عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9784431669562
(Number (ISBN
9784431669586
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408156
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Topological Modeling for Visualization
General Material Designation
[Book]
First Statement of Responsibility
by Anatolij T. Fomenko, Tosiyasu L. Kunii.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Tokyo :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1997.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9784431669586
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Cell aggregation-- Mathematics.
Computer graphics.
Mathematics.
Visualization.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Fomenko, Anatolij T.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Kunii, Tosiyasu L.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307162800.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
