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Beschreibung
This fantastic textbook was written by two internationally famous authors, Fomenko and Kunii. Because this book requires only high school mathematics, students of the 1st year of undergraduate course can start reading it smoothly. They can learn all the necessary mathematics for visualization through this book. This book covers not only linear but also non-linear problems with a lot of examples. Even students in cognitive science or financial analysis who should solve non-linear problems will find this book helpful.
This fantastic textbook was written by two internationally famous authors, Fomenko and Kunii. Because this book requires only high school mathematics, students of the 1st year of undergraduate course can start reading it smoothly. They can learn all the necessary mathematics for visualization through this book. This book covers not only linear but also non-linear problems with a lot of examples. Even students in cognitive science or financial analysis who should solve non-linear problems will find this book helpful.
Zusammenfassung
This fantastic textbook was written by two internationally famous authors, Fomenko and Kunii. Because this book requires only high school mathematics, students of the 1st year of undergraduate course can start reading it smoothly. They can learn all the necessary mathematics for visualization through this book. This book covers not only linear but also non-linear problems with a lot of examples. Even students in cognitive science or financial analysis who should solve non-linear problems will find this book helpful.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2013
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: x
395 S.
414 s/w Illustr.
16 farbige Illustr.
395 p. 430 illus.
16 illus. in color.
ISBN-13: 9784431669586
ISBN-10: 4431669582
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Fomenko, Anatolij T.
Kunii, Tosiyasu L.
Hersteller: Springer
Springer Japan KK
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 23 mm
Von/Mit: Anatolij T. Fomenko (u. a.)
Erscheinungsdatum: 03.10.2013
Gewicht: 0,616 kg
Artikel-ID: 105650037