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Author : Floyd E. Nixon
Publisher : Unknown
Page : 314 pages
File Size : 51,7 Mb
Release : 1965
Category : Laplace transformation
ISBN : UOM:39015036232893
Author : Daniel Fleisch
Publisher : Cambridge University Press
Page : 221 pages
File Size : 52,7 Mb
Release : 2022-01-13
Category : Mathematics
ISBN : 9781009098496
Clear explanations and supportive online material develop an intuitive understanding of the meaning and use of Laplace.
Author : Alan M. Cohen
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 43,9 Mb
Release : 2007-06-16
Category : Mathematics
ISBN : 9780387688558
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.
Author : Floyd E. Nixon
Publisher : Unknown
Page : 134 pages
File Size : 54,5 Mb
Release : 1960
Category : Laplace transformation
ISBN : UOM:39015031265120
Author : Ahmed I. Zayed
Publisher : CRC Press
Page : 672 pages
File Size : 55,6 Mb
Release : 2019-08-21
Category : Mathematics
ISBN : 9780429610912
Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations. It is organized for convenient reference, with chapters broken down into the following sections:
Author : Morteza Shafii-Mousavi
Publisher : Research & Education Assoc.
Page : 188 pages
File Size : 47,5 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780738672458
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.
Author : Joel L. Schiff
Publisher : Unknown
Page : 252 pages
File Size : 44,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 1475772610
Author : Floyd E. Nixon
Publisher : Unknown
Page : 131 pages
File Size : 52,8 Mb
Release : 1965
Category : Laplace transformation
ISBN : OCLC:8787909
Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 1136 pages
File Size : 48,9 Mb
Release : 1996
Category : Mathematics
ISBN : STANFORD:36105018227962
This handbook brings together in a single volume the most important mathematical transforms used by engineers and scientists. It begins with a treatment of the delta function and some of the classical orthogonal functions. The book covers transforms such as Fourier Transforms, Cosine and Sine Transforms, Harley Transforms, Laplace Transforms, Z-Transforms, Hilbert Transforms, Radon and Abel Transforms, Time-Frequency Transformations, Wavelet Transforms, Hankel Transforms, and Mellin Transforms. Applications and examples are included.
Author : Joel L. Schiff
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 45,5 Mb
Release : 1999-10-14
Category : Mathematics
ISBN : 0387986987
The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + · · · + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6)? Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation.
Author : N.W. McLachlan
Publisher : Courier Corporation
Page : 241 pages
File Size : 53,5 Mb
Release : 2014-08-20
Category : Mathematics
ISBN : 9780486798233
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.
Author : Wilbur R. LePage
Publisher : Courier Corporation
Page : 516 pages
File Size : 46,8 Mb
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 9780486136448
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.
Author : Wolfgang Arendt,Charles J.K. Batty,Frank Neubrander
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 44,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783034850759
Linear evolution equations in Banach spaces have seen important developments in the last two decades. This is due to the many different applications in the theory of partial differential equations, probability theory, mathematical physics, and other areas, and also to the development of new techniques. One important technique is given by the Laplace transform. It played an important role in the early development of semigroup theory, as can be seen in the pioneering monograph by Rille and Phillips [HP57]. But many new results and concepts have come from Laplace transform techniques in the last 15 years. In contrast to the classical theory, one particular feature of this method is that functions with values in a Banach space have to be considered. The aim of this book is to present the theory of linear evolution equations in a systematic way by using the methods of vector-valued Laplace transforms. It is simple to describe the basic idea relating these two subjects. Let A be a closed linear operator on a Banach space X. The Cauchy problern defined by A is the initial value problern (t 2 0), (CP) {u'(t) = Au(t) u(O) = x, where x E X is a given initial value. If u is an exponentially bounded, continuous function, then we may consider the Laplace transform 00 u(>. ) = 1 e-). . tu(t) dt of u for large real>. .
Author : Alexander D. Poularikas
Publisher : CRC Press
Page : 911 pages
File Size : 44,6 Mb
Release : 2018-09-03
Category : Mathematics
ISBN : 9781420066531
Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.
Author : Anonim
Publisher : Cambridge University Press
Page : 468 pages
File Size : 53,8 Mb
Release : 2003-08-07
Category : Mathematics
ISBN : 0521534410
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.