Laplace Transforms and Their Applications to Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486788113
Total Pages : 241 pages
Book Rating : 4.4/5 (867 download)

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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 2014-11-19 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading. Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment of mathematical relationships, derivation of Laplace transforms of various functions, the Laplace transform for a finite interval, and other subjects. Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes. Dover (2014) republication of the 1962 (Dover) revised edition of Modern Operational Calculus with Applications in Technical Mathematics, Macmillan, London, 1948. See every Dover book in print at www.doverpublications.com

An Introduction to Laplace Transforms and Fourier Series

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Publisher : Springer Science & Business Media
ISBN 13 : 1447105052
Total Pages : 257 pages
Book Rating : 4.4/5 (471 download)

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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.

Applied Laplace Transforms and z-Transforms for Scientists and Engineers

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Publisher : Birkhäuser
ISBN 13 : 303487846X
Total Pages : 501 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Applied Laplace Transforms and z-Transforms for Scientists and Engineers by : Urs Graf

Download or read book Applied Laplace Transforms and z-Transforms for Scientists and Engineers written by Urs Graf and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.

Introductory Differential Equations

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Publisher : Academic Press
ISBN 13 : 012384665X
Total Pages : 211 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Introductory Differential Equations by : Martha L. Abell

Download or read book Introductory Differential Equations written by Martha L. Abell and published by Academic Press. This book was released on 2010-04-20 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Some schools might prefer to move the Laplace transform material to the second course, which is why we have placed the chapter on Laplace transforms in its location in the text. Ancillaries like Differential Equations with Mathematica and/or Differential Equations with Maple would be recommended and/or required ancillaries. Because many students need a lot of pencil-and-paper practice to master the essential concepts, the exercise sets are particularly comprehensive with a wide range of exercises ranging from straightforward to challenging. Many different majors will require differential equations and applied mathematics, so there should be a lot of interest in an intro-level text like this. The accessible writing style will be good for non-math students, as well as for undergrad classes.

The Laplace Transform

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Publisher : World Scientific
ISBN 13 : 9789971966737
Total Pages : 180 pages
Book Rating : 4.9/5 (667 download)

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Book Synopsis The Laplace Transform by : Richard Bellman

Download or read book The Laplace Transform written by Richard Bellman and published by World Scientific. This book was released on 1984 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theory of the Laplace Transform can open many new avenues when viewed from a modern, semi-classical point of view. In this book, the author re-examines the Laplace Transform and presents a study of many of the applications to differential equations, differential-difference equations and the renewal equation.

A First Course in Partial Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486132048
Total Pages : 482 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis A First Course in Partial Differential Equations by : H. F. Weinberger

Download or read book A First Course in Partial Differential Equations written by H. F. Weinberger and published by Courier Corporation. This book was released on 2012-04-20 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Differential Equations

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Publisher : Elsevier
ISBN 13 : 0443160597
Total Pages : 488 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Introductory Differential Equations by : Martha L. Abell

Download or read book Introductory Differential Equations written by Martha L. Abell and published by Elsevier. This book was released on 2023-12-21 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Differential Equations, Sixth Edition provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies. The book's accessible explanations and many robust sample problems are appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), for a second course in Fourier series and boundary value problems, and for students with no background on the subject. Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts Provides online support, including a full solutions manual for qualified instructors and a partial solutions manual for students

Transformation de Laplace et équations différentielles

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Transformation de Laplace et équations différentielles by : Charles Blanc

Download or read book Transformation de Laplace et équations différentielles written by Charles Blanc and published by . This book was released on 1943 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Transforms and Their Applications, Third Edition

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Publisher : CRC Press
ISBN 13 : 1482223570
Total Pages : 820 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Integral Transforms and Their Applications, Third Edition by : Lokenath Debnath

Download or read book Integral Transforms and Their Applications, Third Edition written by Lokenath Debnath and published by CRC Press. This book was released on 2014-11-07 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Differential Equations: From Calculus to Dynamical Systems: Second Edition

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Publisher : American Mathematical Soc.
ISBN 13 : 1470444003
Total Pages : 402 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Differential Equations: From Calculus to Dynamical Systems: Second Edition by : Virginia W. Noonburg

Download or read book Differential Equations: From Calculus to Dynamical Systems: Second Edition written by Virginia W. Noonburg and published by American Mathematical Soc.. This book was released on 2019-01-24 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

The Laplace Transform

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Publisher :
ISBN 13 : 9781475772616
Total Pages : 252 pages
Book Rating : 4.7/5 (726 download)

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Book Synopsis The Laplace Transform by : Joel L. Schiff

Download or read book The Laplace Transform written by Joel L. Schiff and published by . This book was released on 2014-01-15 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to the Theory and Application of the Laplace Transformation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642656900
Total Pages : 335 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Introduction to the Theory and Application of the Laplace Transformation by : G. Doetsch

Download or read book Introduction to the Theory and Application of the Laplace Transformation written by G. Doetsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: In anglo-american literature there exist numerous books, devoted to the application of the Laplace transformation in technical domains such as electrotechnics, mechanics etc. Chiefly, they treat problems which, in mathematical language, are governed by ordi nary and partial differential equations, in various physically dressed forms. The theoretical foundations of the Laplace transformation are presented usually only in a simplified manner, presuming special properties with respect to the transformed func tions, which allow easy proofs. By contrast, the present book intends principally to develop those parts of the theory of the Laplace transformation, which are needed by mathematicians, physicists a,nd engineers in their daily routine work, but in complete generality and with detailed, exact proofs. The applications to other mathematical domains and to technical prob lems are inserted, when the theory is adequately· developed to present the tools necessary for their treatment. Since the book proceeds, not in a rigorously systematic manner, but rather from easier to more difficult topics, it is suited to be read from the beginning as a textbook, when one wishes to familiarize oneself for the first time with the Laplace transforma tion. For those who are interested only in particular details, all results are specified in "Theorems" with explicitly formulated assumptions and assertions. Chapters 1-14 treat the question of convergence and the mapping properties of the Laplace transformation. The interpretation of the transformation as the mapping of one function space to another (original and image functions) constitutes the dom inating idea of all subsequent considerations.

Differential Equations

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Publisher : Courier Corporation
ISBN 13 : 0486143643
Total Pages : 226 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Differential Equations by : H. S. Bear

Download or read book Differential Equations written by H. S. Bear and published by Courier Corporation. This book was released on 2013-10-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.

Laplace Transforms

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Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)

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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:

From Combinatorics to Dynamical Systems

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Publisher : Walter de Gruyter
ISBN 13 : 3110200007
Total Pages : 257 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis From Combinatorics to Dynamical Systems by : Frederic Fauvet

Download or read book From Combinatorics to Dynamical Systems written by Frederic Fauvet and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme. Topics covered include irregular connections, rank reduction and summability of solutions of differential systems, asymptotic behaviour of divergent series, integrability of Hamiltonian systems, multiple zeta values, quasi-polynomial formalism, Padé approximants related to analytic integrability, hybrid systems. The interactions between computer algebra, dynamical systems and combinatorics discussed in this volume should be useful for both mathematicians and theoretical physicists who are interested in effective computation.

Laplace-Transformation

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Publisher : Springer-Verlag
ISBN 13 : 3322897478
Total Pages : 292 pages
Book Rating : 4.3/5 (228 download)

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Book Synopsis Laplace-Transformation by : Ameling Walter

Download or read book Laplace-Transformation written by Ameling Walter and published by Springer-Verlag. This book was released on 2013-03-09 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Laplace-Transformation

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Publisher : Springer-Verlag
ISBN 13 : 3663068102
Total Pages : 292 pages
Book Rating : 4.6/5 (63 download)

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Book Synopsis Laplace-Transformation by : Walter Ameling

Download or read book Laplace-Transformation written by Walter Ameling and published by Springer-Verlag. This book was released on 2013-04-17 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: