform methods for solving partial differential equations arising in physical applications. Many worked examples, applications, and exercises are included. With this foundation, students can progress beyond the standard course and explore a range of additional topics, including generalized Cauchy theorem, Painlevé equations, computational methods, and conformal mapping with circular arcs. Advanced topics are labeled with an asterisk and can be included in the syllabus or form the basis for challenging student projects.

Complex Variables with Applications

Complex Variables with Applications
Author: Saminathan Ponnusamy
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2007-05-26
Genre: Mathematics
ISBN: 0817645136

Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

Ordinary Differential Equations

Ordinary Differential Equations
Author: Morris Tenenbaum
Publisher: Courier Corporation
Total Pages: 852
Release: 1985-10-01
Genre: Mathematics
ISBN: 0486649407

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Applied Engineering Analysis

Applied Engineering Analysis
Author: Tai-Ran Hsu
Publisher: John Wiley & Sons
Total Pages: 541
Release: 2018-04-30
Genre: Technology & Engineering
ISBN: 1119071208

A resource book applying mathematics to solve engineering problems Applied Engineering Analysis is a concise textbookwhich demonstrates how toapply mathematics to solve engineering problems. It begins with an overview of engineering analysis and an introduction to mathematical modeling, followed by vector calculus, matrices and linear algebra, and applications of first and second order differential equations. Fourier series and Laplace transform are also covered, along with partial differential equations, numerical solutions to nonlinear and differential equations and an introduction to finite element analysis. The book also covers statistics with applications to design and statistical process controls. Drawing on the author's extensive industry and teaching experience, spanning 40 years, the book takes a pedagogical approach and includes examples, case studies and end of chapter problems. It is also accompanied by a website hosting a solutions manual and PowerPoint slides for instructors. Key features: Strong emphasis on deriving equations, not just solving given equations, for the solution of engineering problems. Examples and problems of a practical nature with illustrations to enhance student’s self-learning. Numerical methods and techniques, including finite element analysis. Includes coverage of statistical methods for probabilistic design analysis of structures and statistical process control (SPC). Applied Engineering Analysis is a resource book for engineering students and professionals to learn how to apply the mathematics experience and skills that they have already acquired to their engineering profession for innovation, problem solving, and decision making.