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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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Constructive Real Analysis (Dover Books on Mathematics)
Constructive Real Analysis (Dover Books on Mathematics)
by Allen A Goldstein
Publisher Comments
This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal problems, constraints, and infinite dimensional... (read more)

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Complex Integration & Cauchy's Theorem (Dover Books on Mathematics)
Complex Integration & Cauchy's Theorem (Dover Books on Mathematics)
by G N Watson
Publisher Comments
This brief monograph by one of the great mathematicians of the early 20th century offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Developing an arithmetical basis that avoids geometrical... (read more)

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Progress in Mathematics #289: Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions
Progress in Mathematics #289: Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions
by Fabrizio Colombo
Publisher Comments
<i>This book presents a functional calculus for <i>n</i>-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory... (read more)

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Foundations of Modern Analysis
Foundations of Modern Analysis
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-year... (read more)

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A First Look at Numerical Functional Analysis First Look at Numerical Functional Analysis
A First Look at Numerical Functional Analysis First Look at Numerical Functional Analysis
by W. W. Sawyer
Book News Annotation
Sawyer (1911-2008) introduces the theorems of classical analysis, reviews their original role in the historical setting, and explains their application in modern analysis. Intended for math majors familiar with linear algebra, the textbook discusses... (read more)

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Fr Chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Am-179) (Annals of Mathematics Studies)
Fr Chet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (Am-179) (Annals of Mathematics Studies)
by Joram Lindenstrauss
Publisher Comments
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in... (read more)

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Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
by Richard Courant
Publisher Comments
An examination of approaches to easy-to-understand but difficult-to-solve mathematical problems, this classic text begins with a discussion of Dirichlet's principle and the boundary value problem of potential theory, then proceeds to examinations of... (read more)

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Lineare Funktionalanalysis: Eine Anwendungsorientierte Einf Hrung (Springer-Lehrbuch Masterclass)
Lineare Funktionalanalysis: Eine Anwendungsorientierte Einf Hrung (Springer-Lehrbuch Masterclass)
by Hans Wilhelm Alt
Publisher Comments
"Die lineare Funktionalanalysis ist ein weitgehend kanonisiertes Teilgebiet der Mathematik, das in seiner Synthese von Algebra, Topologie und Analysis von großem ästhetischem Reiz ist. Das vorliegende Buch gibt eine geschlossene, geschickt aufgebaute... (read more)

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IMA Volumes in Mathematics and Its Applications #128: Decision Making Under Uncertainty: Energy and Power
IMA Volumes in Mathematics and Its Applications #128: Decision Making Under Uncertainty: Energy and Power
by Claude Greengard
Publisher Comments
In the ideal world, major decisions would be made based on complete and reliable information available to the decision maker. We live in a world of uncertainties, and decisions must be made from information which may be incomplete and may contain... (read more)

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Foundations of Real and Abstract Analysis
Foundations of Real and Abstract Analysis
by Douglas S. Bridges
Publisher Comments
The core chapters of this volume provide a complete course on metric, normed, and Hilbert spaces, and include many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and... (read more)

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Frontiers in Mathematics #29: Exponentially Convergent Algorithms for Abstract Differential Equations
Frontiers in Mathematics #29: Exponentially Convergent Algorithms for Abstract Differential Equations
by Ivan P Gavrilyuk
Publisher Comments
This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant... (read more)

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Springer Optimization and Its Applications #51: Minisum Hyperspheres
Springer Optimization and Its Applications #51: Minisum Hyperspheres
by Mark Christoph Korner
Publisher Comments
This book presents a self-contained introduction to the theory of minisum hyperspheres. This specialized research area within the larger field of geometric optimization is full of interesting and open problems. This work provides an overview of the... (read more)

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Functional Analysis for Probability and Stochastic Processes
Functional Analysis for Probability and Stochastic Processes
by Adam Bobrowski
Publisher Comments
This text is designed both for students of probability and stochastic processes, and for students of functional analysis.... (read more)

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de Gruyter Studies in Mathematics #19: Dirichlet Forms and Symmetric Markov Processes
de Gruyter Studies in Mathematics #19: Dirichlet Forms and Symmetric Markov Processes
by Masatoshi Fukushima
Book News Annotation
Japanese mathematicians Fukushima (Osaka U.), Yoichi Oshima (Kumamato U.), and Masayoshi Takeda (Tohoku U.) begin with an introductory and comprehensive account of the theory of (symmetric) Dirichlet forms, which they explain as an axiomatic extension... (read more)

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Theory of Linear Operations
Theory of Linear Operations
by Stefan Banach
Publisher Comments
Created by the founder of modern functional analysis, this is the first text on the theory of linear operators, written in 1932 and translated into English in 1987. In addition to the basics of the algebra of operators, this classic explores the calculus... (read more)

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Linear Functional Analysis
Linear Functional Analysis
by Bryan P. Rynne
Publisher Comments
This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in... (read more)

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Analysis in Vector Spaces: A Course in Advanced Calculus
Analysis in Vector Spaces: A Course in Advanced Calculus
by Mustafa A. Akcoglu
Publisher Comments
A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents... (read more)

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Boolean Algebras in Analysis
Boolean Algebras in Analysis
by D A Vladimirov
Publisher Comments
Boolean algebras underlie many central constructions of analysis, logic, probability theory, and cybernetics. This book concentrates on the analytical aspects of their theory and application, which distinguishes it among other sources. Boolean Algebras... (read more)

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Theoretical Numerical Analysis: A Functional Analysis Framework
Theoretical Numerical Analysis: A Functional Analysis Framework
by Kendall E. Atkinson
Publisher Comments
This textbook covers basic results of functional analysis and also some additional topics which are needed in theoretical numerical analysis. For this second edition, a new chapter on Fourier analysis and wavelets and over 140 new exercises have been... (read more)

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Progress in Nonlinear Differential Equations and Their Appli #49: Variational and Topological Methods in the Study of Nonlinear Phenomena
Progress in Nonlinear Differential Equations and Their Appli #49: Variational and Topological Methods in the Study of Nonlinear Phenomena
by V. Benci
Publisher Comments
This volume covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods. A broad range of topics is... (read more)

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