Lectures On Functional Equations And Their Applications

Author : J. Aczel
Publisher : Courier Corporation
ISBN 13 : 0486445232
Total Pages : 548 pages
Book Rating : 4.36/5 ( download)

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Download or read book Lectures on Functional Equations and Their Applications written by J. Aczel and published by Courier Corporation. This book was released on 2006-02-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Joseph Aczél
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.23/5 ( download)

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Download or read book Lectures on Functional Equations and Their Applications written by Joseph Aczél and published by . This book was released on 1979 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Joseph Aczel
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.23/5 ( download)

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Download or read book Lectures on Functional Equations and Their Applications written by Joseph Aczel and published by . This book was released on 1966 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hansjörg Oser
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.15/5 ( download)

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Download or read book Lectures on Functional Equations and Their Applications written by Hansjörg Oser and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : David Leigh-Lancaster
Publisher : Aust Council for Ed Research
ISBN 13 : 0864314922
Total Pages : 130 pages
Book Rating : 4.25/5 ( download)

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Download or read book Functional Equations written by David Leigh-Lancaster and published by Aust Council for Ed Research. This book was released on 2006 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional equations provides mathematics teachers with an introduction to elementary aspects of functional equations. These equations are linked to function in various topics of the senior secondary mathematics curriculum including transformations, identities difference equations and mathematical modelling.

Author : J. Aczél
Publisher : Springer Science & Business Media
ISBN 13 : 9400937490
Total Pages : 175 pages
Book Rating : 4.99/5 ( download)

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Download or read book A Short Course on Functional Equations written by J. Aczél and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently I taught short courses on functional equations at several universities (Barcelona, Bern, Graz, Hamburg, Milan, Waterloo). My aim was to introduce the most important equations and methods of solution through actual (not artifi cial) applications which were recent and with which I had something to do. Most of them happened to be related to the social or behavioral sciences. All were originally answers to questions posed by specialists in the respective applied fields. Here I give a somewhat extended version of these lectures, with more recent results and applications included. As previous knowledge just the basic facts of calculus and algebra are supposed. Parts where somewhat more (measure theory) is needed and sketches of lengthier calcula tions are set in fine print. I am grateful to Drs. J. Baker (Waterloo, Ont.), W. Forg-Rob (Innsbruck, Austria) and C. Wagner (Knoxville, Tenn.) for critical remarks and to Mrs. Brenda Law for care ful computer-typing of the manuscript (in several versions). A note on numbering of statements and references: The numbering of Lemmata, Propositions, Theorems, Corollaries and (separately) formulae starts anew in each section. If quoted in another section, the section number is added, e.g. (2.10) or Theorem 1.2. References are quoted by the last names of the authors and the last two digits of the year, e.g. Daroczy-Losonczi [671. 1 1. An aggregation theorem for allocation problems. Cauchy equation for single-and multiplace functions. Two extension theorems.

Author : Palaniappan Kannappan
Publisher : Springer Science & Business Media
ISBN 13 : 0387894926
Total Pages : 817 pages
Book Rating : 4.28/5 ( download)

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Download or read book Functional Equations and Inequalities with Applications written by Palaniappan Kannappan and published by Springer Science & Business Media. This book was released on 2009-06-10 with total page 817 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : J. Aczél
Publisher : Springer Science & Business Media
ISBN 13 : 9400963203
Total Pages : 243 pages
Book Rating : 4.07/5 ( download)

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Download or read book Functional Equations: History, Applications and Theory written by J. Aczél and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Smital
Publisher : CRC Press
ISBN 13 : 9780852744185
Total Pages : 172 pages
Book Rating : 4.88/5 ( download)

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Download or read book On Functions and Functional Equations written by Smital and published by CRC Press. This book was released on 1988-01-01 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : B. Forte
Publisher : Springer Science & Business Media
ISBN 13 : 3642110045
Total Pages : 433 pages
Book Rating : 4.47/5 ( download)

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Download or read book Functional Equations and Inequalities written by B. Forte and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: J. Aczél: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les équations distributionnelles.- B. Forte: Applications of functional equations and inequalities to information theory.- S. Golab: Sur l’équation fonctionnelle des brigade.- E. Hille: Mean-values and functional equations.- J. Kampé de Feriet: Applications of functional equations and inequalities to information theory. Measure of information by a set of observers: a functional equation.- M. Kuczma: Convex functions.- S. Kurepa: Functional equations on vector spaces.- E. Lukacs: Inequalities and functional equations in probability theory.- M.A. McKiernan: Difference and mean-value type functional equations.- T.S. Motzkin: Solutions of differential and functional inequalities.- C.T. Ng: Uniqueness theorems in the theory of functional equations and related homotopy.- A.M. Ostrowski: Integral inequalities.- H. Schwerdtfeger: Remark on an inequality for monotonic functions.