An Introduction to the Theory of Functional Equations and Inequalities

An Introduction to the Theory of Functional Equations and Inequalities PDF Author: Marek Kuczma
Publisher: Springer Science & Business Media
ISBN: 3764387483
Category : Mathematics
Languages : en
Pages : 595

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Book Description
Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)

An Introduction to the Theory of Functional Equations and Inequalities

An Introduction to the Theory of Functional Equations and Inequalities PDF Author: Marek Kuczma
Publisher: Springer Science & Business Media
ISBN: 3764387483
Category : Mathematics
Languages : en
Pages : 595

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Book Description
Marek Kuczma was born in 1935 in Katowice, Poland, and died there in 1991. After finishing high school in his home town, he studied at the Jagiellonian University in Kraków. He defended his doctoral dissertation under the supervision of Stanislaw Golab. In the year of his habilitation, in 1963, he obtained a position at the Katowice branch of the Jagiellonian University (now University of Silesia, Katowice), and worked there till his death. Besides his several administrative positions and his outstanding teaching activity, he accomplished excellent and rich scientific work publishing three monographs and 180 scientific papers. He is considered to be the founder of the celebrated Polish school of functional equations and inequalities. "The second half of the title of this book describes its contents adequately. Probably even the most devoted specialist would not have thought that about 300 pages can be written just about the Cauchy equation (and on some closely related equations and inequalities). And the book is by no means chatty, and does not even claim completeness. Part I lists the required preliminary knowledge in set and measure theory, topology and algebra. Part II gives details on solutions of the Cauchy equation and of the Jensen inequality [...], in particular on continuous convex functions, Hamel bases, on inequalities following from the Jensen inequality [...]. Part III deals with related equations and inequalities (in particular, Pexider, Hosszú, and conditional equations, derivations, convex functions of higher order, subadditive functions and stability theorems). It concludes with an excursion into the field of extensions of homomorphisms in general." (Janos Aczel, Mathematical Reviews) "This book is a real holiday for all the mathematicians independently of their strict speciality. One can imagine what deliciousness represents this book for functional equationists." (B. Crstici, Zentralblatt für Mathematik)

Equations and Inequalities

Equations and Inequalities PDF Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1461212707
Category : Mathematics
Languages : en
Pages : 344

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Book Description
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

Functional Equations, Inequalities and Applications

Functional Equations, Inequalities and Applications PDF Author: Themistocles RASSIAS
Publisher: Springer Science & Business Media
ISBN: 940170225X
Category : Mathematics
Languages : en
Pages : 224

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Book Description
Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.

Equations and Inequalities

Equations and Inequalities PDF Author: Guido Walz
Publisher: Springer Nature
ISBN: 3658327200
Category : Algebra
Languages : en
Pages : 51

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Book Description
The book teaches the basics of solving equations and inequalities in easily understandable language. One of the main topics is the solving of quadratic equations, regardless of whether they already exist in normal form or have to be brought into it first. The author treats the p-q formula and the midnight formula as tools for this purpose. In addition, the book deals with linear equations and, in general, with the question of which manipulations one may make on an equation without changing its solutions. Furthermore, the most important inequalities are treated and strategies for their solution are shown. This Springer essential is a translation of the original German 1st edition essentials, Gleichungen und Ungleichungen by Guido Walz, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors. The content Solving equations Linear and quadratic equations Solving inequalities The target groups First-year students in technical, natural science or economic study programmes Practitioners of the same fields The Author Dr. Guido Walz is professor of applied mathematics at the Wilhelm Büchner University, Darmstadt, Germany and lecturer at the Baden-Wuerttemberg Cooperative State University, editor of the five-volume "Lexikon der Mathematik" as well as author of numerous specialist publications and textbooks, e.g. "Mathematik für Hochschule und duales Studium".

Sea Creatures

Sea Creatures PDF Author: Lori Barker
Publisher: Teacher Created Materials
ISBN: 9781433334573
Category : Juvenile Nonfiction
Languages : en
Pages : 32

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Book Description
Using examples from marine life, provides information on how to solve mathematical problems of equations and inequalities.

Functional Equations and Inequalities in Several Variables

Functional Equations and Inequalities in Several Variables PDF Author: Stefan Czerwik
Publisher: World Scientific
ISBN: 9789810248376
Category : Mathematics
Languages : en
Pages : 410

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Book Description
This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with ? for the first time in the mathematical literature. The book contains many fresh results concerning those problems.

Practical Use of Mathcad®

Practical Use of Mathcad® PDF Author: Hans Benker
Publisher: Springer Science & Business Media
ISBN: 9781852331665
Category : Computers
Languages : en
Pages : 505

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Book Description
This comprehensive book illustrates how MathCAD can be used to solve many mathematical tasks, and provides the mathematical background to the MathCAD package. Based on the latest Version 8 Professional for Windows, this book Market: contains many solutions to basic mathematical tasks and is designed to be used as both a reference and tutorial for lecturers and students, as well as a practical manual for engineers, mathematicians and computer scientists.

Functional Equations and Inequalities with Applications

Functional Equations and Inequalities with Applications PDF Author: Palaniappan Kannappan
Publisher: Springer Science & Business Media
ISBN: 0387894926
Category : Mathematics
Languages : en
Pages : 810

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Book Description
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.

Land Animals

Land Animals PDF Author: Lori Barker
Publisher: Teacher Created Materials
ISBN: 9781433334566
Category : Juvenile Nonfiction
Languages : en
Pages : 32

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Book Description
Using examples from land animals, provides information on how to solve mathematical problems of equations and inequalities.

Special Secondary Schools For The Mathematically Talented: An International Panorama

Special Secondary Schools For The Mathematically Talented: An International Panorama PDF Author: Bruce R Vogeli
Publisher: World Scientific
ISBN: 981466748X
Category : Mathematics
Languages : en
Pages : 456

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Book Description
A review of 100 special schools for the mathematically talented students in twenty nations. Appendices contain sample syllabi, tests and documents.