Scientific Data Mining: A Practical Perspective

Science & Math

Kamath, Chandrika

Mathematics

Society for Industrial and Applied Mathematics

This book was the first and remains the only book to give a comprehensive treatment of the behavior of linear or nonlinear systems when they are connected in a closed-loop fashion, with the output of one system forming the input of the other. The study of the stability of such systems requires one to draw upon several branches of mathematics but most notably functional analysis. Feedback Systems: Input-Output Properties includes the most basic concepts of matrices and norms, the important fundamental theorems in input-output stability, and the requisite background material in advanced topics such as the small gain theorem and the passivity theorem.

Feedback Systems: Input-Output Properties (Classics in Applied Mathematics)

Vidyasagar, M.

Desoer, Charles A.

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.

Bayesian Statistics, A Review (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 2)

Lindley, D. V.

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.

Some Aspects of the Optimal Control of Distributed Parameter Systems (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 6)

Lions†, J.-L.

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.

Techniques of Differential Topology in Relativity (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 7)

PENROSE, ROGER

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.

Sequential Analysis and Optimal Design (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 8)

Chernoff, Herman

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.

Distribution Theory for Tests Based on Sample Distribution Function (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 9)

Durbin, J.

This book 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.

Mathematical Problems in the Biological Sciences (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 10)

Rubinow, Sol I.

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.

The Theory of Best Approximation and Functional Analysis (Regional Conference Series in Applied Mathematics - Vol 13)

Computers & Technology

Singer, Ivan

Programming

Provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on 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.

Conjugate Duality and Optimization (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 16)

Business & Money

Rockafellar, R. Tyrrell

Economics

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Books by Society for Industrial and Applied Mathematics