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Author: B. Davies Publisher: Springer Science & Business Media ISBN: 1475755120 Category : Mathematics Languages : en Pages : 427
Book Description
This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.
Author: B. Davies Publisher: Springer Science & Business Media ISBN: 1475755120 Category : Mathematics Languages : en Pages : 427
Book Description
This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.
Author: Xiao-Jun Yang Publisher: Academic Press ISBN: 0128040327 Category : Mathematics Languages : en Pages : 263
Book Description
Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. - Provides applications of local fractional Fourier Series - Discusses definitions for local fractional Laplace transforms - Explains local fractional Laplace transforms coupled with analytical methods
Author: Baidyanath Patra Publisher: CRC Press ISBN: 0429994338 Category : Mathematics Languages : en Pages : 389
Book Description
'An Introduction to Integral Transforms' is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced level for convenience of its readers. Pre‐requisite for understanding the subject matter of the book is some knowledge on the complex variable techniques. Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.
Author: K. Wolf Publisher: Springer Science & Business Media ISBN: 1475708726 Category : Science Languages : en Pages : 495
Book Description
Integral transforms are among the main mathematical methods for the solution of equations describing physical systems, because, quite generally, the coupling between the elements which constitute such a system-these can be the mass points in a finite spring lattice or the continuum of a diffusive or elastic medium-prevents a straightforward "single-particle" solution. By describing the same system in an appropriate reference frame, one can often bring about a mathematical uncoupling of the equations in such a way that the solution becomes that of noninteracting constituents. The "tilt" in the reference frame is a finite or integral transform, according to whether the system has a finite or infinite number of elements. The types of coupling which yield to the integral transform method include diffusive and elastic interactions in "classical" systems as well as the more common quantum-mechanical potentials. The purpose of this volume is to present an orderly exposition of the theory and some of the applications of the finite and integral transforms associated with the names of Fourier, Bessel, Laplace, Hankel, Gauss, Bargmann, and several others in the same vein. The volume is divided into four parts dealing, respectively, with finite, series, integral, and canonical transforms. They are intended to serve as independent units. The reader is assumed to have greater mathematical sophistication in the later parts, though.
Author: Lokenath Debnath Publisher: CRC Press ISBN: 1420010913 Category : Mathematics Languages : en Pages : 723
Book Description
Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.
Author: Naum Il_ich Akhiezer Publisher: American Mathematical Soc. ISBN: 0821845241 Category : Mathematics Languages : en Pages : 118
Book Description
Focuses on classical integral transforms, principally the Fourier transform, and their applications. This book develops the general theory of the Fourier transform for the space $L DEGREES1(E_n)$ of integrable functions of $n$ var
Author: Renato Machado Cotta Publisher: CRC Press ISBN: 1000099407 Category : Technology & Engineering Languages : en Pages : 351
Book Description
Integral Transforms in Computational Heat and Fluid Flow is a comprehensive volume that emphasizes the generalized integral transform technique (G.I.T.T.) and the developments that have made the technique a powerful computational tool of practical interest. The book progressively demonstrates the approach through increasingly difficult extensions and test problems. It begins with an overview of the generalized integral transform technique in contrast with classical analytical ideas. Various applications are presented throughout the book, including transient fin analysis with time-dependent surface dissipation, laminar forced convection inside externally finned tubes, metals oxidation at high temperatures, forced convection in liquid metals, and Navier-Stokes equations.
Author: Saburou Saitoh Publisher: CRC Press ISBN: 1000158047 Category : Mathematics Languages : en Pages : 300
Book Description
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
Author: Brian Davies Publisher: Springer Science & Business Media ISBN: 1468492837 Category : Mathematics Languages : en Pages : 380
Book Description
This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.
Author: B. Davies
Author: B. Davies
Author: Xiao-Jun Yang
Author: Baidyanath Patra
Author: K. Wolf
Author: Larry C. Andrews
Author: Lokenath Debnath
Author: Naum Il_ich Akhiezer
Author: Renato Machado Cotta
Author: Saburou Saitoh
Author: Brian Davies