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Mathematics


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Mathematics
Functional Analysis


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Featured Titles in Mathematics - Functional Analysis
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Mathematics and Its Applications #383: Asymptotic Attainability
Mathematics and Its Applications #383: Asymptotic Attainability
by A. G. Chentsov
Publisher Comments
This book deals with the construction of correct extensions of extremal problems including problems of multicriterial optimization and more general problems of optimization with respect to a cone. These questions need to be investigated, as extremal... (read more)

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Mathematics and Its Applications #559: Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
Mathematics and Its Applications #559: Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics
by L. S. Maergoiz
Publisher Comments
This revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical... (read more)

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Applied Functional Analysis (Pure and Applied Mathematics Series)
Applied Functional Analysis (Pure and Applied Mathematics Series)
by Jean-pierre Aubin
Publisher Comments
Mit diesem Buch verfolgt der Autor zwei Ziele: Erstens will er in die wichtigsten algebraischen Strukturen einführen, zweitens will er den Studenten helfen, ihre Fähigkeiten zum Arbeiten mit abstrakten Begriffen zu vervollkommnen. Die... (read more)

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Foundations of Modern Analysis (82 Edition)
Foundations of Modern Analysis (82 Edition)
by Avner Friedman
Publisher Comments
Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-... (read more)

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Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)
Banach Space Theory: The Basis for Linear and Nonlinear Analysis (CMS Books in Mathematics)
by Marian Fabian
Publisher Comments
Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related... (read more)

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International Mathematical #13: Around the Research of Vladimir Maz'ya III: Analysis and Applications
International Mathematical #13: Around the Research of Vladimir Maz'ya III: Analysis and Applications
by Ari Laptev
Publisher Comments
International Mathematical Series Volume 13 Around the Research of Vladimir Ma'z'ya III Analysis and Applications Edited by Ari Laptev More than 450 research articles and 20 books by Prof. Maz'ya contain numerous fundamental results and fruitful... (read more)

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Functional Analysis
Functional Analysis
by E. Suhubi
Publisher Comments
Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with... (read more)

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Generatingfunctionology
Generatingfunctionology
by Herbert S. Wilf
Publisher Comments
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics... (read more)

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Applied Optimization #22: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
Applied Optimization #22: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
by Masao Fukushima
Publisher Comments
The concept of `reformulation' has long played an important role in mathematical programming. A classical example is the penalization technique in constrained optimization. More recent trends consist of reformulation of various mathematical programming... (read more)

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Functional Analysis and Linear Control Theory
Functional Analysis and Linear Control Theory
by J R Leigh
Publisher Comments
Functional analysis provides a concise conceptual framework for linear control theory. This self-contained text, geared toward engineering students, demonstrates the subject's unity. It features a wide range of powerful theorems that illustrate inner... (read more)

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Lecture Notes in Mathematics #2007: Symmetries of Compact Riemann Surfaces
Lecture Notes in Mathematics #2007: Symmetries of Compact Riemann Surfaces
by Emilio Bujalance
Synopsis
This monograph covers symmetries of compact Riemann surfaces. It examines the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.... (read more)

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Function Theory on Planar Domains: A Second Course in Complex Analysis
Function Theory on Planar Domains: A Second Course in Complex Analysis
by Stephen D Fisher
Publisher Comments
A high-level treatment of complex analysis, this text focuses on function theory on a finitely connected planar domain. Clear and complete, it emphasizes domains bounded by a finite number of disjoint analytic simple closed curves. The first chapter... (read more)

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Approximate Calculation of Integrals
Approximate Calculation of Integrals
by V I Krylov
Publisher Comments
A systematic introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. In addition, it offers a useful reference for practical... (read more)

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Riemann Zeta-function (03 Edition)
Riemann Zeta-function (03 Edition)
by Aleksandar Ivic
Publisher Comments
"A thorough and easily accessible account." — MathSciNet, Mathematical Reviews on the Web, American Mathematical Society. This extensive survey presents a comprehensive and coherent account of Riemann zeta-function theory and applications... (read more)

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Real Analysis (4TH 10 Edition)
Real Analysis (4TH 10 Edition)
by Halsey Royden
Publisher Comments
Real Analysis, Fourth Edition, covers the basic material that every reader should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and... (read more)

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Cime Summer Schools #47: Pseudo-Differential Operators: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Stresa (Varese), Italy, August 26-Sep
Cime Summer Schools #47: Pseudo-Differential Operators: Lectures Given at the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Stresa (Varese), Italy, August 26-Sep
by Louis Nirenberg
Publisher Comments
S. Agmon: Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators.- J. Bokobza-Haggiag: Une définition globale des opérateurs pseudo-différentiels sur une variété différentiable.- L. Boutet de Monvel: Pseudo-differential... (read more)

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Methods of the Theory of Functions of Many Complex Variables
Methods of the Theory of Functions of Many Complex Variables
by Vasiliy Vladimirov
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This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients... (read more)

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Developments in Mathematics #5: Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions
Developments in Mathematics #5: Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions
by Stephen C. Milne
Publisher Comments
The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics. It goes back at least 2000 years to Diophantus, and continues more recently with the works of Fermat, Euler, Lagrange, Jacobi,... (read more)

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Schwarz-Pick Type Inequalities (Frontiers in Mathematics)
Schwarz-Pick Type Inequalities (Frontiers in Mathematics)
by Farit G. Avkhadiev
Publisher Comments
Gives a unified representation of recent generalisations of the Schwarz Lemma: best possible estimates of derivatives of higher order of analytic functions with given images The preparatory materials in the book are connected with topics that play a key... (read more)

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Self-Dual Partial Differential Systems and Their Variational Principles (Springer Monographs in Mathematics)
Self-Dual Partial Differential Systems and Their Variational Principles (Springer Monographs in Mathematics)
by Nassif Ghoussoub
Publisher Comments
Based on recent research by the author and his graduate students, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenable to the methods of the... (read more)

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