Skip to content

Get A Course in Modern Geometries (Undergraduate Texts in PDF

By Judith N. Cederberg

Designed for a junior-senior point path for arithmetic majors, together with those that plan to educate in secondary institution. the 1st bankruptcy offers numerous finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the unreal 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 provides airplane projective geometry either synthetically and analytically, and the recent bankruptcy five makes use of a descriptive and exploratory method of introduce chaos thought and fractal geometry, stressing the self-similarity of fractals and their iteration via modifications from bankruptcy three. all through, every one bankruptcy features a record of instructed assets for purposes or similar subject matters in parts reminiscent of artwork and heritage, plus this moment version issues to net destinations of author-developed publications for dynamic software program explorations of the Poincaré version, isometries, projectivities, conics and fractals. Parallel models can be found for "Cabri Geometry" and "Geometers Sketchpad".

Show description

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

Similar geometry & topology books

Yasuko Chikuse's Statistics on Special Manifolds (Lecture Notes in PDF

Protecting statistical research at the distinct manifolds, the Stiefel manifold and the Grassmann manifold, this ebook is designed as a reference for either theoretical and utilized statisticians. it's going to even be used as a textbook for a graduate path in multivariate research. it truly is assumed that the reader is aware the standard thought of univariate facts and an intensive history in arithmetic, specifically, wisdom of multivariate calculation suggestions.

Download e-book for kindle: The Nature and Power of Mathematics (Dover Books on by Donald M. Davis

This pleasing ebook explains a few of arithmetic' such a lot attention-grabbing principles to nonspecialists. It explores goods of philosophical and old curiosity, discusses the often-surprising applicability of arithmetic, and divulges the subject's intrinsic attractiveness. writer Donald M. Davis makes a speciality of 3 major components: non-Euclidean geometry, a foundation for relativity idea; quantity thought, an important element of cryptography; and fractals, the most important components of computer-generated artwork.

Get Cartan Geometries and their Symmetries: A Lie Algebroid PDF

During this publication we first evaluate the tips of Lie groupoid and Lie algebroid, and the linked techniques of connection. We subsequent give some thought to Lie groupoids of fibre morphisms of a  fibre package deal, and the connections on such groupoids including their symmetries. We additionally see how the infinitesimal strategy, utilizing Lie algebroids instead of Lie groupoids, and specifically utilizing Lie algebroids of vector fields alongside the projection of the fibre package, could be of gain.

Get An Interactive Introduction to Knot Theory (Aurora: Dover PDF

This well-written and interesting quantity, meant for undergraduates, introduces knot thought, a space of growing to be curiosity in modern arithmetic. The hands-on process gains many workouts to be accomplished by way of readers. must haves are just a uncomplicated familiarity with linear algebra and a willingness to discover the topic in a hands-on demeanour.

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

Example text

Download PDF sample

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

by Mark

Rated 4.22 of 5 – based on 19 votes