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A Matrix Handbook for Statisticians (Wiley Series in Probability and Statistics)
A Matrix Handbook for Statisticians (Wiley Series in Probability and Statistics)
A comprehensive, must-have handbook of matrix methods with a unique emphasis on statistical applications

This timely book, A Matrix Handbook for Statisticians, provides a comprehensive, encyclopedic treatment of matrices as they relate to both statistical concepts and methodologies. Written by an experienced authority on matrices and...

The Theory of Differential Equations: Classical & Qualitative
The Theory of Differential Equations: Classical & Qualitative

Differential equations first appeared in the late seventeenth century in the work of Isaac Newton, Gottfried Wilhelm Leibniz, and the Bernoulli brothers, Jakob and Johann. They occurred as a natural consequence of the efforts of these great scientists to apply the new ideas of the calculus to certain problems in mechanics, such as the paths of...

Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Approximation Methods for Polynomial Optimization: Models, Algorithms, and Applications (SpringerBriefs in Optimization)
Polynomial optimization, as its name suggests, is used to optimize a generic multivariate polynomial function, subject to some suitable polynomial equality and/or inequality constraints. Such problem formulation dates back to the nineteenth century when the relationship between nonnegative polynomials and sum of squares (SOS) was...
Mathematics and Computation in Imaging Science and Information Processing
Mathematics and Computation in Imaging Science and Information Processing

Rapid advances in communication, sensing and computational power have led to an explosion of data. The usefulness of this resource for human knowledge is determined by its accessibility and portability, which present fresh challenges to existing techniques in terms of transmission, storage, querying, display and numerical manipulation. As a...

Robust Systems Theory and Applications (Adaptive and Learning Systems for Signal Processing, Communications and Control Series)
Robust Systems Theory and Applications (Adaptive and Learning Systems for Signal Processing, Communications and Control Series)
A complete, up-to-date textbook on an increasingly important subject

Robust Systems Theory and Applications covers both the techniques used in linear robust control analysis/synthesis and in robust (control-oriented) identification. The main analysis and design methods are complemented by elaborated examples and a group of worked-out...

The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)
The Finite Element Method: Theory, Implementation, and Applications (Texts in Computational Science and Engineering)

This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational...

Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)
Algebraic Approximation: A Guide to Past and Current Solutions (Frontiers in Mathematics)

This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced...

Partial Differential Equations and the Finite Element Method
Partial Differential Equations and the Finite Element Method
A systematic introduction to partial differential equations and modern finite element methods for their efficient numerical solution

Partial Differential Equations and the Finite Element Method provides a much-needed, clear, and systematic introduction to modern theory of partial differential equations (PDEs) and...

Mixed Finite Element Methods and Applications (Springer Series in Computational Mathematics)
Mixed Finite Element Methods and Applications (Springer Series in Computational Mathematics)

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized...

Analysis of Numerical Methods
Analysis of Numerical Methods
Excellent advanced-undergraduate and graduate text covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation and more. Careful analysis and stress on techniques for developing new methods. Features examples and problems. 1966 edition....
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all...

Similarity Search: The Metric Space Approach (Advances in Database Systems)
Similarity Search: The Metric Space Approach (Advances in Database Systems)
The area of similarity searching is a very hot topic for both research and commercial applications. Current data processing applications use data with considerably less structure and much less precise queries than traditional database systems. Examples are multimedia data like images or videos that offer queryby-example search, product catalogs...
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