Complex Variables and the Laplace Transform for Engineers

Complex Variables and the Laplace Transform for Engineers
Author :
Publisher : Courier Corporation
Total Pages : 516
Release :
ISBN-10 : 9780486136448
ISBN-13 : 0486136442
Rating : 4/5 (48 Downloads)

Book Synopsis Complex Variables and the Laplace Transform for Engineers by : Wilbur R. LePage

Download or read book Complex Variables and the Laplace Transform for Engineers written by Wilbur R. LePage and published by Courier Corporation. This book was released on 2012-04-26 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Variables and the Laplace Transform for Engineers

Complex Variables and the Laplace Transform for Engineers
Author :
Publisher :
Total Pages : 504
Release :
ISBN-10 : UOM:39015004473073
ISBN-13 :
Rating : 4/5 (73 Downloads)

Book Synopsis Complex Variables and the Laplace Transform for Engineers by : Wilbur R. Le Page

Download or read book Complex Variables and the Laplace Transform for Engineers written by Wilbur R. Le Page and published by . This book was released on 1961 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Complex Analysis and the Laplace Transform

An Introduction to Complex Analysis and the Laplace Transform
Author :
Publisher : CRC Press
Total Pages : 383
Release :
ISBN-10 : 9781000511123
ISBN-13 : 100051112X
Rating : 4/5 (23 Downloads)

Book Synopsis An Introduction to Complex Analysis and the Laplace Transform by : Vladimir Eiderman

Download or read book An Introduction to Complex Analysis and the Laplace Transform written by Vladimir Eiderman and published by CRC Press. This book was released on 2021-12-20 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering.

Engineering Applications of the Laplace Transform

Engineering Applications of the Laplace Transform
Author :
Publisher : Cambridge Scholars Publishing
Total Pages : 550
Release :
ISBN-10 : 9781527574267
ISBN-13 : 1527574261
Rating : 4/5 (67 Downloads)

Book Synopsis Engineering Applications of the Laplace Transform by : Y.H. Gangadharaiah

Download or read book Engineering Applications of the Laplace Transform written by Y.H. Gangadharaiah and published by Cambridge Scholars Publishing. This book was released on 2021-08-25 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 operating properties, finding inverse Laplace transformation through different methods, and describing transfer function applications for mechanical and electrical networks to develop input and output relationships. It also discusses solutions of initial value problems, the state-variables approach, and the solution of boundary value problems connected with partial differential equations.

An Introduction to Laplace Transforms and Fourier Series

An Introduction to Laplace Transforms and Fourier Series
Author :
Publisher : Springer Science & Business Media
Total Pages : 257
Release :
ISBN-10 : 9781447105053
ISBN-13 : 1447105052
Rating : 4/5 (53 Downloads)

Book Synopsis An Introduction to Laplace Transforms and Fourier Series by : P.P.G. Dyke

Download or read book An Introduction to Laplace Transforms and Fourier Series written by P.P.G. Dyke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Vector Analysis and Complex Variables in Engineering

Applications of Vector Analysis and Complex Variables in Engineering
Author :
Publisher : Springer Nature
Total Pages : 216
Release :
ISBN-10 : 9783030411688
ISBN-13 : 3030411680
Rating : 4/5 (88 Downloads)

Book Synopsis Applications of Vector Analysis and Complex Variables in Engineering by : Otto D. L. Strack

Download or read book Applications of Vector Analysis and Complex Variables in Engineering written by Otto D. L. Strack and published by Springer Nature. This book was released on 2020-04-18 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the application of mathematical methods and theorems tosolve engineering problems, rather than focusing on mathematical proofs. Applications of Vector Analysis and Complex Variables in Engineering explains the mathematical principles in a manner suitable for engineering students, who generally think quite differently than students of mathematics. The objective is to emphasize mathematical methods and applications, rather than emphasizing general theorems and principles, for which the reader is referred to the literature. Vector analysis plays an important role in engineering, and is presented in terms of indicial notation, making use of the Einstein summation convention. This text differs from most texts in that symbolic vector notation is completely avoided, as suggested in the textbooks on tensor algebra and analysis written in German by Duschek and Hochreiner, in the 1960s. The defining properties of vector fields, the divergence and curl, are introduced in terms of fluid mechanics. The integral theorems of Gauss (the divergence theorem), Stokes, and Green are introduced also in the context of fluid mechanics. The final application of vector analysis consists of the introduction of non-Cartesian coordinate systems with straight axes, the formal definition of vectors and tensors. The stress and strain tensors are defined as an application. Partial differential equations of the first and second order are discussed. Two-dimensional linear partial differential equations of the second order are covered, emphasizing the three types of equation: hyperbolic, parabolic, and elliptic. The hyperbolic partial differential equations have two real characteristic directions, and writing the equations along these directions simplifies the solution process. The parabolic partial differential equations have two coinciding characteristics; this gives useful information regarding the character of the equation, but does not help in solving problems. The elliptic partial differential equations do not have real characteristics. In contrast to most texts, rather than abandoning the idea of using characteristics, here the complex characteristics are determined, and the differential equations are written along these characteristics. This leads to a generalized complex variable system, introduced by Wirtinger. The vector field is written in terms of a complex velocity, and the divergence and the curl of the vector field is written in complex form, reducing both equations to a single one. Complex variable methods are applied to elliptical problems in fluid mechanics, and linear elasticity. The techniques presented for solving parabolic problems are the Laplace transform and separation of variables, illustrated for problems of heat flow and soil mechanics. Hyperbolic problems of vibrating strings and bars, governed by the wave equation are solved by the method of characteristics as well as by Laplace transform. The method of characteristics for quasi-linear hyperbolic partial differential equations is illustrated for the case of a failing granular material, such as sand, underneath a strip footing. The Navier Stokes equations are derived and discussed in the final chapter as an illustration of a highly non-linear set of partial differential equations and the solutions are interpreted by illustrating the role of rotation (curl) in energy transfer of a fluid.

Laplace Transforms, Numerical Methods & Complex Variables

Laplace Transforms, Numerical Methods & Complex Variables
Author :
Publisher : S. Chand Publishing
Total Pages :
Release :
ISBN-10 : 9789352838219
ISBN-13 : 9352838211
Rating : 4/5 (19 Downloads)

Book Synopsis Laplace Transforms, Numerical Methods & Complex Variables by : T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad

Download or read book Laplace Transforms, Numerical Methods & Complex Variables written by T. K. V. Iyengar, B. Krishna Gandhi, S. Ranganatham & M.V.S.S.N. Prasad and published by S. Chand Publishing. This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Laplace Transforms, Numerical Methods & Complex Variables