| 期刊全稱 | A Course in Modern Geometries | | 影響因子2023 | Judith N. Cederberg | | 視頻video | http://file.papertrans.cn/141/140491/140491.mp4 | | 發(fā)行地址 | Includes supplementary material: .Request lecturer material: | | 學(xué)科分類(lèi) | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .A Course in Modern Geometries. is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid‘s geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3-4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. The new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Each chapter includes a list of suggested resources for applications or related topics in areas such as art and history. The second edition also | | Pindex | Textbook 2001Latest edition |
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