By Donald W. Blackett
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.
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Extra info for Elementary Topology: A Combinatorial and Algebraic Approach
Elementary Topology: A Combinatorial and Algebraic Approach by Donald W. Blackett