Stability of Functional Equations in Several Variables, D.H. Hyers; G. Isac; Themistocles Rassias
Автор: Takeo Ohsawa Название: L? Approaches in Several Complex Variables ISBN: 4431562966 ISBN-13(EAN): 9784431562962 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L Estimates.- Basics of Hilb
ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.
Автор: Sahoo Название: Introduction to Functional Equations ISBN: 143984111X ISBN-13(EAN): 9781439841112 Издательство: Taylor&Francis Рейтинг: Цена: 31390.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values.
In order to make the presentation as manageable as possible for students from a variety of disciplines, the book chooses not to focus on functional equations where the unknown functions take on values on algebraic structures such as groups, rings, or fields. However, each chapter includes sections highlighting various developments of the main equations treated in that chapter. For advanced students, the book introduces functional equations in abstract domains like semigroups, groups, and Banach spaces.
Functional equations covered include:
Cauchy Functional Equations and Applications
The Jensen Functional Equation
Pexider's Functional Equation
Quadratic Functional Equation
D'Alembert Functional Equation
Trigonometric Functional Equations
Pompeiu Functional Equation
Hosszu Functional Equation
Davison Functional Equation
Abel Functional Equation
Mean Value Type Functional Equations
Functional Equations for Distance Measures
The innovation of solving functional equations lies in finding the right tricks for a particular equation. Accessible and rooted in current theory, methods, and research, this book sharpens mathematical competency and prepares students of mathematics and engineering for further work in advanced functional equations.
Автор: D.H. Hyers; G. Isac; Themistocles Rassias Название: Stability of Functional Equations in Several Variables ISBN: 146127284X ISBN-13(EAN): 9781461272847 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In addition to the main topic of the stability of certain functional equa- tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points.
Автор: Serge Lang Название: Calculus of Several Variables ISBN: 1461270014 ISBN-13(EAN): 9781461270010 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, 1. This forms a coherent whole.
Автор: Steven G. Krantz Название: A Handbook of Real Variables ISBN: 146126409X ISBN-13(EAN): 9781461264095 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.
Автор: Rassias John Michael Et Al Название: Functional Equations And Inequalities: Solutions And Stability Results ISBN: 9813147601 ISBN-13(EAN): 9789813147607 Издательство: World Scientific Publishing Рейтинг: Цена: 15523.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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. remove
Автор: Rassias John Michael Et Al Название: Functional Equations And Inequalities: Solutions And Stability Results ISBN: 9813149973 ISBN-13(EAN): 9789813149977 Издательство: World Scientific Publishing Рейтинг: Цена: 7603.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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. remove
Описание: This text reviews material from more than 300 publications on the oscillation theory of difference and functional differential equations of various types.
Автор: Yeol Je Cho; Choonkil Park; Themistocles M. Rassia Название: Stability of Functional Equations in Banach Algebras ISBN: 3319187074 ISBN-13(EAN): 9783319187075 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book.
Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).
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