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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.



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.



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.



Non Linear Differential Equations

Non Linear Differential Equations Author G. Sansone
ISBN-10 9781483135960
Release 2016-06-06
Pages 550
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International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.



A Collection of Problems on Mathematical Physics

A Collection of Problems on Mathematical Physics Author B. M. Budak
ISBN-10 9781483184869
Release 2013-10-22
Pages 782
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A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.



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 Calculus

Introduction to Calculus Author Kazimierz Kuratowski
ISBN-10 9781483222622
Release 2014-07-14
Pages 332
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The English edition does not differ essentially from the Polish one. Among the more important supplements I should mention § 6.5 containing elementary information on the notation of mathematical logic. To this supplement I was inclined by the experience of many years. For many students (not for all, perhaps) the notation of definitions of certain notions by means of the logical symbols makes it easier to understand these notions (e.g. the notions of uniform continuity or uniform convergence). Besides that, this supplement is included in the book in such a manner that it can be omitted in reading the whole book. Among other changes introduced in the English text, I should mention the addition of a number of exercises and problems; in the second English edition, many of them have been collected in the Supplement. I am glad also to mention the simplification of certain proofs, and finally the removal of mistakes which were found in the primary text



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.



Operational Calculus and Related Topics

Operational Calculus and Related Topics Author A. P. Prudnikov
ISBN-10 1420011499
Release 2006-08-15
Pages 424
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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.



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.



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.



Mathematical Analysis

Mathematical Analysis Author L. A. Lyusternik
ISBN-10 9781483194363
Release 2014-07-15
Pages 418
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Mathematical Analysis: Functions, Limits, Series, Continued Fractions provides an introduction to the differential and integral calculus. This book presents the general problems of the theory of continuous functions of one and several variables, as well as the theory of limiting values for sequences of numbers and vectors. Organized into six chapters, this book begins with an overview of real numbers, the arithmetic linear continuum, limiting values, and functions of one variable. This text then presents the theory of series and practical methods of summation. Other chapters consider the theory of numerical series and series of functions and other analogous processes, particularly infinite continued fractions. This book discusses as well the general problems of the reduction of functions to orthogonal series. The final chapter deals with constants and the most important systems of numbers, including Bernoulli and Euler numbers. This book is a valuable resource for mathematicians, engineers, and research workers.



Integral transforms and operational calculus

Integral transforms and operational calculus Author Vitaliĭ Arsenʹevich Ditkin
ISBN-10 UOM:39015001318784
Release 1965
Pages 529
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Integral transforms and operational calculus has been writing in one form or another for most of life. You can find so many inspiration from Integral transforms and operational calculus also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Integral transforms and operational calculus book for free.



Understanding Real Analysis Second Edition

Understanding Real Analysis  Second Edition Author Paul Zorn
ISBN-10 9781315315065
Release 2017-11-22
Pages 336
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Understanding Real Analysis, Second Edition offers substantial coverage of foundational material and expands on the ideas of elementary calculus to develop a better understanding of crucial mathematical ideas. The text meets students at their current level and helps them develop a foundation in real analysis. The author brings definitions, proofs, examples and other mathematical tools together to show how they work to create unified theory. These helps students grasp the linguistic conventions of mathematics early in the text. The text allows the instructor to pace the course for students of different mathematical backgrounds.



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.