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ISBN: 9780821868683 Year: 2012 Volume: no. 1017 Publisher: Providence, R.I. American Mathematical Society
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51 <082.1> --- Mathematics--Series --- Linear operators. --- Moment problems (Mathematics) --- Opérateurs linéaires --- Problèmes des moments (Mathématiques) --- Opérateurs linéaires --- Théorie des opérateurs --- Problèmes des moments (Mathématiques) --- Operator theory --- Operator theory. --- Linear operators --- Calculus, Operational --- Linear maps --- Maps, Linear --- Operators, Linear --- Functional analysis
Book
ISBN: 1461406188 9786613353245 1461406196 1283353245 Year: 2012 Publisher: New York : Springer,
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The abstract models for many problems in science and engineering take the form of an operator equation; the resolution of these problems often requires determining the existence and uniqueness of solutions to these equations. Generalized Solutions of Operator Equations and Extreme Elements presents a general functional analytic approach to solving operator equations in a general form. This unique and valuable monograph presents recently obtained results in the study of the generalized solutions of operator equations and extreme elements in linear topological spaces. The results are clearly and thoroughly presented and offer new methods of identifying these solutions and studying their properties. These methods are based on a priori estimations and a general topological approach to construct generalized solutions of linear and nonlinear operator equations. This volume is intended for mathematicians, graduate students and researchers studying functional analysis, operator theory, and the theory of optimal control. Prerequisites include knowledge of basic functional analysis.
Operator equations. --- Operator equations --- Functional equations --- Mathematical optimization --- Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Operations Research --- Calculus --- Linear operators. --- Numerical solutions. --- Linear maps --- Maps, Linear --- Operators, Linear --- Mathematics. --- Difference equations. --- Functional equations. --- Operator theory. --- Calculus of variations. --- Topology. --- Calculus of Variations and Optimal Control; Optimization. --- Operator Theory. --- Difference and Functional Equations. --- Operator theory --- Numerical analysis --- Mathematical optimization. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Equations, Functional --- Functional analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Isoperimetrical problems --- Variations, Calculus of
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ISBN: 1447142810 1447142829 144716170X Year: 2012 Publisher: London ; New York : Springer,
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In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T. Schwartz wrote seminal works in analysis, mathematical economics, programming languages, algorithmics, and computational geometry. In this volume of essays, his friends, students, and collaborators at the Courant Institute of Mathematical Sciences present recent results in some of the fields that Schwartz explored: quantum theory, the theory and practice of programming, program correctness and decision procedures, dextrous manipulation in Robotics, motion planning, and genomics. In addition to presenting recent results in these fields, these essays illuminate the astonishingly productive trajectory of a brilliant and original scientist and thinker.
Algorithmics. --- Computational biology. --- Linear operators. --- Logic, Symbolic. --- Computer science --- Linear operators --- Computational biology --- Engineering & Applied Sciences --- Computer Science --- Computer science. --- Linear maps --- Maps, Linear --- Operators, Linear --- Informatics --- Programming languages (Electronic computers). --- Mathematical logic. --- Quantum physics. --- Robotics. --- Automation. --- Computer Science. --- Programming Languages, Compilers, Interpreters. --- Mathematical Logic and Foundations. --- Quantum Physics. --- Robotics and Automation. --- Science --- Operator theory --- Biology --- Bioinformatics --- Logic, Symbolic and mathematical. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic control --- Automatic machinery --- CAD/CAM systems --- Robotics --- Automation --- Machine theory --- Computer languages --- Computer program languages --- Computer programming languages --- Machine language --- Electronic data processing --- Languages, Artificial
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