Differential Geometry and Its Visualization
商品資訊
ISBN13：9781032436661
出版社：PBKTYFRL
作者：Eberhard (University of Nis Malkowsky Serbia); Cemal Dolicanin; Vesna Velickovic
出版日：2023/08/04
裝訂／頁數：精裝／488頁
規格：17.8cm*25.4cm (高/寬)
商品簡介
Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers. It can also be used as a supplementary reference for research in mathematics and the natural and engineering sciences.
Differential geometry is the study of geometric objects and their properties using the methods of mathematical analysis. The classical theory of curves and surfaces in three-dimensional Euclidean space is presented in the first three chapters. The abstract and modern topics of tensor algebra, Riemannian spaces and tensor analysis are studied in the last two chapters. A great number of illustrating examples, visualizations and genuine figures created by the authors own software are included to support the understanding of the presented concepts and results, and to develop an adequate perception of the shapes of geometric objects, their properties and the relations between them.
Features
- Extensive, full colour visualisations
- Numerous exercises
- Self-contained and comprehensive treatment of the topic
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