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Klasická mechanika a chaos: Kniha 1 fyziky od Maximum Information Emanation
Hardcover
General MathematicsGeneral Science
Publisher: Golden Tao Publishing
Published: Aug 7 2026
Pages: 324
Weight: 1.33
Height: 0.75 Width: 6.00 Depth: 9.00
Language: Czech
Toto je překlad z anglického originálu.
Tato kniha poskytuje popis klasické mechaniky, počÃnaje klasickými formulacemi pohybu bodových částic. Teprve kdyz byla klasická mechanika jiz dobře zavedená, bylo zjistěno, ze v mnoha systémech existujà dvě oblasti pohybu: nechaotická a chaotická. Jedná se o modernà výklad klasické mechaniky, který zahrnuje teorii chaosu a také vazby na pozdějsà teoretický vývoj. Výklad se v celém rozsahu skládá z prezentace zajÃmavých problémů, z nichz mnohé jsou vyřeseny, ostatnà jsou ponechány čtenáři. Problémy jsou čerpány z kurzů klasické mechaniky a matematiky absolvovaných na Caltechu, Oxfordu a University of Wisconsin. Kurzy sahajà od bakalářské úrovně az po pokročilou magisterskou úroveň. Kurzy měly bohatý a sofistikovaný výběr učebnic a referenčnÃch materiálů, jak se dalo očekávat, a tyto referenčnà texty jsou zde podobně čerpány. Jak budeme postupovat materiálem, uvidÃme, ze v podstatě studujeme obyčejné diferenciálnà rovnice se zvysujÃcà se slozitostà (odpovÃdajÃcà napřÃklad slozitějsÃmu pohybu kyvadla, napřÃklad přidánÃm třecà sÃly). Tato silná shoda se základnà matematikou obyčejných diferenciálnÃch rovnic motivuje k umÃstěnà dodatku pro rychlé shrnutà obyčejných diferenciálnÃch rovnic z pohledu aplikované matematiky.
Kromě modernÃho výkladu základnà teorie obyčejných diferenciálnÃch rovnic, včetně chaosu, majà dalsà hlavnà modernà prvky naznačit, kde můze teorie klasické mechaniky propojit teorie teprve budoucÃch, jako je kvantová mechanika a speciálnà relativita. Existuje pět teoretických oblastà implementace klasické mechaniky, kde je kvantová mechanika triviálně indikována (analytickým rozsÃřenÃm/pokračovánÃm nebo algebraickou modifikacà z abelovské na neabelovskou), a tyto oblasti jsou podrobně popsány. Podobně existujà tři oblasti experimentálnÃho pouzitÃ, kde je indikována speciálnà relativita, které jsou také popsány.
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