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Operational Calculus

Operational Calculus Author Jan Mikusinski
ISBN-10 9781483278933
Release 2014-07-14
Pages 322
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Pure and Applied Mathematics, Volume 109: Operational Calculus, Second Edition. Volume I presents the foundations of operational calculus and its applications to physics and engineering. This book introduces the operators algebraically as a kind of fractions. Organized into three parts, this volume begins with an overview of the concept as well as the characteristics of a convolution of continuous functions. This text then examines the transitivity, associativity, and distributivity of convolution with regard to addition. Other parts consider the methods of solving other difference equations, particularly in the field of electrical engineering, in which the variable runs over integer values only. This book discusses as well the solution of differential equations under given initial conditions. The final part deals with the characteristic properties of a derivative and provides the definition of algebraic derivative to any operators. This book is a valuable resource for physicists, electrical engineers, mathematicians, and research workers.



International Series of Monographs in Pure and Applied Mathematics

International Series of Monographs in Pure and Applied Mathematics Author Jan Mikusiński
ISBN-10 0080250718
Release 1983
Pages
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International Series of Monographs in Pure and Applied Mathematics has been writing in one form or another for most of life. You can find so many inspiration from International Series of Monographs in Pure and Applied Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full International Series of Monographs in Pure and Applied Mathematics book for free.



Principles of Mathematical Analysis

Principles of Mathematical Analysis Author Walter Rudin
ISBN-10 0070856133
Release 1976
Pages 342
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The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.



Qualitative Analysis of Delay Partial Difference Equations

Qualitative Analysis of Delay Partial Difference Equations Author Binggen Zhang
ISBN-10 9789774540004
Release 2007
Pages 374
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Qualitative Analysis of Delay Partial Difference Equations has been writing in one form or another for most of life. You can find so many inspiration from Qualitative Analysis of Delay Partial Difference Equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Qualitative Analysis of Delay Partial Difference Equations book for free.



Operational Calculus

Operational Calculus Author Thomas K. Boehme
ISBN-10 9781483161457
Release 2014-08-01
Pages 264
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Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.



Fredholm Theory in Banach Spaces

Fredholm Theory in Banach Spaces Author Anthony Francis Ruston
ISBN-10 0521604931
Release 2004-06-03
Pages 304
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Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.



International Series of Monographs in Pure and Applied Mathematics

International Series of Monographs in Pure and Applied Mathematics Author Aleksandr Filippovich Timan
ISBN-10 UCAL:B4255973
Release 1963
Pages 631
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International Series of Monographs in Pure and Applied Mathematics has been writing in one form or another for most of life. You can find so many inspiration from International Series of Monographs in Pure and Applied Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full International Series of Monographs in Pure and Applied Mathematics book for free.



International Series of Monographs in Pure and Applied Mathematics

International Series of Monographs in Pure and Applied Mathematics Author Boris Mikhaĭlovich Budak
ISBN-10 UCAL:B4255976
Release 1964
Pages 770
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International Series of Monographs in Pure and Applied Mathematics has been writing in one form or another for most of life. You can find so many inspiration from International Series of Monographs in Pure and Applied Mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full International Series of Monographs in Pure and Applied Mathematics book for free.



The Publishers Trade List Annual

The Publishers  Trade List Annual Author
ISBN-10 UOM:39015085507518
Release 1978
Pages
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The Publishers Trade List Annual has been writing in one form or another for most of life. You can find so many inspiration from The Publishers Trade List Annual also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Publishers Trade List Annual book for free.



A Course of Higher Mathematics Elementary calculus

A Course of Higher Mathematics  Elementary calculus Author Vladimir Ivanovich Smirnov
ISBN-10 STANFORD:36105030093467
Release 1964
Pages 635
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Determinants the solution of systems of equations; Linear transformation and quadratic forms; The basic theory of group and linear representations of groups.



Introduction to Set Theory and Topology

Introduction to Set Theory and Topology Author Kazimierz Kuratowski
ISBN-10 9781483151632
Release 2014-07-10
Pages 352
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Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory. Concepts such as inverse limit, lattice, ideal, filter, commutative diagram, quotient-spaces, completely regular spaces, quasicomponents, and cartesian products of topological spaces are considered. This volume consists of 21 chapters organized into two sections and begins with an introduction to set theory, with emphasis on the propositional calculus and its application to propositions each having one of two logical values, 0 and 1. Operations on sets which are analogous to arithmetic operations are also discussed. The chapters that follow focus on the mapping concept, the power of a set, operations on cardinal numbers, order relations, and well ordering. The section on topology explores metric and topological spaces, continuous mappings, cartesian products, and other spaces such as spaces with a countable base, complete spaces, compact spaces, and connected spaces. The concept of dimension, simplexes and their properties, and cuttings of the plane are also analyzed. This book is intended for students and teachers of mathematics.



Introduction to Analysis

Introduction to Analysis Author Maxwell Rosenlicht
ISBN-10 9780486134680
Release 2012-05-04
Pages 272
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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.



Books in Series

Books in Series Author
ISBN-10 UOM:39015021462695
Release 1985
Pages
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Books in Series has been writing in one form or another for most of life. You can find so many inspiration from Books in Series also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Books in Series book for free.



The British National Bibliography

The British National Bibliography Author Arthur James Wells
ISBN-10 STANFORD:36105117845029
Release 1982
Pages
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The British National Bibliography has been writing in one form or another for most of life. You can find so many inspiration from The British National Bibliography also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The British National Bibliography book for free.



Distribution Theory and Transform Analysis

Distribution Theory and Transform Analysis Author A.H. Zemanian
ISBN-10 9780486151946
Release 2011-11-30
Pages 400
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Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.



Operational Calculus and Generalized Functions

Operational Calculus and Generalized Functions Author Arthur Erdelyi
ISBN-10 9780486497129
Release 2013-07-17
Pages 103
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"Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition"--



The Feynman Integral and Feynman s Operational Calculus

The Feynman Integral and Feynman s Operational Calculus Author Gerald W. Johnson
ISBN-10 0198515723
Release 2000
Pages 771
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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.