By Donald W. Blackett
ISBN-10: 0121030504
ISBN-13: 9780121030506
ISBN-10: 0121030601
ISBN-13: 9780121030605
The book first elaborates on a few examples of surfaces and their classifications. Discussions specialize in combinatorial invariants of a floor, combinatorial equivalence, surfaces and their equations, topological surfaces, coordinates on a sphere and torus, and homes of the sector and torus. The textual content then examines complicated conics and protecting surfaces and mappings into the sector, together with purposes of the winding quantity in advanced research, mappings into the airplane, winding variety of a airplane curve, masking surfaces, and complicated conies.
The booklet examines vector fields, community topology, and third-dimensional topology. subject matters contain topological items and fiber bundles, manifolds of configurations, paths, circuits, and bushes, vector fields and hydrodynamics, vector fields on a sphere, and vector fields and differential equations.
The e-book is extremely suggested for sophomores, juniors, and seniors who've accomplished a 12 months of calculus.
Read or Download Elementary Topology: A Combinatorial and Algebraic Approach PDF
Best geometry & topology books
The Geometry of Special Relativity - download pdf or read online
The Geometry of specific Relativity presents an creation to big relativity that encourages readers to determine past the formulation to the deeper geometric constitution. The textual content treats the geometry of hyperbolas because the key to realizing particular relativity. This technique replaces the ever present γ image of most traditional remedies with the right hyperbolic trigonometric features.
Download PDF by Victor Andreevich Toponogov: Differential Geometry of Curves and Surfaces: A Concise
Central topics lined contain curves, surfaces, geodesics, intrinsic geometry, and the Alexandrov international attitude comparision theoremMany nontrivial and unique difficulties (some with tricks and solutions)Standard theoretical fabric is mixed with more challenging theorems and intricate difficulties, whereas preserving a transparent contrast among the 2 degrees
Get Geometry: Our Cultural Heritage PDF
This can be a revised version of the ? rst printing which seemed in 2002. The ebook relies on lectures on the collage of Bergen, Norway. through the years those lectures have coated many various elements and points of the fantastic ? eld of geometry. hence it hasn't ever been attainable to provide an entire and ?
Der Leitfaden Geometrie führt Lehramtsstudierende in zentrale Teilgebiete der Geometrie ein. Durchgängige Orientierung an Erkenntnissen der Lernpsychologie und Textproduktion, beispielorientiertes Entdecken mathematischer Sätze und Beweise, Motivation durch interessante Quereinstiege und vielfältige Bezüge zu Alltagsfragestellungen kennzeichnen die Konzeption des Leitfadens Geometrie.
- Convexity and Concentration (The IMA Volumes in Mathematics and its Applications)
- A Short Course in Computational Geometry and Topology (SpringerBriefs in Applied Sciences and Technology)
- When Topology Meets Chemistry: A Topological Look at Molecular Chirality (Outlooks)
- Fundamentals of Hyperbolic Manifolds: Selected Expositions: Manifolds v. 3 (London Mathematical Society Lecture Note Series)
- Homogeneous Structures on Riemannian Manifolds (London Mathematical Society Lecture Note Series)
Extra info for Elementary Topology: A Combinatorial and Algebraic Approach
Example text
Elementary Topology: A Combinatorial and Algebraic Approach by Donald W. Blackett
by Brian
4.2