Author: Martina Lanini
Publisher: Springer Nature
ISBN: 9819765080
Category :
Languages : en
Pages : 333

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Author: Martina Lanini
Publisher: Springer
ISBN: 9789819765072
Category : Mathematics
Languages : en
Pages : 0

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The book, based on the INdAM Workshop "Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology" provides a bridge between different communities of mathematicians who utilize splines in their work. Splines are mathematical objects which allow researchers in geometric modeling and approximation theory to tackle a wide variety of questions. Splines are interesting for both applied mathematicians, and also for those working in purely theoretical mathematical settings. This book contains contributions by researchers from different mathematical communities: on the applied side, those working in numerical analysis and approximation theory, and on the theoretical side, those working in GKM theory, equivariant cohomology and homological algebra.

Author: University of Michigan
Publisher: UM Libraries
ISBN:
Category : Education, Higher
Languages : en
Pages : 316

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Each number is the catalogue of a specific school or college of the University.

Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1164

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Author: Hrushikesh Narhar Mhaskar
Publisher: CRC Press
ISBN: 9780849309397
Category : Mathematics
Languages : en
Pages : 580

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The field of approximation theory has become so vast that it intersects with every other branch of analysis and plays an increasingly important role in applications in the applied sciences and engineering. Fundamentals of Approximation Theory presents a systematic, in-depth treatment of some basic topics in approximation theory designed to emphasize the rich connections of the subject with other areas of study. With an approach that moves smoothly from the very concrete to more and more abstract levels, this text provides an outstanding blend of classical and abstract topics. The first five chapters present the core of information that readers need to begin research in this domain. The final three chapters the authors devote to special topics-splined functions, orthogonal polynomials, and best approximation in normed linear spaces- that illustrate how the core material applies in other contexts and expose readers to the use of complex analytic methods in approximation theory. Each chapter contains problems of varying difficulty, including some drawn from contemporary research. Perfect for an introductory graduate-level class, Fundamentals of Approximation Theory also contains enough advanced material to serve more specialized courses at the doctoral level and to interest scientists and engineers.

Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 728

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Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 970

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Author: Harry Dym
Publisher: American Mathematical Society
ISBN: 1470472066
Category : Mathematics
Languages : en
Pages : 512

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This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.

Author: University of Colorado Boulder
Publisher:
ISBN:
Category :
Languages : en
Pages : 540

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Author: Iowa. State Board of Public Instruction
Publisher:
ISBN:
Category :
Languages : en
Pages : 90

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