Differential Topology
Springer International Publishing (Verlag)
978-3-319-36938-9 (ISBN)
The book will appeal to graduate students and researchers interested in these topics. An elementary knowledge of linear algebra, general topology, multivariate calculus, analysis and algebraic topology is recommended.
Preface.- 1.Basic Concepts of Manifolds.- 2.Approximation Theorems and Whitney s Embedding.- 3.Linear Structures on Manifolds.- 4.Riemannian Manifolds.- 5.Vector Bundles on Manifolds.- 6.Transversality.- 7.Tubular Neighbourhoods.- 8.Spaces of Smooth Maps.- 9.Morse Theory.- 10.Theory of Handle Presentations.- Bibliography.- Index.
lt;p>"The book presented by the author consists of ten chapters. ... it may serve as the first source of information on Differential Topology for all mathematics major students." (Andrew Bucki, zbMATH 1332.57001, 2016)
Erscheinungsdatum | 04.11.2016 |
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Zusatzinfo | XIII, 349 p. 25 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Schlagworte | analytic geometry • Analytic topology • Global Analysis and Analysis on Manifolds • handle presentations • h-cobordism • immersions and embeddings • Manifolds • Manifolds and Cell Complexes (incl. Diff.Topology) • Mathematics • mathematics and statistics • Numerical analysis • smooth maps • tubular neighbourhoods transversality |
ISBN-10 | 3-319-36938-5 / 3319369385 |
ISBN-13 | 978-3-319-36938-9 / 9783319369389 |
Zustand | Neuware |
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