A Course in Modern Geometries (Undergraduate Texts in - download pdf or read online

By Judith N. Cederberg

Designed for a junior-senior point path for arithmetic majors, together with those that plan to coach in secondary college. the 1st bankruptcy offers a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 keeps the artificial technique in introducing either Euclids and concepts of non-Euclidean geometry. There follows a brand new advent to symmetry and hands-on explorations of isometries that precedes an in depth analytic therapy of similarities and affinities. bankruptcy four offers aircraft projective geometry either synthetically and analytically, and the hot bankruptcy five makes use of a descriptive and exploratory method of introduce chaos conception and fractal geometry, stressing the self-similarity of fractals and their new release by means of adjustments from bankruptcy three. all through, every one bankruptcy contains a checklist of steered assets for functions or similar themes in components resembling paintings and background, plus this moment variation issues to net destinations of author-developed publications for dynamic software program explorations of the Poincaré version, isometries, projectivities, conics and fractals. Parallel types can be found for "Cabri Geometry" and "Geometers Sketchpad".

Show description

Read or Download A Course in Modern Geometries (Undergraduate Texts in Mathematics) PDF

Similar geometry & topology books

Electromagnetic Theory and Computation: A Topological by Paul W. Gross,P. Robert Kotiuga PDF

Even though topology used to be famous through Gauss and Maxwell to play a pivotal function within the formula of electromagnetic boundary price difficulties, it's a mostly unexploited instrument for box computation. the advance of algebraic topology for the reason that Maxwell offers a framework for linking facts constructions, algorithms, and computation to topological points of third-dimensional electromagnetic boundary price difficulties.

Real Analysis: Measures, Integrals and Applications - download pdf or read online

Actual research: Measures, Integrals and functions is dedicated to the fundamentals of integration concept and its similar themes. the most emphasis is made at the homes of the Lebesgue indispensable and numerous purposes either classical and people infrequently coated in literature. This e-book presents an in depth advent to Lebesgue degree and integration in addition to the classical effects relating integrals of multivariable capabilities.

Symmetric Spaces and the Kashiwara-Vergne Method (Lecture by François Rouvière PDF

Collecting and updating effects scattered in magazine articles over thirty years, this self-contained monograph offers a complete creation to the topic. Its objective is to: - inspire and clarify the strategy for common Lie teams, lowering the evidence of deep ends up in invariant research to the verification of 2 formal Lie bracket identities concerning the Campbell-Hausdorff formulation (the "Kashiwara-Vergne conjecture"); - supply an in depth facts of the conjecture for quadratic and solvable Lie algebras, that's fairly ordinary; - expand the strategy to symmetric areas; the following an obstruction seems, embodied in one amazing item referred to as an "e-function"; - clarify the position of this functionality in invariant research on symmetric areas, its relation to invariant differential operators, suggest worth operators and round services; - supply an specific e-function for rank one areas (the hyperbolic spaces); - build an e-function for basic symmetric areas, within the spirit of Kashiwara and Vergne's unique paintings for Lie teams.

Download e-book for iPad: Differential Topology by Amiya Mukherjee

This ebook provides a scientific and entire account of the speculation of differentiable manifolds and gives the required history for using basic differential topology instruments. The textual content comprises, particularly, the sooner works of Stephen Smale, for which he used to be provided the Fields Medal.

Additional info for A Course in Modern Geometries (Undergraduate Texts in Mathematics)

Sample text

Download PDF sample

A Course in Modern Geometries (Undergraduate Texts in Mathematics) by Judith N. Cederberg

by Charles

Rated 4.41 of 5 – based on 26 votes