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## by M. Helena Noronha ISBN: 013033717X
Author: M. Helena Noronha
Publisher: Prentice Hall; 1st edition (January 15, 2002)
Language: English
Pages: 409
ePub: 1934 kb
Fb2: 1822 kb
Rating: 4.1
Other formats: azw lit mobi doc
Category: Math Sciences
Subcategory: Mathematics

Students and general readers who want a solid grounding in the fundamentals of space would do well to let M. Helena Noronha's Euclidean and Non-Euclidean Geometries be their guide. Noronha, professor of mathematics at California State University, Northridge, breaks geometry down to its essentials and shows students how Riemann, Lobachevsky, and the rest built their own by re-evaluating the parallel postulate.

Euclidean and Non-Euclidean Geometries book. This book develops a self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods. Concise and well organized, it prompts readers to prove a theorem yet provides them with a framework for doing so. Chapter topics cover neutral geometry, Euclidean plane geometry, geometric transformations, Euclidean 3-space, Euclidean n-space; perimet This book develops a self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods.

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one. In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries.

Noronha, M. Helena Noronha, M. Helena.

Euclidean and Non-Euclidean Geometries by. Helena Noronha, Noronha, M. Want to Read savin. ant to Read.

by Helena Noronha and Noronha, M.

Euclidean and Non-Euclidean Geometries. Helena Noronha, California State University, Northridge. This text develops a one or two term, self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods. The analytical methods help students visualize abstract theorems. Much of the content has been written to the needs of students with a secondary teaching option, yet the text will also appeal to undergraduate mathematics majors interested in geometry.

Euclidean and Non-Euclidean Geometry: An Analytic Approach. 66 MB·2,319 Downloads·New! This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical. Foundations of Euclidean and Non-Euclidean Geometry. 39 MB·835 Downloads·New! Geometry Illuminated: An Illustrated Introduction to Euclidean and Hyperbolic Plane Geometry. 86 MB·3,759 Downloads·New!

Mathematics, Geometry, History, Hyperbolic, Elliptic, Analytical, Euclidean. I haven't gone through a lot of the book yet, but I hear it's a great book on Non-Euclidean geometry.

Mathematics, Geometry, History, Hyperbolic, Elliptic, Analytical, Euclidean. folkscanomy mathematics; folkscanomy; additional collections. Sommerville Elements of Non Euclidean Geometry . ell & Sons Ltd. 1914 Acrobat 7 Pdf 2. Mb. Scanned by artmisa using Canon DR2580C + flatbed option.

Non-Euclidean geometry, literally any geometry that is not the same as Euclidean geometry. Non-Euclidean geometry, literally any geometry that is not the same as Euclidean geometry. Although the term is frequently used to refer only to hyperbolic geometry, common usage includes those few geometries (hyperbolic and spherical) that differ from but are very close to Euclidean geometry (see table).

Euclidean geometry Euclidean-style of geometry is a prime example of the use of deductive reasoning But we can ask .

Euclidean geometry Euclidean-style of geometry is a prime example of the use of deductive reasoning But we can ask, what is it about, really? For some, it seems to be a mathematical description of the properties of the physical world But is that really true? Note: Book I and the next books treat plane geometry, but the final section – Books XI, XII, XIII – is devoted to solid (3D) geometry. That is a big part of Euclid's system too (and perhaps even the ultimate goal, via the Platonic solids ).

This book develops a self-contained treatment of classical Euclidean geometry through both axiomatic and analytic methods. Concise and well organized, it prompts readers to prove a theorem yet provides them with a framework for doing so. Chapter topics cover neutral geometry, Euclidean plane geometry, geometric transformations, Euclidean 3-space, Euclidean n-space; perimeter, area and volume; spherical geometry; hyperbolic geometry; models for plane geometries; and the hyperbolic metric.
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