Download e-book for kindle: A Course in Modern Geometries (Undergraduate Texts in by Judith N. Cederberg

By Judith N. Cederberg

ISBN-10: 0387989722

ISBN-13: 9780387989723

ISBN-10: 1441931937

ISBN-13: 9781441931931

ISBN-10: 3540969225

ISBN-13: 9783540969228

Designed for a junior-senior point direction for arithmetic majors, together with those that plan to educate in secondary college. the 1st bankruptcy offers a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the bogus process in introducing either Euclids and ideas of non-Euclidean geometry. There follows a brand new creation to symmetry and hands-on explorations of isometries that precedes an in depth analytic remedy 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 concept and fractal geometry, stressing the self-similarity of fractals and their new release through adjustments from bankruptcy three. all through, every one bankruptcy incorporates a record of steered assets for purposes or similar subject matters in components resembling artwork and background, plus this moment variation issues to internet destinations of author-developed courses 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

Differential Geometry of Varieties with Degenerate Gauss by Maks A. Akivis,Vladislav V. Goldberg PDF

This publication surveys the differential geometry of sorts with degenerate Gauss maps, utilizing relocating frames and external differential varieties in addition to tensor equipment. The authors illustrate the constitution of types with degenerate Gauss maps, make certain the singular issues and singular kinds, locate focal photos and build a class of the forms with degenerate Gauss maps.

Geometry: A Comprehensive Course (Dover Books on by Dan Pedoe PDF

"A lucid and masterly survey. " — arithmetic GazetteProfessor Pedoe is well known as a great instructor and a superb geometer. His skills in either parts are sincerely obtrusive during this self-contained, well-written, and lucid advent to the scope and strategies of undemanding geometry. It covers the geometry often incorporated in undergraduate classes in arithmetic, aside from the speculation of convex units.

Read e-book online Poncelet Porisms and Beyond: Integrable Billiards, PDF

The objective of the booklet is to give, in an entire and accomplished method, components of present learn interlacing round the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. crucial effects and concepts, classical in addition to sleek, hooked up to the Poncelet theorem are provided, including a ancient assessment reading the classical rules and their traditional generalizations.

New PDF release: Cartan Geometries and their Symmetries: A Lie Algebroid

During this e-book we first evaluate the guidelines of Lie groupoid and Lie algebroid, and the linked recommendations of connection. We subsequent think about Lie groupoids of fibre morphisms of a  fibre package, 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 deal, will be of gain.

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 Michael

Rated 4.40 of 5 – based on 13 votes