Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Kurv
  1. Bog
  2. Topologi
  3. Algebraisk topologi

New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory

Af: Dan Burghelea Engelsk Hardback

New Topological Invariants For Real- And Angle-valued Maps: An Alternative To Morse-novikov Theory

Af: Dan Burghelea Engelsk Hardback
Tjek vores konkurrenters priser

This book is about new topological invariants of real- and angle-valued maps inspired by Morse–Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics. They are the backbone of what the author proposes as a computational alternative to Morse–Novikov theory, referred to in this book as AMN-theory.

These invariants are on one side analogues of rest points, instantons and closed trajectories of vector fields and on the other side, refine basic topological invariants like homology and monodromy. They are associated to tame maps, considerably more general than Morse maps, that are defined on spaces which are considerably more general than manifolds. They are computable by computer implementable algorithms and have strong robustness properties. They relate the dynamics of flows that admit the map as "Lyapunov map" to the topology of the underlying space, in a similar manner as Morse–Novikov theory does.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 800
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

This book is about new topological invariants of real- and angle-valued maps inspired by Morse–Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics. They are the backbone of what the author proposes as a computational alternative to Morse–Novikov theory, referred to in this book as AMN-theory.

These invariants are on one side analogues of rest points, instantons and closed trajectories of vector fields and on the other side, refine basic topological invariants like homology and monodromy. They are associated to tame maps, considerably more general than Morse maps, that are defined on spaces which are considerably more general than manifolds. They are computable by computer implementable algorithms and have strong robustness properties. They relate the dynamics of flows that admit the map as "Lyapunov map" to the topology of the underlying space, in a similar manner as Morse–Novikov theory does.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 260
ISBN-13: 9789814618243
Indbinding: Hardback
Udgave:
ISBN-10: 9814618241
Kategori: Algebraisk topologi
Udg. Dato: 13 okt 2017
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 13 okt 2017
Forfatter(e): Dan Burghelea
Forfatter(e) Dan Burghelea

Kategori Algebraisk topologi

ISBN-13 9789814618243

Sprog Engelsk

Indbinding Hardback

Sider 260

Udgave

Længde 0mm

Bredde 0mm

Højde 0mm

Udg. Dato 13 okt 2017

Oplagsdato 13 okt 2017

Forlag World Scientific Publishing Co Pte Ltd