Category: Geometry And Topology

By C. Godbillon

By Jeffrey M. Lemm

Hardbound.

By Lie Sophus, Scheffers G.

By Ballico E.

This distinctive reference provides unique, refereed papers that discover present themes in projective geometry - revealing a locus of mathematical innovations and ways acceptable to and trained by means of algebraic geometry, complicated research, commutative algebra, and quantity thought. Containing contributions from greater than 20 the world over acclaimed mathematicians, Projective Geometry with functions covers different topics resembling adjunction thought ... Fano manifolds ... functions of the Mori idea ... subvarieties of Grassmannians ... the enumerative geometry of finite subsets of projective types ... Calabi-Yau manifolds ... Weierstrass issues on Gorenstein curves and comparable ramification loci ... and extra. Furnishing over three hundred up to date literature citations, bearing in mind in-depth research of specific issues, Projective Geometry with purposes is a extraordinary source for algebraists, quantity and computing device theorists, geometers, topologists, and upper-level undergraduate and graduate scholars in those disciplines.

By Jean-Pierre Petit

By Lebossé C., Hémery C.

Réimpression par les éditions Jacques Gabay d’un livre initialement publié par Fernand Nathan en 1961. Conforme au programme du 27 juin 1945.

Table des matières :

Première partie. — Éléments orientés

Leçon 1. — Vecteurs et coordonnées
    Vecteurs
    Sommes vectorielles
    Projections d’un vecteur
    Coordonnées

Leçon 2. — Angles orientés dans le plan
    Angles orientés dans le plan
    Angle de deux droites dans le plan
    Angles inscrits

Leçon three. — Éléments orientés dans l’espace. — Produit scalaire. — family métriques dans le triangle

Leçon four. — Trièdres
    Trièdres
    Relations entre les faces d’un trièdre
    Trièdres supplémentaires
    Cas d’égalité des trièdres

Deuxième partie. — Transformations

Leçon five. — modifications. — Déplacements plans
    Transformations ponctuelles
    Déplacements plans
    Translation plane
    Rotation plane

Leçon 6. — Symétrie-droite dans le plan. — purposes des déplacements et symétries

Leçon 7. — Déplacements dans l’espace
    Déplacements dans l’espace
    Translation dans l’espace
    Rotation dans l’espace

Leçon eight. — Symétries dans l’espace. — Comparaison. — Éléments de symétrie d’une figure

Leçon nine. — Homothétie
    Homothétie
    Applications de l’homothétie

Leçon 10. — Similitude dans le plan et dans l’espace

Leçon eleven. — department et faisceau harmoniques
    Division harmonique
    Faisceau harmonique
    Polaire d’un element par rapport à deux droites

Leçon 12. — Puissance par rapport à un cercle et à une sphère

Leçon thirteen. — Cercles orthogonaux. — Faisceaux de cercles. — Sphères orthogonales

Leçon 14. — Polarité par rapport à un cercle et à une sphère

Leçon 15. — Inversion dans le plan et dans l’espace

Leçon sixteen. — functions. — Projection stéréographique

Troisième partie. — Coniques

Introduction

Leçon 17. — Ellipse. — Tangentes à l’ellipse

Leçon 18. — Équation de l’ellipse. — Ellipse projection d’un cercle

Leçon 19. — Hyperbole. — Tangentes à l’hyperbole

Leçon 20. — Équation de l’hyperbole. — Propriétés kinfolk aux asymptotes
    Équation de l’hyperbole
    Propriétés family members aux asymptotes
    Hyperbole équilatère

Leçon 21. — Parabole. — Tangentes à los angeles parabole. — Équation de l. a. parabole

Leçon 22. — Foyers et directrices

Leçon 23. — Propriétés communes
    Lieux géométriques
    Propriétés des tangentes
    Propriétés des normales

Leçon 24. — Sections planes d’un cône ou cylindre de révolution

By Jamal T. Manassah

This is an advent to airplane algebraic curves from a geometrical perspective, designed as a primary textual content for undergraduates in arithmetic, or for postgraduate and study staff within the engineering and actual sciences. The publication is definitely illustrated and comprises a number of hundred labored examples and workouts. From the wide-spread traces and conics of simple geometry the reader proceeds to common curves within the actual affine aircraft, with tours to extra common fields to demonstrate functions, reminiscent of quantity conception. by way of including issues at infinity the affine aircraft is prolonged to the projective airplane, yielding a normal environment for curves and supplying a flood of illumination into the underlying geometry. A minimum quantity of algebra ends up in the recognized theorem of Bezout, whereas the tips of linear structures are used to debate the classical team constitution at the cubic.

By Belyaev O.

By Robert Hermann

Hermann R. Geometric computing technology (Math Sci Press, 1991)(ISBN 0915692414)

By Yihong Du

The utmost precept induces an order constitution for partial differential equations, and has turn into a huge software in nonlinear research. This publication is the 1st of 2 volumes to systematically introduce the functions of order constitution in definite nonlinear partial differential equation difficulties. the utmost precept is revisited by using the Krein-Rutman theorem and the vital eigenvalues. Its numerous types, similar to the relocating airplane and sliding aircraft equipment, are utilized to numerous vital difficulties of present curiosity. the higher and decrease resolution procedure, specially its susceptible model, is gifted in its newest shape with sufficient generality to cater for extensive purposes. contemporary growth at the boundary blow-up difficulties and their purposes are mentioned, in addition to a few new symmetry and Liouville variety effects over part and whole areas. a number of the effects integrated listed below are released for the 1st time.