Tournament of Books 2015
 
 

Mathematics
Functional Analysis


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Elements of the Theory of Functions and Functional Analysis
Elements of the Theory of Functions and Functional Analysis
by A N Kolmogorov
Publisher Comments
Based on the authors' courses and lectures, this two-part advanced-level text is now available in a single volume. Topics include metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, and more... (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
Mathematical development, the author of this text observes, comes about through specific, easily understood problems that require difficult solutions and demand the use of new methods. Richard Courant employs this instructive approach in a text that... (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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Non-Commutative Gelfand Theories: A Tool-Kit for Operator Theorists and Numerical Analysts (Universitext)
Non-Commutative Gelfand Theories: A Tool-Kit for Operator Theorists and Numerical Analysts (Universitext)
by Steffen Roch
Publisher Comments
<p>Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras that, in a sense, are not too far from being commutative. Essentially, the algebra... (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... (read more)

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Introductory Functional Analysis #127: Introductory Functional Analysis
Introductory Functional Analysis #127: Introductory Functional Analysis
by B. Daya Reddy
Publisher Comments
Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is... (read more)

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Applied Complex Variables (84 Edition)
Applied Complex Variables (84 Edition)
by John Dettman
Publisher Comments
Analytic function theory is a traditional subject going back to Cauchy and Riemann in the 19th century. Once the exclusive province of advanced mathematics students, its applications have proven vital to today's physicists and engineers. In this highly... (read more)

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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 the methods of applied functional analysis and applied convexity. Suitable for advanced undergraduates and graduate students of mathematics, science, and technology, it focuses on the solutions to two closely related problems. 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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International Society for Analysis, Applications and Computa #9: Analytic Extension Formulas and Their Applications
International Society for Analysis, Applications and Computa #9: Analytic Extension Formulas and Their Applications
by S. Saitoh
Publisher Comments
Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities,... (read more)

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Cambridge Studies in Advanced Mathematics #43: Absolutely Summing Operators
Cambridge Studies in Advanced Mathematics #43: Absolutely Summing Operators
by Joe Diestel
Publisher Comments
We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. This text provides the reader with basic knowledge of real and functional analysis, with an account of p... (read more)

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The Concept of a Riemann Surface
The Concept of a Riemann Surface
by Hermann Weyl
Publisher Comments
This classic on the general history of functions was written by one of the 20th century's best-known mathematicians. Weyl combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of... (read more)

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An Introduction to K-Theory for C*-Algebras
An Introduction to K-Theory for C*-Algebras
by F. Larsen
Publisher Comments
Over the past twenty-five years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to this interesting and rapidly growing area of mathematics. The authors cover the basic properties of the... (read more)

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Developments in Mathematics #9: An Introduction to Basic Fourier Series
Developments in Mathematics #9: An Introduction to Basic Fourier Series
by S. K. Suslov
Publisher Comments
This is an introductory volume on a novel theory of basic Fourier series, a new interesting research area in classical analysis and q-series. This research utilizes approximation theory, orthogonal polynomials, analytic functions, and numerical methods... (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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Banach Spaces of Analytic Functions
Banach Spaces of Analytic Functions
by Rita Hibschweiler
Publisher Comments
Eleven papers from the April 2006 special session study functions mapping the open unit disk in the Bloch space, Hardy and Bergman spaces, a vanishing mean oscillation space, Cauchy transforms, and Fock spaces. Other topics include the inverse of an... (read more)

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Topological Fixed Point Theory and Its Applications #6: Fixed Point Theory for Lipschitzian-Type Mappings with Applications
Topological Fixed Point Theory and Its Applications #6: Fixed Point Theory for Lipschitzian-Type Mappings with Applications
by Ravi P. Agarwal
Publisher Comments
In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self... (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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Local Representation Theory
Local Representation Theory
by J. L. Alperin
Publisher Comments
This text presents some of the key results in the representation theory of finite groups, and contains ample material for a one semester course.... (read more)

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Complex Dynamics (Universitext Series)
Complex Dynamics (Universitext Series)
by Lennart Carleson and Theofore W. Gamelin
Publisher Comments
A discussion of the properties of conformal mappings in the complex plane, closely related to the study of fractals and chaos. Indeed, the book ends in a detailed study of the famous Mandelbrot set, which describes very general properties of such... (read more)

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