Buch, Englisch, 601 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1086 g
Buch, Englisch, 601 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1086 g
ISBN: 978-3-030-53060-0
Verlag: Springer International Publishing
Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject.
This is the first volume in a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.
The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
- Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
- Mathematik | Informatik Mathematik Topologie Algebraische Topologie
Weitere Infos & Material
Foreword.- Preface.- 1 The Combinatorics of Plane Curve Singularities.- 2 The Topology of Surface Singularities.- 3 Resolution of Singularities: an Introduction.- 4 Stratification Theory.- 5 Morse Theory, Stratification and Sheaves.- 6 The Topology of the Milnor Fibration.- 7 Deformation and Smoothing of Singularities.- 8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities.- 9 The Lefschetz Theorem for Hyperplane Sections.- 10 Finite Dimensional Lie Algebras in Singularities. -Index.