Topology of Low-Dimensional Manifolds by R. Fenn

By R. Fenn

Show description

Read or Download Topology of Low-Dimensional Manifolds PDF

Similar geometry books

Geometry of Complex Numbers (Dover Books on Mathematics)

Illuminating, broadly praised publication on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This publication might be in each library, and each specialist in classical functionality conception might be conversant in this fabric. the writer has played a unique carrier by way of making this fabric so with ease available in one e-book.

Geometric Tomography (Encyclopedia of Mathematics and its Applications)

Geometric tomography bargains with the retrieval of knowledge a couple of geometric item from info pertaining to its projections (shadows) on planes or cross-sections via planes. it's a geometric relative of automatic tomography, which reconstructs a picture from X-rays of a human sufferer. the topic overlaps with convex geometry and employs many instruments from that region, together with a few formulation from necessary geometry.

First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)

Differential geometry arguably deals the smoothest transition from the traditional collage arithmetic series of the 1st 4 semesters in calculus, linear algebra, and differential equations to the better degrees of abstraction and facts encountered on the higher department by way of arithmetic majors. this present day it truly is attainable to explain differential geometry as "the research of buildings at the tangent space," and this article develops this viewpoint.

Extra resources for Topology of Low-Dimensional Manifolds

Example text

It was Finland’s first university, founded in 1640, and the forerunner of today’s University of Helsinki [63, 80]. The cultural and commercial ties between Åbo and the towns of Sweden proper were close. The main examples and influences came from the capital Stockholm as well as the nation’s oldest university town and episcopal see, Uppsala. The two major landmarks of Turku—the old cathedral and the majestic stone castle in the harbour—bear witness to the town’s importance since medieval times. For the inhabitants of Finland, the first half of the eighteenth century was a time of particular hardship and distress.

Being also an ecclesiastic, Planman was later appointed vicar of two parishes near Åbo. While waiting for a suitable opportunity to present itself, Lexell made his living by private tuition of children of wealthy families. To this end, it was absolutely essential to become known and recommended by key persons in society. 18 In a small town like Åbo, everybody in the upper crust of society knew each other. Thus, Mennander had certainly become acquainted with Jonas Lexell through his public duties and was thereby able to arrange work for his mathematically-inclined son.

Notable proponents of the mathematical methods of Leibniz were the two rivalling Bernoulli brothers, Jakob I (James or Jacques) and Johann I (John or Jean). The result of the expedition led by Maupertuis to Torne River Valley in Swedish Lapland in 1736–1737 marked a turning point in the controversy between the Newtonians and Cartesians [135, 148, 159]. 14 As it subsequently was confirmed that Newton’s theory was right, namely that the Earth indeed is somewhat flattened at the poles, the Cartesians were obliged to abandon their position.

Download PDF sample

Rated 4.74 of 5 – based on 4 votes