By Donald W. Blackett

ISBN-10: 0121030504

ISBN-13: 9780121030506

ISBN-10: 0121030601

ISBN-13: 9780121030605

straight forward Topology: A Combinatorial and Algebraic process specializes in the applying of algebraic ways to topological innovations and theorems.

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.

Show description

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 ?

Download e-book for kindle: Leitfaden Geometrie: Für Studierende der Lehrämter (German by Hans-Joachim Gorski,Susanne Müller-Philipp

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.

Extra info for Elementary Topology: A Combinatorial and Algebraic Approach

Example text

Download PDF sample

Elementary Topology: A Combinatorial and Algebraic Approach by Donald W. Blackett

by Brian

Rated 4.27 of 5 – based on 12 votes