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Finite-Dimensional Vector Spaces
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Paul Richard Halmos
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938 - even though he did not have a fellowship - to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to ...
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Calculus
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Robert T Smith
"Smith/Minton's Calculus, 3/e" focuses on student comprehension of calculus. The authors' writing style is clear and understandable, reminiscent of a classroom lecture, which enables students to better grasp techniques and acquire content mastery. Modern applications in examples and exercises connect the calculus with relevant and interesting ...
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Optimization by Vector Space Methods
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David Gilbert Luenberger
Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization ...
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Mathematical Analysis: Linear and Metric Structures and Continuity
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Mariano Giaquinta, Giuseppe Modica
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self ...
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Understanding Search Engines: Mathematical Modeling and Text Retrieval
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Michael W Berry, Murray Browne
The second edition of Understanding Search Engines: Mathematical Modeling and Text Retrieval follows the basic premise of the first edition by discussing many of the key design issues for building search engines and emphasizing the important role that applied mathematics can play in improving information retrieval. The authors discuss important ...
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Module Theory: An Approach to Linear Algebra
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Tom S Blyth
The aim of this textbook is to develop the basic properties of modules and to show their importance in the theory of linear algebra. It is intended to provide a self-contained course as well as to indicate how the theory may be developed in a number of more advanced directions. Throughout, numerous exercises will enable readers to consolidate ...
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Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications
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Pierre del Moral
This book contains a systematic and self-contained treatment of Feynman-Kac path measures, their genealogical and interacting particle interpretations, and their applications to a variety of problems arising in statistical physics, biology, and advanced engineering sciences. Topics include spectral analysis of Feynman-Kac-Schrodinger operators, ...
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Calculus in Vector Spaces, Second Edition, Revised Expanded
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Lawrence J Corwin, Corwin Corwin, Robert Szczarba
"Calculus in Vector Spaces" addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains ...
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Variational Methods in Partially Ordered Spaces
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Alfred Gopfert, Hassan Riahi, Christiane Tamer
In mathematical modeling of processes one often encounters optimization problems involving more than one objective function, so that Multiobjective Optimization (or Vector Optimization) has received new impetus. The growing interest in multiobjective problems, both from the theoretical point of view and as it concerns applications to real problems ...
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Linear spaces with few lines
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by
Klaus Metsch
This monograph surveys the theory of linear spaces and presents recent research results, such as the proof of the Dowling-Wilson conjecture. Typical methods used in combinatorics are developed so that the text can be understood by those without prior knowledge of the field.
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Hyperbolic Sets, Shadowing and Persistence for Noninvertible Mappings in Banach Spaces
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Bernhard Lani-Wayda, Bernard Lani-Wayda
This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested ...
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Linear Vector Spaces and Cartesian Tensors
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James K Knowles
Designed for a first year graduate course in Mechanics, this text brings together never before collected works on linear vector spaces, on which the author is a world renowned authority. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and ...
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Invariant and Quasiinvariant Measures in Infinite-Dimensional Topological Vector Spaces
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Gogi Pantsulaia
This monograph deals with certain aspects of the general theory of systems. The author develops the ergodic theory, which is the theory of quaslinvariant and invariant measures in such infinite-dimensional vector spaces which appear as models of various (physical, economic, genetic, linguistic, social, etc.) processes. The methods of ergodic ...
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Continuous Functions of Vector Variables
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Alberto Guzman
This text is an axiomatic treatment of the properties of continuous multivariable functions and related results from topology. Viewing multiple real variables as members of vector spaces, A. Guzman covers boundedness, extreme values and uniform continuity of functions, along with the connections between continuity and topological concepts such as ...
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Quadratic Forms in Infinite Dimensional Vector Spaces
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Dr. Herbert Gross
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Integration Theory
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Klaus Bichteler
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Vector spaces and matrices
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by
Robert McDowell Thrall, Leonard Tornheim
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Calculus in Vector Spaces
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Robert Henry Szczarba, Lawrence J. Corwin
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Linear Spaces and Differentiation Theory
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Alfred Frolicher, Andreas Kriegl, Alfred Fralicher
The extension of differential calculus to unnormed function spaces has been tried in a number of different ways by different writers, without any agreement being reached. Here, Frolicher and Kriegl propose a new theory which is a striking improvement on previous theories, both in its simplicity and in its applications to other branches of ...
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Vector Spaces and Matrices in Physics
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M C Jain
The theory of vector spaces and matrices is an essential part of the mathematical background required by physicists. Most books on the subject, however, do not adequately meet the requirements of physics courses-they tend to be either highly mathematical or too elementary. Books that focus on mathematical theory may render the subject too dry to ...
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Metric Affine Geometry
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Ernst Snapper
Innovative text treats a broad spectrum of topics in geometry and demonstrates how they can be developed from the axioms of linear algebra. Bibliography. Exercises.
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Finite translation planes
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T. G. Ostrom
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Evolution Processes and the Feynman-Kac Formula
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Brian Jefferies
The evolution of a physical system can often be described in terms of a semigroup of linear operators. Observations of the system may be modelled by a spectral measure. A combination of these basic objects produces a family of operator valued set functions, by which perturbations of the evolution are represented as path integrals. In this book, ...
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Quantitative Pareto Analysis by Cone Separation Technique
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Ignacy Kaliszewski
This monograph presents interactive mathematics within a self-contained framework, the cone separation technique. This framework affords a unified approach to multiple objective decision problems and their most common model, the vector optimization problem, regardless of their linear, discrete, continuous, convex, or nonconvex nature. With this ...
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Ordered linear spaces
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Graham Jameson
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