Integrals and Series: Direct Laplace transforms

Integrals and Series: Direct Laplace transforms
Author :
Publisher : CRC Press
Total Pages : 644
Release :
ISBN-10 : 2881248373
ISBN-13 : 9782881248375
Rating : 4/5 (73 Downloads)

Synopsis Integrals and Series: Direct Laplace transforms by : Anatoliĭ Platonovich Prudnikov

Volumes 4 and 5 of the extensive series Integrals and Series are devoted to tables of LaplaceTransforms. In these companion volumes the authors have collected data scatteredthroughout the literature, and have augmented this material with many unpublished resultsobtained in their own research.Volume 4 contains tables of direct Laplace transforms, a number of which are expressed interms of the Meijer G-function. When combined with the table of special cases, theseformulas can be used to obtain Laplace transforms of numerous elementary and specialfunctions of mathematical physics.Volume 5 offers tables of inversion formulas for the Laplace transformation and includestables of factorization and inversion of various integral transforms.

Integrals and Series

Integrals and Series
Author :
Publisher : Routledge
Total Pages : 644
Release :
ISBN-10 : 9781351437950
ISBN-13 : 135143795X
Rating : 4/5 (50 Downloads)

Synopsis Integrals and Series by : A.B Prudnikov

Volumes 4 and 5 of the extensive series Integrals and Series are devoted to tables of LaplaceTransforms. In these companion volumes the authors have collected data scatteredthroughout the literature, and have augmented this material with many unpublished resultsobtained in their own research.Volume 4 contains tables of direct Laplace transforms, a number of which are expressed interms of the Meijer G-function. When combined with the table of special cases, theseformulas can be used to obtain Laplace transforms of numerous elementary and specialfunctions of mathematical physics.Volume 5 offers tables of inversion formulas for the Laplace transformation and includestables of factorization and inversion of various integral transforms.

Integrals and Series: Direct Laplace transforms

Integrals and Series: Direct Laplace transforms
Author :
Publisher :
Total Pages : 798
Release :
ISBN-10 : 2881240895
ISBN-13 : 9782881240898
Rating : 4/5 (95 Downloads)

Synopsis Integrals and Series: Direct Laplace transforms by : Anatoliĭ Platonovich Prudnikov

Integral Transforms and Their Applications

Integral Transforms and Their Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 427
Release :
ISBN-10 : 9781475755121
ISBN-13 : 1475755120
Rating : 4/5 (21 Downloads)

Synopsis Integral Transforms and Their Applications by : B. Davies

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.

Integral Transforms and Their Applications

Integral Transforms and Their Applications
Author :
Publisher : Springer Science & Business Media
Total Pages : 380
Release :
ISBN-10 : 9781468492835
ISBN-13 : 1468492837
Rating : 4/5 (35 Downloads)

Synopsis Integral Transforms and Their Applications by : Brian Davies

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.

Integral Transforms of Generalized Functions

Integral Transforms of Generalized Functions
Author :
Publisher : CRC Press
Total Pages : 362
Release :
ISBN-10 : 2881247059
ISBN-13 : 9782881247057
Rating : 4/5 (59 Downloads)

Synopsis Integral Transforms of Generalized Functions by : Brychkov

English translation (from revised and enlarged versions of the Russian editions of 1977 and 1984) of a reference work which makes available to engineers, physicists and applied mathematicians theoretical and tabular material pertaining to certain extensions of standard integral transform techniques. Diverse transforms are touched upon, but the emphasis (particularly in the tables) is on generalized Fourier and Laplace transforms. Some multi-dimensional results are presented. Expensive, but nicely produced, and redundant with nothing standard to the reference shelves of mathematical libraries. (NW) Annotation copyrighted by Book News, Inc., Portland, OR

Integral Transforms and Their Applications, Third Edition

Integral Transforms and Their Applications, Third Edition
Author :
Publisher : CRC Press
Total Pages : 820
Release :
ISBN-10 : 9781482223576
ISBN-13 : 1482223570
Rating : 4/5 (76 Downloads)

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

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.

Table of Integrals, Series, and Products

Table of Integrals, Series, and Products
Author :
Publisher : Academic Press
Total Pages : 1207
Release :
ISBN-10 : 9781483265643
ISBN-13 : 1483265641
Rating : 4/5 (43 Downloads)

Synopsis Table of Integrals, Series, and Products by : I. S. Gradshteyn

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.