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The Essentials Of Laplace Transforms
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Book Synopsis Laplace Transforms Essentials by : Morteza Shafii-Mousavi
Download or read book Laplace Transforms Essentials written by Morteza Shafii-Mousavi and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Laplace Transforms includes the Laplace transform, the inverse Laplace transform, special functions and properties, applications to ordinary linear differential equations, Fourier transforms, applications to integral and difference equations, applications to boundary value problems, and tables.
Book Synopsis Laplace Transforms by : K. A. Stroud
Download or read book Laplace Transforms written by K. A. Stroud and published by . This book was released on 1973 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Laplace Transforms by : Mohamed F. El-Hewie
Download or read book Laplace Transforms written by Mohamed F. El-Hewie and published by Createspace Independent Pub. This book was released on 2013-04-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a revised edition of the chapter on Laplace Transforms, which was published few years ago in Part II of My Personal Study Notes in advanced mathematics. In this edition, I typed the cursive scripts of the personal notes, edited the typographic errors, but most of all reproduced all the calculations and graphics in a modern style of representation. The book is organized into six chapters equally distributed to address: (1) The theory of Laplace transformations and inverse transformations of elementary functions, supported by solved examples and exercises with given answers; (2) Transformation of more complex functions from elementary transformation; (3) Practical applications of Laplace transformation to equations of motion of material bodies and deflection, stress, and strain of elastic beams; (4) Solving equations of state of motion of bodies under inertial and gravitational forces. (5) Solving heat flow equations through various geometrical bodies; and (6) Solving partial differential equations by the operational algebraic properties of transforming and inverse transforming of partial differential equations. During the editing process, I added plenty of comments of the underlying meaning of the arcane equations such that the reader could discern the practical weight of each mathematical formula. In a way, I attempted to convey a personal sense and feeling on the significance and philosophy of devising a mathematical equation that transcends into real-life emulation. The reader will find this edition dense with graphic illustrations that should spare the reader the trouble of searching other references in order to infer any missing steps. In my view, detailed graphic illustrations could soothe the harshness of arcane mathematical jargon, as well as expose the merits of the assumption contemplated in the formulation. In lieu of offering a dense textbook on Laplace Transforms, I opted to stick to my personal notes that give the memorable zest of a subject that could easily remembered when not frequently used. Brief Outline of Contents: CHAPTER 1. THE LAPLACE TRANSFORMATION AND INVERSE TRANSFORMATION 1.1. Integral transforms 1.2. Some elementary Laplace transforms 1.3. The Laplace transformation of the sum of two functions 1.4. Sectionally or piecewise continuous functions 1.5. Functions of exponential order 1.7. Null functions 1.8. Inverse Laplace transforms 1.10. Laplace transforms of derivatives 1.11. Laplace transforms of integrals 1.12. The first shift theorem of multiplying the object function by eat 1.15. Determination of the inverse Laplace transforms by the aid of partial fractions 1.16. Laplace's solution of linear differential equations with constant coefficients CHAPTER 2. GENERAL THEOREMS ON THE LAPLACE TRANSFORMATION 2.1. The unit step function 2.2. The second translation or shifting property 2.4. The unit impulse function 2.5. The unit doublet 2.7. Initial value theorem 2.8. Final value theorem 2.9. Differentiation of transform 2.11. Integration of transforms 2.12. Transforms of periodic functions 2.13. The product theorem-Convolution 2.15. Power series method for the determination of transforms and inverse transforms 2.16. The error function or probability integral 2.22. The inversion integral CHAPTER 3. ELECTRICAL APPLICATIONS OF THE LAPLACE TRANSFORMATION CHAPTER 4. DYNAMICAL APPLICATIONS OF LAPLACE TRANSFORMS CHAPTER 5. STRUCTURAL APPLICATIONS 5.1. Deflection of beams CHAPTER 6. USING LAPLACE TRANSFORMATION IN SOLVING LINEAR PARTIAL DIFFERENTIAL EQUATIONS 6.1. Transverse vibrations of a stretched string under gravity 6.2. Longitudinal vibrations of bars 6.3. Partial differential equations of transmission lines 6.4. Conduction of heat 6.5. Exercise on using Laplace Transformation in solving Linear Partial Differential Equations
Book Synopsis Laplace Transform (PMS-6) by : David Vernon Widder
Download or read book Laplace Transform (PMS-6) written by David Vernon Widder and published by Princeton University Press. This book was released on 2015-12-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book 6 in the Princeton Mathematical Series. Originally published in 1941. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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.
Download or read book Fourier and Laplace Transforms written by and published by Cambridge University Press. This book was released on 2003-08-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms. These transforms play an important role in the analysis of all kinds of physical phenomena. As a link between the various applications of these transforms the authors use the theory of signals and systems, as well as the theory of ordinary and partial differential equations. The book is divided into four major parts: periodic functions and Fourier series, non-periodic functions and the Fourier integral, switched-on signals and the Laplace transform, and finally the discrete versions of these transforms, in particular the Discrete Fourier Transform together with its fast implementation, and the z-transform. This textbook is designed for self-study. It includes many worked examples, together with more than 120 exercises, and will be of great value to undergraduates and graduate students in applied mathematics, electrical engineering, physics and computer science.
Book Synopsis A Student's Guide to Laplace Transforms by : Daniel Fleisch
Download or read book A Student's Guide to Laplace Transforms written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2022-01-13 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.
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.
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.
Book Synopsis Laplace Transforms and Their Applications to Differential Equations by : N.W. McLachlan
Download or read book Laplace Transforms and Their Applications to Differential Equations written by N.W. McLachlan and published by Courier Corporation. This book was released on 2014-08-20 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.
Book Synopsis Essentials of Mathematical Methods in Science and Engineering by : Selcuk S. Bayin
Download or read book Essentials of Mathematical Methods in Science and Engineering written by Selcuk S. Bayin and published by John Wiley & Sons. This book was released on 2019-12-04 with total page 1105 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the multidisciplinary applications of mathematical methods, revised and updated The second edition of Essentials of Mathematical Methods in Science and Engineering offers an introduction to the key mathematical concepts of advanced calculus, differential equations, complex analysis, and introductory mathematical physics for students in engineering and physics research. The book’s approachable style is designed in a modular format with each chapter covering a subject thoroughly and thus can be read independently. This updated second edition includes two new and extensive chapters that cover practical linear algebra and applications of linear algebra as well as a computer file that includes Matlab codes. To enhance understanding of the material presented, the text contains a collection of exercises at the end of each chapter. The author offers a coherent treatment of the topics with a style that makes the essential mathematical skills easily accessible to a multidisciplinary audience. This important text: • Includes derivations with sufficient detail so that the reader can follow them without searching for results in other parts of the book • Puts the emphasis on the analytic techniques • Contains two new chapters that explore linear algebra and its applications • Includes Matlab codes that the readers can use to practice with the methods introduced in the book Written for students in science and engineering, this new edition of Essentials of Mathematical Methods in Science and Engineering maintains all the successful features of the first edition and includes new information.
Book Synopsis Numerical Methods for Laplace Transform Inversion by : Alan M. Cohen
Download or read book Numerical Methods for Laplace Transform Inversion written by Alan M. Cohen and published by Springer Science & Business Media. This book was released on 2007-06-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Laplace Transforms by : Murray R. Spiegel
Download or read book Laplace Transforms written by Murray R. Spiegel and published by . This book was released on 1986 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations for Engineers by : David V. Kalbaugh
Download or read book Differential Equations for Engineers written by David V. Kalbaugh and published by CRC Press. This book was released on 2017-09-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.
Book Synopsis Differential Equations Workbook For Dummies by : Steven Holzner
Download or read book Differential Equations Workbook For Dummies written by Steven Holzner and published by John Wiley & Sons. This book was released on 2009-06-29 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Get the confidence and the skills you need to master differential equations! Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more! More than 100 Problems! Detailed, fully worked-out solutions to problems The inside scoop on first, second, and higher order differential equations A wealth of advanced techniques, including power series THE DUMMIES WORKBOOK WAY Quick, refresher explanations Step-by-step procedures Hands-on practice exercises Ample workspace to work out problems Online Cheat Sheet A dash of humor and fun
Book Synopsis Table of Laplace Transforms by : George E. Roberts
Download or read book Table of Laplace Transforms written by George E. Roberts and published by . This book was released on 1966 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
