CBMS-NSF Regional Conference Series in Applied Mathematics – serie
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93 produkter
Numerical Solution of Elliptic Equations
Häftad, 1987
607 kr
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A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing - the art of utilizing physical intuition, mathematical theorems and algorithms, and modern …
Functional Analysis and Appoximation Theory in Numerical Analysis
Av R.S. Varga
Häftad, 1987
579 kr
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Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical …
Some Aspects of the Optimal Control of Distributed Parameter Systems
Av J.L. Lions
Häftad, 1987
620 kr
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The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more …
Techniques of Differential Topology in Relativity
Häftad, 1987
579 kr
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Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Sequential Analysis and Optimal Design
Häftad, 1987
704 kr
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An exploration of the interrelated fields of design of experiments and sequential analysis with emphasis on the nature of theoretical statistics and how this relates to the philosophy and practice of statistics.
Distribution Theory for Tests Based on Sample Distribution Function
Av J. Durbin
Häftad, 1987
579 kr
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Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle …
Mathematical Problems in the Biological Sciences
Häftad, 1987
607 kr
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Represents a small and highly selective sample of the quantitative approach to biology. The author encourages the reader to disseminate further the cause of mathematics applied to the biological sciences.
Theory of Best Approximation and Functional Analysis
Av Ivan Singer
Häftad, 1987
704 kr
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Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.
Variational Methods for Eigenvalue Approximation
Häftad, 1987
844 kr
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Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important …
Conjugate Duality and Optimization
Häftad, 1987
639 kr
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This monograph provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. Emphasizes the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, …
Theory of Indexing
Häftad, 1987
579 kr
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Presents a theory of indexing capable of ranking index terms, or subject identifiers in decreasing order of importance. This leads to the choice of good document representations, and also accounts for the role of phrases and of thesaurus classes in the indexing process.This study is typical of …
Notes on Time Decay and Scattering for Some Hyperbolic Problems
Häftad, 1987
662 kr
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Solutions of the wave equation or Maxwell's equations in boundary value and free space problems are analyzed. Hyperbolic systems in domains going off to infinity are studied. New results on Maxwell's equations and nonstar shaped reflecting bodies are included.
Mathematical Theories of Populations
Demographics, Genetics and Epidemics
Häftad, 1987
620 kr
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Mathematical theories of populations have appeared both implicitly and explicitly in many important studies of populations, human populations as well as populations of animals, cells and viruses. They provide a systematic way for studying a population's underlying structure.In this book, a basic …
Orthogonal Polynomials and Special Functions
Häftad, 1987
788 kr
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Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other …
Improperly Posed Problems in Partial Differential Equations
Av L.E. Payne
Häftad, 1987
620 kr
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Improperly-posed Cauchy problems are the primary topics in this discussion which assumes that the geometry and coefficients of the equations are known precisely. Appropriate references are made to other classes of improperly posed problems. The contents include straight forward examples of methods …
Lectures on the Measurement and Evaluation of the Performance of Computing Systems
Av Saul Rosen
Häftad, 1987
704 kr
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The scope of the discussion is limited to certain types of general purpose computing systems whose characteristics involve multiprogramming, multiprocessors, communication lines serving many users, and on-line terminal systems. The goal is to gain a better understanding of computing systems through …
Numerical Solution of Two Point Boundary Value Problems
Häftad, 1987
607 kr
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Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.
Stability of Dynamical Systems
Häftad, 1987
676 kr
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An introduction to aspects of the theory of dynamical systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential …
Numerical Analysis of Spectral Methods
Theory and Applications
Av David Gottlieb, Steven A. Orszag
Häftad, 1987
844 kr
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A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical …
Geometric Probability
Häftad, 1987
941 kr
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Topics include: ways modern statistical procedures can yield estimates of pi more precisely than the original Buffon procedure traditionally used; the question of density and measure for random geometric elements that leave probability and expectation statements invariant under translation and …
Graph Theory and Its Applications to Problems of Society
Häftad, 1987
830 kr
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Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.
Feasible Computations and Provable Complexity Properties
Häftad, 1987
607 kr
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An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations.The author begins by defining and discussing efficient reductions between problems and considers the families and …
Theory and Applications of Sequential Nonparametrics
Häftad, 1985
760 kr
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A study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of …
Integer Programming
Facets, Subadditivity, and Duality for Group and Semi-Group Problems
Häftad, 1987
607 kr
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This monograph considers pure integer programming problems which concern packing, partitioning or covering. For this class of problems, an algorithmic framework using a duality approach is offered. Furthermore, the author proposes for the first time a general framework for both packing and covering …
Arithmetic Complexity of Computations
Häftad, 1987
725 kr
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Focuses on finding the minimum number of arithmetic operations needed to perform the computation and on finding a better algorithm when improvement is possible. The author concentrates on that class of problems concerned with computing a system of bilinear forms.Results that lead to applications in …
Lectures on the Logic of Computer Programming
Av Zohar Manna
Häftad, 1987
596 kr
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This monograph deals with aspects of the computer programming process that involve techniques derived from mathematical logic. The author focuses on proving that a given program produces the intended result whenever it halts, that a given program will eventually halt, that a given program is …
Mathematics of Genetic Diversity
Häftad, 1987
718 kr
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Draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.
Topics in Finite Elasticity
Häftad, 1987
579 kr
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Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value …
Approximation of Population Processes
Häftad, 1987
676 kr
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Population processes are stochastic models for systems involving a number of similar particles. Examples include models for chemical reactions and for epidemics. The model may involve a finite number of attributes, or even a continuum.This monograph considers approximations that are possible when …
Lectures on Geometric Methods in Mathematical Physics
Häftad, 1987
718 kr
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A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation, and Hamiltonian systems in diverse applications are explored.
