On Applications And Theory Of Functional Equations


On Applications And Theory Of Functional Equations
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On Applications And Theory Of Functional Equations


On Applications And Theory Of Functional Equations
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Author : J. Aczél
language : en
Publisher: Academic Press
Release Date : 2014-05-12

On Applications And Theory Of Functional Equations written by J. Aczél and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.


On Applications and Theory of Functional Equations focuses on the principles and advancement of numerical approaches used in functional equations. The publication first offers information on the history of functional equations, noting that the research on functional equations originated in problems related to applied mathematics. The text also highlights the influence of J. d'Alembert, S. D. Poisson, E. Picard, and A. L. Cauchy in promoting the processes of numerical analyses involving functional equations. The role of vectors in solving functional equations is also noted. The book ponders on the international Fifth Annual Meeting on Functional Equations, held in Waterloo, Ontario, Canada on April 24-30, 1967. The meeting gathered participants from America, Asia, Australia, and Europe. One of the topics presented at the meeting focuses on the survey of materials dealing with the progress of approaches in the processes and methodologies involved in solving problems dealing with functional equations. The influence, works, and contributions of A. L. Cauchy, G. Darboux, and G. S. Young to the field are also underscored. The publication is a valuable reference for readers interested in functional equations.



On Applications And Theory Of Functional Equations


On Applications And Theory Of Functional Equations
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Author : Janos Aczel
language : en
Publisher: Birkhauser
Release Date : 1980-01-01

On Applications And Theory Of Functional Equations written by Janos Aczel and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with categories.




On Functions And Functional Equations


On Functions And Functional Equations
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Author : J. Smital
language : en
Publisher: CRC Press
Release Date : 2020-08-26

On Functions And Functional Equations written by J. Smital and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.


On Functions and Functional Equations introduces the main topics in iteration theory and the theory of functional equations with emphasis on applications in the fields of mathematics, physics, biology, chemistry, and electronics and mechanical engineering. The book contains many classical results as well as important, more recent results. It also includes numerous exercise and some problems that have yet to be resolved. The book is accessible to readers having a secondary level mathematical education.



Handbook Of Functional Equations


Handbook Of Functional Equations
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2014-11-21

Handbook Of Functional Equations written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-21 with Mathematics categories.


This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications. The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature. The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchy–Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D’Alembert’s functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.



Functional Equations History Applications And Theory


Functional Equations History Applications And Theory
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Author : J. Aczél
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Functional Equations History Applications And Theory written by J. Aczél 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.


Approach your problems from It isn't that they can't see the right end and begin with the solution. It is that they the answers. Then one day, can't see the problem. perhaps you will find the G.K. Chesterton. The Scandal of final question. Father Brown 'The Point of a Pin' . 'The Hermit Clad ~n Crane Feathers' in R. van Gulik's The Chinese Haze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathe matics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) ~n re gional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are rele vant to filtering; and prediction and electrical en~ineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existinf, classifi~ation schemes. They draw upon widely different sections of mathematics.



Functional Equations History Applications And Theory


Functional Equations History Applications And Theory
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Author : J. Aczél
language : en
Publisher: Springer
Release Date : 1984-01-31

Functional Equations History Applications And Theory written by J. Aczél and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-31 with Mathematics categories.




Functional Equations In Several Variables


Functional Equations In Several Variables
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Author : J. Aczél
language : en
Publisher: Cambridge University Press
Release Date : 1989

Functional Equations In Several Variables written by J. Aczél and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.



Lectures On Functional Equations And Their Applications


Lectures On Functional Equations And Their Applications
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Author : J. Aczel
language : en
Publisher: Courier Corporation
Release Date : 2006-02-01

Lectures On Functional Equations And Their Applications written by J. Aczel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-01 with Mathematics categories.


Numerous detailed proofs highlight this treatment of functional equations. Starting with equations that can be solved by simple substitutions, the book then moves to equations with several unknown functions and methods of reduction to differential and integral equations. Also includes composite equations, equations with several unknown functions of several variables, vector and matrix equations, more. 1966 edition.



Functional Equations And Inequalities With Applications


Functional Equations And Inequalities With Applications
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Author : Palaniappan Kannappan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-10

Functional Equations And Inequalities With Applications written by Palaniappan Kannappan 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 2009-06-10 with Mathematics categories.


Functional Equations and Inequalities with Applications presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations. This self-contained monograph explores all aspects of functional equations and their applications to related topics, such as differential equations, integral equations, the Laplace transformation, the calculus of finite differences, and many other basic tools in analysis. Each chapter examines a particular family of equations and gives an in-depth study of its applications as well as examples and exercises to support the material.



Functional Equations With Casual Operators


Functional Equations With Casual Operators
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Author : C. Corduneanu
language : en
Publisher: G & B Pub
Release Date : 2001-11-01

Functional Equations With Casual Operators written by C. Corduneanu and has been published by G & B Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-01 with Mathematics categories.