Warenkorb
€ 0,00 0 Buch dabei,
portofrei
Singularities of Caustics and Wave Fronts als Buch
PORTO-
FREI

Singularities of Caustics and Wave Fronts

'Mathematics and Its Applications'. Auflage 1991. Book. Sprache: Englisch.
Buch (gebunden)
Ihr 12%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
12% Rabatt sichern mit Gutscheincode: SONNE12
 
One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'disc … weiterlesen
Dieses Buch ist auch verfügbar als:
Buch

99,99*

inkl. MwSt.
Portofrei
Lieferbar innerhalb von zwei bis drei Werktagen
Singularities of Caustics and Wave Fronts als Buch

Produktdetails

Titel: Singularities of Caustics and Wave Fronts
Autor/en: Vladimir Arnold

ISBN: 0792310381
EAN: 9780792310389
'Mathematics and Its Applications'.
Auflage 1991.
Book.
Sprache: Englisch.
Springer Netherlands

30. November 1990 - gebunden - 278 Seiten

Beschreibung

One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non­ The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Inhaltsverzeichnis

1 Symplectic geometry.
- 1.1 Symplectic manifolds.
- 1.2 Submanifolds of symplectic manifolds.
- 1.3 Lagrangian manifolds, fibrations, mappings, and singularities.- 2 Applications of the theory of Lagrangian singularities.
- 2.1 Oscillatory integrals.
- 2.2 Lattice points.
- 2.3 Perestroikas of caustics.
- 2.4 Perestroikas of optical caustics.
- 2.5 Shock wave singularities and perestroikas of Maxwell sets.- 3 Contact geometry.
- 3.1 Wave fronts.
- 3.2 Singularities of fronts.
- 3.3 Perestroikas of fronts.- 4 Convolution of invariants, and period maps.
- 4.1 Vector fields tangent to fronts.
- 4.2 Linearised convolution of invariants.
- 4.3 Period maps.
- 4.4 Intersection forms of period maps.
- 4.5 Poisson structures.
- 4.6 Principal period maps.- 5 Lagrangian and Legendre topology.
- 5.1 Lagrangian and Legendre cobordism.
- 5.2 Lagrangian and Legendre characteristic classes.
- 5.3 Topology of complex discriminants.
- 5.4 Functions with mild singularities.
- 5.5 Global properties of singularities.
- 5.6 Topology of Lagrangian inclusions.- 6 Projections of surfaces, and singularities of apparent contours.
- 6.1 Singularities of projections from a surface to the plane.
- 6.2 Singularities of projections of complete intersections.
- 6.3 Geometry of bifurcation diagrams.- 7 Obstacle problem.
- 7.1 Asymptotic rays in symplectic geometry.
- 7.2 Contact geometry of pairs of hypersurfaces.
- 7.3 Unfurled swallowtails.
- 7.4 Symplectic triads.
- 7.5 Contact triads.
- 7.6 Hypericosahedral singularity.
- 7.7 Normal forms of singularities in the obstacle problem.- 8 Transformation of waves defined by hyperbolic variational principles.
- 8.1 Hyperbolic systems and their light hypersurfaces.
- 8.2 Singularities of light hypersurfaces of variational systems.
- 8.3 Contact normal forms of singularities of quadratic cones.
- 8.4 Singularities of ray systems and wave fronts at nonstrict hyperbolic points.

Pressestimmen

`Anyone who is interested in the mathematics of geometric optics, singularities bifurcation theory or just in applications of global analysis may find this as one of the few `must have' books.'
Mathematics, 734 (1991)

Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.