By David A. Singer
A desirable journey via elements of geometry scholars are not going to work out within the remainder of their experiences whereas, while, anchoring their tours to the well-known parallel postulate of Euclid. the writer exhibits how choices to Euclids 5th postulate result in attention-grabbing and diverse styles and symmetries, and, within the means of interpreting geometric gadgets, the writer contains the algebra of advanced and hypercomplex numbers, a few graph idea, and a few topology. fascinating difficulties are scattered through the textual content. however, the booklet basically assumes a path in Euclidean geometry at highschool point. whereas many options brought are complicated, the mathematical recommendations should not. Singers energetic exposition and off-beat procedure will tremendously charm either to scholars and mathematicians, and the contents of the publication should be lined in a one-semester direction, might be as a sequel to a Euclidean geometry path.
Read Online or Download Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) PDF
Similar Algebraic Geometry books
This edited selection of chapters, authored by way of prime specialists, presents a whole and primarily self-contained development of 3-fold and 4-fold klt flips. a wide a part of the textual content is a digest of Shokurov's paintings within the box and a concise, whole and pedagogical facts of the life of 3-fold flips is gifted.
An obtainable textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this publication develops the language of algebraic geometry from scratch and makes use of it to establish the speculation of affine algebraic teams from first rules. construction at the history fabric from algebraic geometry and algebraic teams, the textual content offers an advent to extra complicated and specialized fabric.
Notice: merchandise do have huge Margins. An advent to summary algebraic geometry, with the one must haves being effects from commutative algebra, that are said as wanted, and a few user-friendly topology. greater than four hundred routines allotted in the course of the publication supply particular examples in addition to extra specialized subject matters now not taken care of primarily textual content, whereas 3 appendices current short bills of a few parts of present learn.
Extra resources for Geometry: Plane and Fancy (Undergraduate Texts in Mathematics)