Tables of Integral Transforms. Vol.II. PDF Download
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Languages : en
Pages :
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Author:
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Category :
Languages : en
Pages :
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Author: Dr. B. B. Waphare
Publisher: Lulu Publication
ISBN: 1684742080
Category : Art
Languages : en
Pages : 16
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Book Description
1.1 Introduction In recent years, integral transforms have become essential working tools of every engineer and applied scientist. The Laplace transform, which undoubtedly is the most familiar example, is being suited to solving boundary value problems. The classical methods of solution of initial and boundary value problems in physics and engineering sciences have their roots in Fourier’s pioneering work. An alternative approach through integral transforms methods emerged primarily through Heaviside’s efforts on operational techniques. In addition to being of great theoretical interest to mathematicians, integral transform methods have been found to provide easy and effective ways of solving a variety of problems arising in engineering and physical science. The use of integral transforms is somewhat analogous to that of logarithms. That is, a problem involving multiplication or division can be reduced to one involving simple processes addition or subtraction by taking logarithms. For almost two centuries the method of function transformations has been used successfully in solving many problems in engineering, mathematical physics and applied mathematics. Function transformations include, but are not limited to the well-known technique of linear integral transformations. A function transformation simply means a mathematical operation through which a real or complex valued function f is transformed into an other F, or into a sequence of numbers, or more generally into a set of data. Since its birth in the 1780’s in the work of the great mathematician Laplace, on probability theory, the theory of function transformations has flourished and continues to do so. In the last few years, in particular, it has received a great impetus from the advent of wavelets. Not only is the wavelet transform an example of how practical function transformations can be, but it is also an example of a transformation that has gone beyond what it was designed to do as a technique. It has contributed to the development of modern mathematical analysis just as the Fourier transformation contributed to the advancement of classical analysis in the earliest years of the nineteenth century.
Author: Bateman Manuscript Project
Publisher:
ISBN:
Category : Transcendental functions
Languages : en
Pages : 424
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Author: Kazumi Watanabe
Publisher: Springer Science & Business Media
ISBN: 331900879X
Category : Technology & Engineering
Languages : en
Pages : 198
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Book Description
In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.
Author: United States. National Bureau of Standards
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 802
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Book Description
Author: Daniel Zwillinger
Publisher: Elsevier
ISBN: 0080471110
Category : Mathematics
Languages : en
Pages : 1220
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Book Description
The Table of Integrals, Series, and Products is the essential reference for integrals in the English language. Mathematicians, scientists, and engineers, rely on it when identifying and subsequently solving extremely complex problems. Since publication of the first English-language edition in 1965, it has been thoroughly revised and enlarged on a regular basis, with substantial additions and, where necessary, existing entries corrected or revised. The seventh edition includes a fully searchable CD-Rom.- Fully searchable CD that puts information at your fingertips included with text- Most up to date listing of integrals, series andproducts - Provides accuracy and efficiency in work
Author: I. S. Gradshteyn
Publisher: Academic Press
ISBN: 1483265641
Category : Mathematics
Languages : en
Pages : 1207
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Book Description
Table of Integrals, Series, and Products provides information pertinent to the fundamental aspects of integrals, series, and products. This book provides a comprehensive table of integrals. Organized into 17 chapters, this book begins with an overview of elementary functions and discusses the power of binomials, the exponential function, the logarithm, the hyperbolic function, and the inverse trigonometric function. This text then presents some basic results on vector operators and coordinate systems that are likely to be useful during the formulation of many problems. Other chapters consider inequalities that range from basic algebraic and functional inequalities to integral inequalities and fundamental oscillation and comparison theorems for ordinary differential equations. This book discusses as well the important part played by integral transforms. The final chapter deals with Fourier and Laplace transforms that provides so much information about other integrals. This book is a valuable resource for mathematicians, engineers, scientists, and research workers.
Author: R.A. Askey
Publisher: Springer Science & Business Media
ISBN: 9401097879
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Approach your problems from It isn't that they can't see the right end and begin with the solution. the answers. Then one day, It is that they can't see the perhaps you will find the problem. final question. G.K. Chesterton. The Scandal 'The Hermit Clad in Crane of Father Brown 'The Point of Feathers' in R. van Gulik's a Pin'. The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging SUbdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728
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Book Description
Author:
Publisher: Elsevier
ISBN: 0080956203
Category : Mathematics
Languages : en
Pages : 252
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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
