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Approximation of Curves and Surfaces by Algebraic Curves and Surfaces
Paperback
ISBN13: 9781025278964
Publisher: Tradd Street Press
Published: Feb 14 2026
Pages: 26
Weight: 0.11
Height: 0.05 Width: 6.14 Depth: 9.21
Language: English
Approximation of Curves and Surfaces by Algebraic Curves and Surfaces is a significant mathematical treatise exploring the intersection of algebraic geometry and functional analysis. Written by Paul A. Smith, this work addresses the rigorous methods required to represent complex geometric forms through the use of algebraic equations. The text provides an in-depth investigation into the theoretical frameworks for approximating arbitrary curves and surfaces, establishing the conditions under which these mathematical models can be accurately applied.
Focused on the structural properties of geometric entities, the study delves into the convergence and limits of approximation techniques. It serves as an essential resource for understanding the evolution of geometric modeling and numerical analysis in the early twentieth century. By bridging the gap between abstract algebraic principles and practical geometric representation, Smith offers a detailed perspective on how mathematical precision can be applied to describe physical and theoretical shapes. This work remains a valuable reference for scholars of historical mathematics and those interested in the foundational developments of algebraic geometry and its applications in describing the physical world.
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.
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