Riemannian Geometry - Softcover

Riemannian Geometry

Taschenbuch. Zustand: Neu. Neuware - 'Riemannian Geometry' is a seminal treatise on the mathematical foundations of differential geometry and the study of curved spaces. Authored by the distinguished mathematician Luther Pfahler Eisenhart, this work provides a rigorous and systematic exposition of the principles that underlie modern geometric theory. The text explores the intricate relationships between metric properties, coordinate systems, and the curvature of manifolds, offering a comprehensive framework for understanding n-dimensional spaces.Throughout the volume, Eisenhart delves into the fundamental concepts of tensor analysis, geodesics, and the properties of Riemannian metrics. The work serves as an essential bridge between classical differential geometry and the developments in mathematical physics, particularly the general theory of relativity. Readers will find detailed derivations and clear explanations of the Christoffel symbols, the Riemann-Christoffel tensor, and the geometric implications of parallelism and displacement.This volume remains a cornerstone of mathematical literature, valued for its clarity and its role in shaping the study of global and local geometry. It is an indispensable resource for students, researchers, and anyone interested in the mathematical structures that define our understanding of physical space and multidimensional systems.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. 9781025403274

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