{"id":92326,"date":"2023-11-05T15:07:17","date_gmt":"2023-11-05T13:07:17","guid":{"rendered":"https:\/\/www.antikvarius.ro\/?post_type=product&p=92326"},"modified":"2025-07-29T20:26:06","modified_gmt":"2025-07-29T17:26:06","slug":"d-hilbert-s-cohn-vossen-szemleletes-geometria","status":"publish","type":"product","link":"https:\/\/www.antikvarius.ro\/hu\/magyar-nyelvu-konyvek\/d-hilbert-s-cohn-vossen-szemleletes-geometria\/","title":{"rendered":"D. Hilbert – S. Cohn – Vossen – Szeml\u00e9letes geometria"},"content":{"rendered":"

D. Hilbert – S. Cohn – Vossen – Szeml\u00e9letes geometria<\/strong><\/p>\n

\n

TARTALOM<\/h4>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Szeml\u00e9letes geometria<\/td>\n<\/td>\n<\/tr>\n
El\u0151sz\u00f3<\/td>\n11<\/td>\n<\/tr>\n
A legegyszer\u0171bb g\u00f6rb\u00e9k \u00e9s fel\u00fcletek<\/td>\n<\/td>\n<\/tr>\n
S\u00edkg\u00f6rb\u00e9k<\/td>\n15<\/td>\n<\/tr>\n
Henger, k\u00fap, k\u00fapszeletek \u00e9s ezek forg\u00e1s\u00e1b\u00f3l sz\u00e1rmaz\u00f3 fel\u00fcletek<\/td>\n21<\/td>\n<\/tr>\n
M\u00e1sodrend\u0171 fel\u00fcletek<\/td>\n26<\/td>\n<\/tr>\n
Az ellipszoid \u00e9s a konfok\u00e1lis m\u00e1sodrend\u0171 fel\u00fcletek fon\u00e1lszerkeszt\u00e9se<\/td>\n35<\/td>\n<\/tr>\n
F\u00fcggel\u00e9kek az els\u0151 fejezethez<\/td>\n<\/td>\n<\/tr>\n
A k\u00fapszeletek el\u0151\u00e1ll\u00edt\u00e1sa talpponti szerkeszt\u00e9ssel<\/td>\n41<\/td>\n<\/tr>\n
A k\u00fapszeletek vez\u00e9rvonala<\/td>\n44<\/td>\n<\/tr>\n
A hiperboloid mozgathat\u00f3 p\u00e1lcamodellje<\/td>\n46<\/td>\n<\/tr>\n
Szab\u00e1lyos pontrendszerek<\/td>\n<\/td>\n<\/tr>\n
S\u00edkbeli pontr\u00e1csok<\/td>\n49<\/td>\n<\/tr>\n
S\u00edkbeli pontr\u00e1csok a sz\u00e1melm\u00e9letben<\/td>\n56<\/td>\n<\/tr>\n
Pontr\u00e1csok h\u00e1rom- \u00e9s t\u00f6bb dimenzi\u00f3s terekben<\/td>\n65<\/td>\n<\/tr>\n
A krist\u00e1lyok mint szab\u00e1lyos pontrendszerek<\/td>\n74<\/td>\n<\/tr>\n
Szab\u00e1lyos pontrendszerek \u00e9s diszkr\u00e9t mozg\u00e1scsoportok<\/td>\n78<\/td>\n<\/tr>\n
S\u00edkbeli mozg\u00e1sok \u00e9s azok \u00f6sszet\u00e9tele, a s\u00edkbeli diszkr\u00e9t mozg\u00e1scsoportok feloszt\u00e1sa<\/td>\n82<\/td>\n<\/tr>\n
V\u00e9gtelen alaptartom\u00e1ny\u00fa s\u00edkbeli diszkr\u00e9t mozg\u00e1scsoportok<\/td>\n86<\/td>\n<\/tr>\n
A s\u00edk krist\u00e1lytani mozg\u00e1scsoportjai. Szab\u00e1lyos pont- \u00e9s mutat\u00f3rendszerek. A s\u00edk fel\u00e9p\u00edt\u00e9se egybev\u00e1g\u00f3 tartom\u00e1nyokb\u00f3l<\/td>\n93<\/td>\n<\/tr>\n
T\u00e9rbeli mozg\u00e1sok krist\u00e1lytani oszt\u00e1lyai \u00e9s csoportjai. T\u00fckr\u00f6s szimmetri\u00e1val rendelkez\u0151 csoportok \u00e9s pontrendszerek<\/td>\n106<\/td>\n<\/tr>\n
Szab\u00e1lyos poli\u00e9derek<\/td>\n114<\/td>\n<\/tr>\n
Konfigur\u00e1ci\u00f3k<\/td>\n<\/td>\n<\/tr>\n
A s\u00edkbeli konfigur\u00e1ci\u00f3kra vonatkoz\u00f3 el\u0151zetes megjegyz\u00e9sek<\/td>\n120<\/td>\n<\/tr>\n
Perspekt\u00edva, v\u00e9gtelen t\u00e1voli elemek \u00e9s a s\u00edkbeli dualit\u00e1s elve<\/td>\n138<\/td>\n<\/tr>\n
A t\u00e9r v\u00e9gtelen t\u00e1voli elemei \u00e9s a t\u00e9rbeli dualit\u00e1s elve. A Desargues-f\u00e9le t\u00e9tel \u00e9s a Desargues-f\u00e9le konfigur\u00e1ci\u00f3<\/td>\n146<\/td>\n<\/tr>\n
A Pascal-f\u00e9le \u00e9s a Desargues-f\u00e9le t\u00e9tel szembe\u00e1ll\u00edt\u00e1sa<\/td>\n156<\/td>\n<\/tr>\n
T\u00e9rbeli konfigur\u00e1ci\u00f3kra vonatkoz\u00f3 el\u0151zetes megjegyz\u00e9sek<\/td>\n160<\/td>\n<\/tr>\n
A Reye-f\u00e9le konfigur\u00e1ci\u00f3<\/td>\n162<\/td>\n<\/tr>\n
Szab\u00e1lyos testek \u00e9s cell\u00e1k \u00e9s ezek vet\u00fcletei<\/td>\n171<\/td>\n<\/tr>\n
A geometria megsz\u00e1ml\u00e1lhat\u00f3 m\u00f3dszerei<\/td>\n188<\/td>\n<\/tr>\n
A Shl\u00e4fli-f\u00e9le hatos p\u00e1r<\/td>\n194<\/td>\n<\/tr>\n
Differenci\u00e1lgeometria<\/td>\n<\/td>\n<\/tr>\n
S\u00edkg\u00f6rb\u00e9k<\/td>\n203<\/td>\n<\/tr>\n
T\u00e9rg\u00f6rb\u00e9k<\/td>\n210<\/td>\n<\/tr>\n
Fel\u00fcletek g\u00f6rb\u00fclete. Elliptikus, hiperbolikus \u00e9s parabolikus eset. G\u00f6rb\u00fcleti vonalak \u00e9s aszimptotikus vonalak, g\u00f6mbi pontok, minim\u00e1lfel\u00fcletek, majomnyereg<\/td>\n214<\/td>\n<\/tr>\n
G\u00f6mbi lek\u00e9pez\u00e9s \u00e9s Gauss-f\u00e9le g\u00f6rb\u00fclet<\/td>\n224<\/td>\n<\/tr>\n
Kifejthet\u0151 fel\u00fcletek, vonalfel\u00fcletek<\/td>\n236<\/td>\n<\/tr>\n
T\u00e9rg\u00f6rb\u00e9k csavar\u00e1sa<\/td>\n242<\/td>\n<\/tr>\n
A g\u00f6mb tizenegy tulajdons\u00e1ga<\/td>\n246<\/td>\n<\/tr>\n
Fel\u00fcletek hajl\u00edt\u00e1sa \u00f6nmagukban<\/td>\n263<\/td>\n<\/tr>\n
Elliptikus geometria<\/td>\n266<\/td>\n<\/tr>\n
Hiperbolikus geometria, valamint ennek az euklideszi \u00e9s az elliptikus geometri\u00e1hoz val\u00f3 viszonya<\/td>\n273<\/td>\n<\/tr>\n
Sztereografikus vet\u00fclet \u00e9s a k\u00f6rrokons\u00e1g. A hiperbolikus s\u00edk Poincar\u00e9-f\u00e9le modellje<\/td>\n279<\/td>\n<\/tr>\n
Lek\u00e9pez\u00e9si m\u00f3dszerek. Hossztart\u00f3, ter\u00fcletttart\u00f3, geodetikus, folytonos \u00e9s konform lek\u00e9pez\u00e9s<\/td>\n292<\/td>\n<\/tr>\n
Geometriai f\u00fcggv\u00e9nytan. Riemann lek\u00e9pez\u00e9si t\u00e9tele. Konform lek\u00e9pez\u00e9s a t\u00e9rben<\/td>\n295<\/td>\n<\/tr>\n
G\u00f6rbe fel\u00fcletek konform lek\u00e9pez\u00e9se. Minim\u00e1lfel\u00fcletek. Plateau probl\u00e9m\u00e1ja<\/td>\n300<\/td>\n<\/tr>\n
Kinematika<\/td>\n<\/td>\n<\/tr>\n
Csukl\u00f3s mechanizmusok<\/td>\n304<\/td>\n<\/tr>\n
S\u00edkidomok mozg\u00e1sa<\/td>\n308<\/td>\n<\/tr>\n
Az ellipszisek \u00e9s g\u00f6rd\u00fcl\u00e9si g\u00f6rb\u00e9j\u00e9nek megszerkeszt\u00e9s\u00e9re szolg\u00e1l\u00f3 eszk\u00f6z<\/td>\n316<\/td>\n<\/tr>\n
T\u00e9rbeli mozg\u00e1sok<\/td>\n318<\/td>\n<\/tr>\n
Topol\u00f3gia<\/td>\n<\/td>\n<\/tr>\n
Poli\u00e9derek<\/td>\n323<\/td>\n<\/tr>\n
Fel\u00fcletek<\/td>\n329<\/td>\n<\/tr>\n
Egyoldal\u00fa fel\u00fcletek<\/td>\n337<\/td>\n<\/tr>\n
A projekt\u00edv s\u00edk mint z\u00e1rt fel\u00fclet<\/td>\n348<\/td>\n<\/tr>\n
V\u00e9ges \u00f6sszef\u00fcgg\u00e9s\u0171 fel\u00fcletek norm\u00e1lt\u00edpusai<\/td>\n358<\/td>\n<\/tr>\n
Valamely fel\u00fclet topologikus lek\u00e9pez\u00e9se \u00f6nmag\u00e1ra. Fixpontok. Lek\u00e9pez\u00e9si oszt\u00e1lyok. A t\u00f3rusz univerz\u00e1lis fed\u0151fel\u00fclete<\/td>\n361<\/td>\n<\/tr>\n
A t\u00f3rusz konform lek\u00e9pez\u00e9se<\/td>\n366<\/td>\n<\/tr>\n
A szomsz\u00e9dos tartom\u00e1nyok probl\u00e9m\u00e1ja, a fon\u00e1lprobl\u00e9ma \u00e9s a sz\u00ednez\u00e9si probl\u00e9ma<\/td>\n370<\/td>\n<\/tr>\n
F\u00fcggel\u00e9kek a hatodik fejezethez<\/td>\n<\/td>\n<\/tr>\n
Projekt\u00edv s\u00edk a n\u00e9gydimenzi\u00f3s t\u00e9rben<\/td>\n377<\/td>\n<\/tr>\n
Euklideszi s\u00edk a n\u00e9gydimenzi\u00f3s t\u00e9rben<\/td>\n379<\/td>\n<\/tr>\n
N\u00e9v- \u00e9s t\u00e1rgymutat\u00f3<\/td>\n381<\/td>\n<\/tr>\n
A topol\u00f3gia egyszer\u0171 alapfogalmai<\/td>\n<\/td>\n<\/tr>\n
El\u0151sz\u00f3<\/td>\n393<\/td>\n<\/tr>\n
A szerz\u0151 el\u0151szava<\/td>\n395<\/td>\n<\/tr>\n
Bevezet\u00e9s<\/td>\n397<\/td>\n<\/tr>\n
Poli\u00e9derek, sokas\u00e1gok, topologikus terek<\/td>\n402<\/td>\n<\/tr>\n
Algebrai komplexusok<\/td>\n408<\/td>\n<\/tr>\n
Szimplicit\u00e1s lek\u00e9pez\u00e9sek \u00e9s invarianciat\u00e9telek<\/td>\n426<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
\n

T\u00c9MAK\u00d6R\u00d6K<\/h4>\n<\/div>","protected":false},"excerpt":{"rendered":"

Szerz\u0151: David Hilbert, Stefan Coh-Vossen
\nSzerkeszt\u0151:
\nFord\u00edt\u00f3: Strommer Gyula, Bogn\u00e1r M\u00e1ty\u00e1s
\nLektor: B\u00f6r\u00f6czky K\u00e1roly, De\u00e1k Ervin
\nBor\u00edt\u00f3:
\nFot\u00f3, grafika:
\nKiad\u00f3: Gondolat Kiad\u00f3
\nKiad\u00e1si \u00e9v: 1982
\nSorozat:
\nISBN: 9632811437
\nK\u00f6t\u00e9s: v\u00e1szon kem\u00e9ny t\u00e1bla
\nLapsz\u00e1m: 454
\nMin\u0151s\u00e9g: j\u00f3 \u00e1llapot\u00fa antikv\u00e1r k\u00f6nyv
\nForm\u00e1tum:
\nFeldolgoz\u00e1s \u00e1ltal\u00e1ban 5-10 nap. El\u0151rendel\u00e9s eset\u00e9n egyeztet\u00fcnk telefonon.<\/p>","protected":false},"featured_media":92327,"template":"","meta":[],"product_brand":[],"product_cat":[286,37,348,446,65],"product_tag":[],"class_list":["post-92326","product","type-product","status-publish","has-post-thumbnail","product_cat-magyar-nyelvu-konyvek","product_cat-antikvar-konyvek","product_cat-matematika","product_cat-matematika-szakkonyv","product_cat-szakkonyv","first","instock","taxable","shipping-taxable","purchasable","product-type-simple"],"_links":{"self":[{"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/product\/92326","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/media\/92327"}],"wp:attachment":[{"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/media?parent=92326"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/product_brand?post=92326"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/product_cat?post=92326"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.antikvarius.ro\/hu\/wp-json\/wp\/v2\/product_tag?post=92326"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}