Download E-books Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) PDF

By David A. Singer

A desirable travel via components of geometry scholars are not going to determine within the remainder of their experiences whereas, even as, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how possible choices to Euclids 5th postulate result in attention-grabbing and assorted styles and symmetries, and, within the technique of reading geometric gadgets, the writer contains the algebra of complicated and hypercomplex numbers, a few graph concept, and a few topology. attention-grabbing difficulties are scattered in the course of the textual content. however, the publication in simple terms assumes a path in Euclidean geometry at highschool point. whereas many techniques brought are complicated, the mathematical thoughts will not be. Singers vigorous exposition and off-beat strategy will vastly attraction either to scholars and mathematicians, and the contents of the ebook could be lined in a one-semester path, probably as a sequel to a Euclidean geometry direction.

Show description

Read or Download Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) PDF

Best Algebraic Geometry books

The Many Facets of Geometry: A Tribute to Nigel Hitchin (Oxford Science Publications)

Few humans have proved extra influential within the box of differential and algebraic geometry, and in displaying how this hyperlinks with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made basic contributions in components as assorted as: spin geometry, instanton and monopole equations, twistor conception, symplectic geometry of moduli areas, integrables structures, Higgs bundles, Einstein metrics, hyperkähler geometry, Frobenius manifolds, Painlevé equations, designated Lagrangian geometry and reflect symmetry, conception of grebes, and lots of extra.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of uncomplicated examples and strategies during this sector. compatible for self-study through a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yankee Mathematical Society, in addition to a profitable Springer writer.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In accordance with a direction given to proficient high-school scholars at Ohio collage in 1988, this ebook is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really expert treatises on fractal geometry.

Higher-Dimensional Algebraic Geometry (Universitext)

The type idea of algebraic kinds is the focal point of this booklet. This very lively sector of analysis remains to be constructing, yet an awesome volume of data has collected over the last 20 years. The authors objective is to supply an simply available advent to the topic. The ebook starts off with preparatory and conventional definitions and effects, then strikes directly to talk about quite a few elements of the geometry of soft projective forms with many rational curves, and finishes in taking the 1st steps in the direction of Moris minimum version software of type of algebraic forms by means of proving the cone and contraction theorems.

Additional resources for Geometry: Plane and Fancy (Undergraduate Texts in Mathematics)

Show sample text content

Rated 4.87 of 5 – based on 29 votes