Kontakt
Kako nakupovati
Dostava
Svetovalec pri nakupu
Computers, Rigidity, and Moduli
The Large-Scale Fractal Geometry of Riemannian Moduli Space
Angleščina
252 b
30 dni za vračilo blaga
Drugi so kupili tudi
/
Mehka
13.06
€
/
Mehka
28.55
€
This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow. The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgngers--that is, other objects that are extremely difficult to distinguish from it. Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem.
O knjigi
Angleščina
Kategorije
Podarite to knjigo še danes
To je povsem preprosto
1 Dodajte knjigo v košarico in izberite dostavo kot darilo 2 V zameno vam bomo poslali kupon 3 Knjiga bo dostavljena na naslov obdarovancaMorda bi vas zanimalo tudi
/
Mehka
5.26
€
/
Mehka
6.57
€
/
Mehka
30.48
€
/
Trda
96.01
€
Pozdravljeni! Sem Libroamiko, vaš knjižni svetovalec.
Kako vam lahko pomagam?