Equations And Inequalities


Equations And Inequalities
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Equations And Inequalities


Equations And Inequalities
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Author : Jiri Herman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Equations And Inequalities written by Jiri Herman 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.


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.



An Introduction To The Theory Of Functional Equations And Inequalities


An Introduction To The Theory Of Functional Equations And Inequalities
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Author : Marek Kuczma
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10

An Introduction To The Theory Of Functional Equations And Inequalities written by Marek Kuczma 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 2008-12-10 with Mathematics categories.


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)



Difference Equations And Inequalities


Difference Equations And Inequalities
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Author : Ravi P. Agarwal
language : en
Publisher: Marcel Dekker
Release Date : 1992

Difference Equations And Inequalities written by Ravi P. Agarwal and has been published by Marcel Dekker this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Difference equations categories.


Although their development paved the way for the development of differential equations, difference equations, in their diverse manifestations as mathematical models describing real life situations, have been considered as only the discrete analogs of differential equations. This monograph incorporat



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.



Multidimensional Integral Equations And Inequalities


Multidimensional Integral Equations And Inequalities
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Author : B.G. Pachpatte
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-26

Multidimensional Integral Equations And Inequalities written by B.G. Pachpatte 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 2011-07-26 with Mathematics categories.


Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists a very rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, which we hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with reasonable background in real analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.



Equations And Inequalities


Equations And Inequalities
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Author : Guido Walz
language : en
Publisher:
Release Date : 2021

Equations And Inequalities written by Guido Walz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


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".



Functional Equations And Inequalities


Functional Equations And Inequalities
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Author : John Michael Rassias
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-03-20

Functional Equations And Inequalities written by John Michael Rassias and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with categories.


This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy



Functional Equations Inequalities And Applications


Functional Equations Inequalities And Applications
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Author : Themistocles RASSIAS
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Functional Equations Inequalities And Applications written by Themistocles RASSIAS 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 2013-03-09 with Mathematics categories.


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.



Functional Equations And Inequalities In Several Variables


Functional Equations And Inequalities In Several Variables
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Author : Stefan Czerwik
language : en
Publisher: World Scientific
Release Date : 2002-05-14

Functional Equations And Inequalities In Several Variables written by Stefan Czerwik and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-14 with Mathematics categories.


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.



Linear Equations Inequalities And Functions


Linear Equations Inequalities And Functions
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Author : Wendy Lawson
language : en
Publisher: Trafford
Release Date : 2005

Linear Equations Inequalities And Functions written by Wendy Lawson and has been published by Trafford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.


Supplemental math textbook for high school students, with innovative features: - shortcuts in solving linear equations and inequalities - innovative techniques in solving by number line - innovative approaches in solving by graphing, using graphing calculators