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Mathematics
Functional Analysis


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Introduction To Functional Equations Theory & Problem Solving Strategies for Mathematical Competitions & Beyond
Introduction To Functional Equations Theory & Problem Solving Strategies for Mathematical Competitions & Beyond
by Costas Efthimiou
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Efthimiou (U. of Central Florida) presents material from a lecture series he delivered as part of training a math team. Students with backgrounds ranging from function theory to differentiability should be able to follow the book, particularly high... (read more)

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Lecture Notes in Mathematics #1951: A Nonlinear Transfer Technique for Renorming
Lecture Notes in Mathematics #1951: A Nonlinear Transfer Technique for Renorming
by Stanimir Troyanski
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Abstract topological tools from generalized metric spaces are applied in this volume to the construction of locally uniformly rotund norms on Banach spaces. The book offers new techniques for renorming problems, all of them based on a network analysis... (read more)

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Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext)
Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext)
by Haim Brezis
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Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct "worlds," functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real... (read more)

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International Mathematical #10: Sobolev Spaces in Mathematics III: Applications in Mathematical Physics
International Mathematical #10: Sobolev Spaces in Mathematics III: Applications in Mathematical Physics
by Victor Isakov
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The mathematical works of S.L.Sobolev were strongly motivated by particular problems coming from applications. In his celebrated book Applications of Functional Analysis in Mathematical Physics, 1950 and other works, S.Sobolev introduced general methods... (read more)

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London Mathematical Society Lecture Note #116: Representations of Algebras: Proceedings of the Durham Symposium 1985
London Mathematical Society Lecture Note #116: Representations of Algebras: Proceedings of the Durham Symposium 1985
by P. J. Webb
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The latest developments in representation theory with emphasis on the representation type of finite-dimensional algebras.... (read more)

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Convergence and Applications of Newton-Type Iterations
Convergence and Applications of Newton-Type Iterations
by Ioannis Argyros
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This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input... (read more)

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An Introduction to Functional Analysis in Computational Mathematics
An Introduction to Functional Analysis in Computational Mathematics
by V. I. Lebedev
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Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. In terms of functional analysis, such... (read more)

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Invariant Subspaces
Invariant Subspaces
by Heydar Radjavi
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This broad survey spans a wealth of studies on invariant subspaces, focusing on operators on separable Hilbert space. Largely self-contained, it requires only a working knowledge of measure theory, complex analysis, and elementary functional analysis... (read more)

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Semigroups in Geometrical Function Theory
Semigroups in Geometrical Function Theory
by D. Shoikhet
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This manuscript provides an introduction to the generation theory of nonlinear one-parameter semigroups on a domain of the complex plane in the spirit of the Wolff-Denjoy and Hille-Yoshida theories. Special attention is given to evolution equations... (read more)

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Mathematics and Its Applications #57: Integral Inequalities and Applications
Mathematics and Its Applications #57: Integral Inequalities and Applications
by D. D. Bainov
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This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional... (read more)

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Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Table
by Milton Abramowitz
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Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and... (read more)

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Rearrangement Relatif: Un Instrument D'Estimations Dans les Problemes Aux Limites (Mathematiques & Applications)
Rearrangement Relatif: Un Instrument D'Estimations Dans les Problemes Aux Limites (Mathematiques & Applications)
by Jean Mich Rakotoson
Publisher Comments
L'objectif de ce livre est de présenter une méthode méconnue voire nouvelle basée sur le concept du réarrangement relatif qui est le sujet principal de ce livre. Pour ce faire, on a développé des propriétés du réarrangement monotone dont... (read more)

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Delta Functions: Second Edition
Delta Functions: Second Edition
by R. F. Hoskins
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Delta Functions has now been updated, restructured and modernized into a Second Edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform... (read more)

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Operator Theory: Advances and Applications #202: Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions
Operator Theory: Advances and Applications #202: Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions
by Joseph A. Ball
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This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in... (read more)

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On the Higher-Order Sheffer Orthogonal Polynomial Sequences (Springerbriefs in Mathematics)
On the Higher-Order Sheffer Orthogonal Polynomial Sequences (Springerbriefs in Mathematics)
by Daniel J Galiffa
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On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequences including additional higher... (read more)

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Lectures on Functional Equations and Their Applications
Lectures on Functional Equations and Their Applications
by J Aczel
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This systematic treatment of one of the oldest topics of mathematical analysis--the solution of functional equations--features numerous detailed proofs. Thorough and elementary in its approach, it will benefit upper-level undergraduates as well as... (read more)

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Real Numbers and Real Analysis (Edition Edition)
Real Numbers and Real Analysis (Edition Edition)
by Bloch Ethan
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This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.... (read more)

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Operator Theory: Advances and Applications #221: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theor
Operator Theory: Advances and Applications #221: Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations: 21st International Workshop on Operator Theor
by Wolfgang Arendt
Publisher Comments
The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the... (read more)

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Principles of Numerical Analysis
Principles of Numerical Analysis
by Alston Householder
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Both routines of numerical computation and those of high-speed digital computation rely on basic principles of numerical analysis. This text offers a clear and concise presentation by one of the authorities in the field. An excellent reference and study... (read more)

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Banach Spaces for Analysts
Banach Spaces for Analysts
by Przemysaw Wojtaszczyk
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This book is intended to be used with graduate courses in Banach space theory.... (read more)

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