Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical… Mehr zeigen understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from classical notions of topology and ends with remarkable new results in Hamiltonian geometry. Fomenko lays special emphasis upon visual explanations of the problems and results and downplays the abstract logical aspects of calculations. As an example, readers can very quickly penetrate into the new theory of topological descriptions of integrable Hamiltonian differential equations. The book includes numerous graphical sheets drawn by the author, which are presented in special sections of "Visual material". These pictures illustrate the mathematical ideas and results contained in the book. Using these pictures, the reader can understand many modern mathematical ideas and methods. Although "Visual Geometry and Topology" is about mathematics, Fomenko has written and illustrated this book so that students and researchers from all the natural sciences and also artists and art students will find something of interest within its pages. Weniger zeigen

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Produktinformationen

Technische Daten

Erscheinungsdatum

27.12.1993

Sprache

Englisch

EAN

9783540533610

Herausgeber

Springer Berlin

Sonderedition

Nein

Autor

Anatolij T. Fomenko

Seitenanzahl

324

Einbandart

Gebundene Ausgabe

Übersetzt von

M.V. Tsaplina

Schlagwörter

mathematical physics, Visual Geometry, Visual Topology, Visuelle Geometrie, Hamiltonsche Systeme, topology, Visuelle Topologie, Hamiltonian Systems, Integrable Systems, Integrierbare Systeme

Thema-Inhalt

PBM - Geometrie PBP - Topologie PHU - Mathematische Physik

Höhe

235 mm

Breite

15.5 cm

Warnhinweise und Sicherheitsinformationen

Informationen nach EU Data Act

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