The Calculus Of Operations
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The Calculus Of Operations
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Author : John Paterson
language : en
Publisher:
Release Date : 1850
The Calculus Of Operations written by John Paterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1850 with Calculus categories.
A Treatise On The Calculus Of Operations
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Author : Robert Carmichael
language : en
Publisher:
Release Date : 1855
A Treatise On The Calculus Of Operations written by Robert Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1855 with Mathematics categories.
Operational Calculus
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Author : Kosaku Yosida
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Operational Calculus written by Kosaku Yosida and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation of this operator p as given by him was difficult to understand and to use, and the range of the valid ity of his calculus remains unclear still now, although it was widely noticed that his calculus gives correct results in general. In the 1930s, Gustav Doetsch and many other mathematicians began to strive for the mathematical foundation of Heaviside's operational calculus by virtue of the Laplace transform -pt e f(t)dt. ( However, the use of such integrals naturally confronts restrictions con cerning the growth behavior of the numerical function f(t) as t ~ ~. At about the midcentury, Jan Mikusinski invented the theory of con volution quotients, based upon the Titchmarsh convolution theorem: If f(t) and get) are continuous functions defined on [O,~) such that the convolution f~ f(t-u)g(u)du =0, then either f(t) =0 or get) =0 must hold. The convolution quotients include the operator of differentiation "s" and related operators. Mikusinski's operational calculus gives a satisfactory basis of Heaviside's operational calculus; it can be applied successfully to linear ordinary differential equations with constant coefficients as well as to the telegraph equation which includes both the wave and heat equa tions with constant coefficients.
Operational Calculus And Related Topics
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Author : A. P. Prudnikov
language : en
Publisher: CRC Press
Release Date : 2006-08-15
Operational Calculus And Related Topics written by A. P. Prudnikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-15 with Mathematics categories.
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan
The Calculus Of Operations Classic Reprint
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Author : John Paterson
language : en
Publisher:
Release Date : 2016-06-14
The Calculus Of Operations Classic Reprint written by John Paterson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-14 with Mathematics categories.
Excerpt from The Calculus of Operations A desire to contribute something towards revealing the harmony and unity which really exists among several of the chiefest and most fundamental formulae of mathematical calculation, but which apparently stand in a somewhat isolated position with respect to each other, forms the complementary incentive to this publication. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Operational Calculus And Generalized Functions
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Author : Arthur Erdelyi
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24
Operational Calculus And Generalized Functions written by Arthur Erdelyi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.
Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
A Treatise On The Calculus Of Operations
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Author : Robert Carmichael
language : en
Publisher: Forgotten Books
Release Date : 2015-06-24
A Treatise On The Calculus Of Operations written by Robert Carmichael and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-24 with Mathematics categories.
Excerpt from A Treatise on the Calculus of Operations: Designed to Facilitate the Processes of the Differential and Integral Calculus and the Calculus of Finite Differences The want of a text-book on the Calculus of Operations has long been felt by mathematicians. The extensive practical bearings of the Differential and Integral Calculus, and the theoretic interest which is associated with the Calculus of Finite Differences, render it desirable that the processes required in these branches of analysis should be reduced and simplified as far as possible. To the student, the Calculus of Operations proposes to facilitate and abbreviate his labours, while, to the advanced mathematician, it offers a method which will enable him not only to arrive at known results with ease, and express them with elegance, but also to extend his investigations with certainty and rapidity. To illustrate, however inadequately, the power of this Calculus, is the object of the following Treatise. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
The Feynman Integral And Feynman S Operational Calculus
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Author : Gerald W. Johnson
language : en
Publisher: Oxford University Press on Demand
Release Date : 2000
The Feynman Integral And Feynman S Operational Calculus written by Gerald W. Johnson and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This book provides the most comprehensive mathematical treatment to date of the Feynman path integral and Feynman's operational calculus. It is accessible to mathematicians, mathematical physicists and theoretical physicists. Including new results and much material previously only available in the research literature, this book discusses both the mathematics and physics background that motivate the study of the Feynman path integral and Feynman's operational calculus, and also provides more detailed proofs of the central results.
Heaviside S Operational Calculus Made Easy
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Author : T. H. Turney
language : en
Publisher: Goldberg Press
Release Date : 2010-11
Heaviside S Operational Calculus Made Easy written by T. H. Turney and has been published by Goldberg Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11 with Mathematics categories.