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Download or read book Lectures on Mikusiński's Theory of Operational Calculus and Generalized Functions written by Arthur Erdélyi and published by . This book was released on 1959 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Arthur Erdelyi
Publisher: Courier Corporation
Published: 2013-07-24
Total Pages: 112
ISBN-13: 0486316327
DOWNLOAD EBOOKSuitable 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.
Download or read book Operational Calculus and Generalized Functions written by Arthur Erdelyi and published by Courier Corporation. This book was released on 2013-07-24 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author: Arthur Erdélyi
Publisher: Harcourt Brace College Publishers
Published: 1962
Total Pages: 118
ISBN-13:
DOWNLOAD EBOOKDownload or read book Operational Calculus and Generalized Functions written by Arthur Erdélyi and published by Harcourt Brace College Publishers. This book was released on 1962 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Lothar Berg
Publisher: Elsevier
Published: 2013-07-19
Total Pages: 305
ISBN-13: 0323162452
DOWNLOAD EBOOKIntroduction to the Operational Calculus is a translation of "Einfuhrung in die Operatorenrechnung, Second Edition." This book deals with Heaviside's interpretation, on the Laplace integral, and on Jan Mikusinki's fundamental work "Operational Calculus." Throughout the book, basic algebraic concepts appear as aids to understanding some relevant points of the subject. An important field for research in analysis is asymptotic properties. This text also discusses examples to show the potentialities in applying operational calculus that run beyond ordinary differential equations with constant coefficients. In using operational calculus to solve more complicated problems than those of ordinary differential equations with constant coefficients, the concept of convergence assumes a significant role in the field of operators. This book also extends the Laplace transformation and applies it to non-transformable functions. This text also present three methods in which operational calculus can be modified and become useful in solving specific ranges of problems. These methods pertain to the finite Laplace transformation, to partial differential equations, and to the Volterra integral equations and ordinary differential equations with variable coefficients. This book can prove valuable for mathematicians, students, and professor of calculus and advanced mathematics.
Download or read book Introduction To The Operational Calculus written by Lothar Berg and published by Elsevier. This book was released on 2013-07-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Operational Calculus is a translation of "Einfuhrung in die Operatorenrechnung, Second Edition." This book deals with Heaviside's interpretation, on the Laplace integral, and on Jan Mikusinki's fundamental work "Operational Calculus." Throughout the book, basic algebraic concepts appear as aids to understanding some relevant points of the subject. An important field for research in analysis is asymptotic properties. This text also discusses examples to show the potentialities in applying operational calculus that run beyond ordinary differential equations with constant coefficients. In using operational calculus to solve more complicated problems than those of ordinary differential equations with constant coefficients, the concept of convergence assumes a significant role in the field of operators. This book also extends the Laplace transformation and applies it to non-transformable functions. This text also present three methods in which operational calculus can be modified and become useful in solving specific ranges of problems. These methods pertain to the finite Laplace transformation, to partial differential equations, and to the Volterra integral equations and ordinary differential equations with variable coefficients. This book can prove valuable for mathematicians, students, and professor of calculus and advanced mathematics.
Author: A. P. Prudnikov
Publisher: Chapman and Hall/CRC
Published: 2006-08-15
Total Pages: 0
ISBN-13: 9781584886495
DOWNLOAD EBOOKEven 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 advances in the field. Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heaviside’s algebraic operational calculus and Paul Dirac’s delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusiński’s theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions. Benefits... · Discusses theory and applications of integral transforms · Gives inversion, complex-inversion, and Dirac’s delta distribution formulas, among others · Offers a short survey of actual results of finite integral transforms, in particular convolution theorems Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students.
Download or read book Operational Calculus and Related Topics written by A. P. Prudnikov and published by Chapman and Hall/CRC. This book was released on 2006-08-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 advances in the field. Combining the best features of a textbook and a monograph, this volume presents an introduction to operational calculus, integral transforms, and generalized functions, the backbones of pure and applied mathematics. The text examines both the analytical and algebraic aspects of operational calculus and includes a comprehensive survey of classical results while stressing new developments in the field. Among the historical methods considered are Oliver Heaviside’s algebraic operational calculus and Paul Dirac’s delta function. Other discussions deal with the conditions for the existence of integral transforms, Jan Mikusiński’s theory of convolution quotients, operator functions, and the sequential approach to the theory of generalized functions. Benefits... · Discusses theory and applications of integral transforms · Gives inversion, complex-inversion, and Dirac’s delta distribution formulas, among others · Offers a short survey of actual results of finite integral transforms, in particular convolution theorems Because Operational Calculus and Related Topics provides examples and illustrates the applications to various disciplines, it is an ideal reference for mathematicians, physicists, scientists, engineers, and students.
Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
Published: 1961
Total Pages: 2006
ISBN-13:
DOWNLOAD EBOOKIncludes Part 1, Number 1 & 2: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - December)
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1961 with total page 2006 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes Part 1, Number 1 & 2: Books and Pamphlets, Including Serials and Contributions to Periodicals (January - December)
Author: Banerjee, P.K.
Publisher: Scientific Publishers
Published: 2014-06-03
Total Pages: 123
ISBN-13: 9386237407
DOWNLOAD EBOOKThe text of the present book contains the basic mathematics about the theory and various researches conducted during the past. Mathematics involved, is made as simple as possible, in order to reach to every young researchers and the matured mathematicians. If not all, but maximum researches in this field have been included. The prerequisites to study this subject are real analysis, complex analysis and the functional analysis.
Download or read book Introduction To The Theory Of Boehmians written by Banerjee, P.K. and published by Scientific Publishers. This book was released on 2014-06-03 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text of the present book contains the basic mathematics about the theory and various researches conducted during the past. Mathematics involved, is made as simple as possible, in order to reach to every young researchers and the matured mathematicians. If not all, but maximum researches in this field have been included. The prerequisites to study this subject are real analysis, complex analysis and the functional analysis.
Author: Ioannis Antoniou
Publisher: CRC Press
Published: 2021-02-25
Total Pages: 360
ISBN-13: 1000657744
DOWNLOAD EBOOKNobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume." This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods.
Download or read book Generalized Functions, Operator Theory, and Dynamical Systems written by Ioannis Antoniou and published by CRC Press. This book was released on 2021-02-25 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nobel prize winner Ilya Prigogine writes in his preface: "Irreversibility is a challenge to mathematics...[which] leads to generalized functions and to an extension of spectral analysis beyond the conventional Hilbert space theory." Meeting this challenge required new mathematical formulations-obstacles met and largely overcome thanks primarily to the contributors to this volume." This compilation of works grew out of material presented at the "Hyperfunctions, Operator Theory and Dynamical Systems" symposium at the International Solvay Institutes for Physics and Chemistry in 1997. The result is a coherently organized collective work that moves from general, widely applicable mathematical methods to ever more specialized physical applications. Presented in two sections, part one describes Generalized Functions and Operator Theory, part two addresses Operator Theory and Dynamical Systems. The interplay between mathematics and physics is now more necessary than ever-and more difficult than ever, given the increasing complexity of theories and methods.
Author: Piotr Antosik
Publisher: World Scientific
Published: 1990-09-12
Total Pages: 398
ISBN-13: 9814611719
DOWNLOAD EBOOKThe conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Download or read book Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and published by World Scientific. This book was released on 1990-09-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Author: Iosyp Zakharovych Shtokalo
Publisher:
Published: 1976
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOKDownload or read book Operational Calculus written by Iosyp Zakharovych Shtokalo and published by . This book was released on 1976 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
