CBMS-NSF Regional Conference Series in Applied Mathematics – serie

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87 produkter

Numerical Solution of Elliptic Equations
AvGarrett Birkhoff
Häftad, Engelska, 1987
598 kr
Skickas inom 5-8 vardagar
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 computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.
Bayesian Statistics
A Review
AvD.V. Lindley
Häftad, Engelska, 1987
598 kr
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A study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics.
Functional Analysis and Appoximation Theory in Numerical Analysis
AvR.S. Varga
Häftad, Engelska, 1987
570 kr
Skickas inom 5-8 vardagar
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 analysis.
Some Aspects of the Optimal Control of Distributed Parameter Systems
AvJ.L. Lions
Häftad, Engelska, 1987
611 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 interesting areas of application.
Techniques of Differential Topology in Relativity
AvRoger Penrose
Häftad, Engelska, 1987
570 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
AvHerman Chernoff
Häftad, Engelska, 1987
694 kr
Skickas inom 5-8 vardagar
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
AvJ. Durbin
Häftad, Engelska, 1987
570 kr
Skickas inom 5-8 vardagar
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 and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.
Theory of Best Approximation and Functional Analysis
AvIvan Singer
Häftad, Engelska, 1987
694 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
AvHans F. Weinberger
Häftad, Engelska, 1987
831 kr
Skickas inom 5-8 vardagar
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 information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators.
Conjugate Duality and Optimization
AvR. Tyrrell Rockafellar
Häftad, Engelska, 1987
629 kr
Skickas inom 5-8 vardagar
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, approximation, stochastic programming, the calculus of variations, and optimal control.
Notes on Time Decay and Scattering for Some Hyperbolic Problems
AvCathleen S. Morawetz
Häftad, Engelska, 1987
652 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
AvFrank Hoppensteadt
Häftad, Engelska, 1987
611 kr
Skickas inom 5-8 vardagar
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 model in population age structure is studied and then applied, extended and modified, to several population phenomena such as stable age distributions, self-limiting effects, and two-sex populations. Population genetics are studied with special attention to derivation and analysis of a model for a one-locus, two-allele trait in a large randomly mating population. The dynamics of contagious phenomena in a population are studied in the context of epidemic diseases.
Improperly Posed Problems in Partial Differential Equations
AvL.E. Payne
Häftad, Engelska, 1987
611 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 eigenfunction, quasireversibility, logarithmic convexity, Lagrange identity, and weighted energy used in treating improperly posed Cauchy problems. The Cauchy problem for a class of second order operator equations is examined as is the question of determining explicit stability inequalities for solving the Cauchy problem for elliptic equations. Among other things, an example with improperly posed perturbed and unperturbed problems is discussed and concavity methods are used to investigate finite escape time for classes of operator equations.
Lectures on the Measurement and Evaluation of the Performance of Computing Systems
AvSaul Rosen
Häftad, Engelska, 1987
694 kr
Skickas inom 5-8 vardagar
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 the techniques of measurement and performance evaluation.
Numerical Solution of Two Point Boundary Value Problems
AvHerbert B. Keller
Häftad, Engelska, 1987
598 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
AvJ. P. La Salle
Häftad, Engelska, 1987
666 kr
Skickas inom 5-8 vardagar
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 equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.
Numerical Analysis of Spectral Methods
Theory and Applications
AvDavid Gottlieb,Steven A. Orszag
Häftad, Engelska, 1987
831 kr
Skickas inom 5-8 vardagar
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 analysis.
Geometric Probability
AvHerbert Solomon
Häftad, Engelska, 1987
927 kr
Skickas inom 5-8 vardagar
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 rotation; the number of random line intersections in a plane and their angles of intersection; developments due to W. L. Stevens's ingenious solution for evaluating the probability that n random arcs of size a cover a unit circumference completely; the development of M. W. Crofton's mean value theorem and its applications in classical problems; and an interesting problem in geometrical probability presented by a karyograph.
Graph Theory and Its Applications to Problems of Society
AvFred S. Roberts
Häftad, Engelska, 1987
817 kr
Skickas inom 5-8 vardagar
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.
Theory and Applications of Sequential Nonparametrics
AvPranab Kumar Sen
Häftad, Engelska, 1985
749 kr
Skickas inom 5-8 vardagar
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 applied statistics and biostatistics.
Integer Programming
Facets, Subadditivity, and Duality for Group and Semi-Group Problems
AvEllis S. Johnson
Häftad, Engelska, 1987
598 kr
Skickas inom 5-8 vardagar
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 problems characterizing the convex whole of integer solutions.
Arithmetic Complexity of Computations
AvShmuel Winograd
Häftad, Engelska, 1987
714 kr
Skickas inom 5-8 vardagar
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 the area of signal processing are emphasized, since (1) even a modest reduction in the execution time of signal processing problems could have practical significance; (2) results in this area are relatively new and are scattered in journal articles; and (3) this emphasis indicates the flavor of complexity of computation.
Lectures on the Logic of Computer Programming
AvZohar Manna
Häftad, Engelska, 1987
587 kr
Skickas inom 5-8 vardagar
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 partially correct and terminates, and that a system of rewriting rules always halts. Also, the author describes the intermediate behavior of a given program, and discusses constructing a program to meet a given specification.
Mathematics of Genetic Diversity
AvJ.F.C. Kingman
Häftad, Engelska, 1987
707 kr
Skickas inom 5-8 vardagar
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
AvMorton E. Gurtin
Häftad, Engelska, 1987
570 kr
Skickas inom 5-8 vardagar
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 problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.
Approximation of Population Processes
AvThomas G. Kurtz
Häftad, Engelska, 1987
666 kr
Skickas inom 5-8 vardagar
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 the number of particles is large. The models considered will involve a finite number of different types of particles.
Lectures on Geometric Methods in Mathematical Physics
AvJerrold E. Marsden
Häftad, Engelska, 1987
707 kr
Skickas inom 5-8 vardagar
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.
Weak Convergence of Measures
Applications in Probability
AvPatrick Billingsley
Häftad, Engelska, 1987
543 kr
Skickas inom 5-8 vardagar
A treatment of the convergence of probability measures from the foundations to applications in limit theory for dependent random variables. Mapping theorems are proved via Skorokhod's representation theorem; Prokhorov's theorem is proved by construction of a content. The limit theorems at the conclusion are proved under a new set of conditions that apply fairly broadly, but at the same time make possible relatively simple proofs.
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
AvPeter D. Lax
Häftad, Engelska, 1987
570 kr
Skickas inom 5-8 vardagar
This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.
Nonlinear Renewal Theory in Sequential Analysis
AvMichael Woodroffe
Häftad, Engelska, 1982
776 kr
Skickas inom 5-8 vardagar
The global approach to nonlinear renewal theory is integrated with the author's own local approach. Both the theory and its applications are placed in perspective by including a discussion of the linear renewal theorem and its applications to the sequential probability ratio test. Applications to repeated significance tests, to tests with power one, and to sequential estimation are also included. The monograph is self-contained for readers with a working knowledge of measure-theoretic probability and intermediate statistical theory.

CBMS-NSF Regional Conference Series in Applied Mathematics – serie

Numerical Solution of Elliptic Equations

Bayesian Statistics

Functional Analysis and Appoximation Theory in Numerical Analysis

Some Aspects of the Optimal Control of Distributed Parameter Systems

Techniques of Differential Topology in Relativity

Sequential Analysis and Optimal Design

Distribution Theory for Tests Based on Sample Distribution Function

Theory of Best Approximation and Functional Analysis

Variational Methods for Eigenvalue Approximation

Conjugate Duality and Optimization

Notes on Time Decay and Scattering for Some Hyperbolic Problems

Mathematical Theories of Populations

Improperly Posed Problems in Partial Differential Equations

Lectures on the Measurement and Evaluation of the Performance of Computing Systems

Numerical Solution of Two Point Boundary Value Problems

Stability of Dynamical Systems

Numerical Analysis of Spectral Methods

Geometric Probability

Graph Theory and Its Applications to Problems of Society

Theory and Applications of Sequential Nonparametrics

Integer Programming

Arithmetic Complexity of Computations

Lectures on the Logic of Computer Programming

Mathematics of Genetic Diversity

Topics in Finite Elasticity

Approximation of Population Processes

Lectures on Geometric Methods in Mathematical Physics

Weak Convergence of Measures

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

Nonlinear Renewal Theory in Sequential Analysis