The Theory of Approximation - Softcover

The Theory of Approximation

Taschenbuch. Zustand: Neu. Neuware - 'The Theory of Approximation' by Dunham Jackson is a foundational mathematical treatise that explores the fundamental principles behind approximating continuous functions with simpler structures, such as polynomials and trigonometric series. As an essential contribution to mathematical literature, this work provides a rigorous framework for understanding one of the most practical branches of mathematical analysis.Jackson examines the degree of approximation attainable for various classes of functions, laying the groundwork for what are now known as Jackson-type theorems. The book covers essential topics including the theory of orthogonal polynomials, the convergence of Fourier series, and the properties of best approximations under different norms. His clear exposition and logical structure helped standardize the field during a period of significant development in the early 20th century.This volume remains a significant resource for mathematicians and scholars interested in the history of numerical and functional analysis. Its focus on the structural properties of functions and the efficiency of mathematical representation makes it a cornerstone text for understanding how complex mathematical concepts are simplified for both theoretical study and practical computation.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. Artikel-Nr. 9781026033968

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