<電子ブック>
Topological Modeling for Visualization / by Anatolij T. Fomenko, Tosiyasu L. Kunii
版 | 1st ed. 1997. |
---|---|
出版者 | (Tokyo : Springer Japan : Imprint: Springer) |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | X, 395 p. 430 illus., 16 illus. in color : online resource |
著者標目 | *Fomenko, Anatolij T author Kunii, Tosiyasu L author SpringerLink (Online service) |
件 名 | LCSH:Manifolds (Mathematics) LCSH:Information visualization LCSH:Computer graphics FREE:Manifolds and Cell Complexes FREE:Data and Information Visualization FREE:Computer Graphics |
一般注記 | I. Foundation -- 1. Curves -- 2. The Notion of a Riemannian Metric -- 3. Local Theory of Surfaces -- 4. The Classification of Surfaces -- 5. Abstract Manifolds -- 6. Critical Points and Morse Theory -- 7. Analyzing Human Body Motions Using Manifolds and Critical Points -- 8. Computer Examination of Surfaces and Morse Functions -- 9. Height Functions and Distance Functions -- 10. Homotopies and Surface Generation -- 11. Homology -- 12. Geodesics -- 13. Transformation Groups -- II. Advanced Subjects -- 14. Hyperbolic Geometry and Topology -- 15. Hamiltonian Systems with Two Degrees of Freedom -- 16. Topological and Orbital Analysis of Integrable Problems -- 17. Orbital Invariant of Integrable Hamiltonian Systems -- 18. Ridges, Ravines and Singularities The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other HTTP:URL=https://doi.org/10.1007/978-4-431-66956-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9784431669562 |
|
電子リソース |
|
EB00231548 |
書誌詳細を非表示
データ種別 | 電子ブック |
---|---|
分 類 | LCC:QA613-613.8 DC23:514.34 |
書誌ID | 4000110929 |
ISBN | 9784431669562 |
類似資料
この資料の利用統計
このページへのアクセス回数:3回
※2017年9月4日以降