libri scuola books Fumetti ebook dvd top ten sconti 0 Carrello


Torna Indietro

fomenko anatolij t.; kunii tosiyasu l. - topological modeling for visualization

Topological Modeling for Visualization

;




Disponibilità: Normalmente disponibile in 15 giorni


PREZZO
54,98 €
NICEPRICE
52,23 €
SCONTO
5%



Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.


Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente


Facebook Twitter Aggiungi commento


Spese Gratis

Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 10/2013
Edizione: Softcover reprint of the original 1st ed. 1997





Trama

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.




Sommario

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.










Altre Informazioni

ISBN:

9784431669586

Condizione: Nuovo
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:X, 395 p. 430 illus., 16 illus. in color.
Pagine Arabe: 395
Pagine Romane: x


Dicono di noi