عنوان

Foundations of geometry :

(Number (ISBN

048683557X

(Number (ISBN

9780486835570

Erroneous ISBN

0486828093

Erroneous ISBN

9780486828091

Title Proper

Foundations of geometry :

General Material Designation

[Book]

Other Title Information

Euclidean, Bolyai-Lobachevskian, and projective geometry /

First Statement of Responsibility

Karol Borsuk, Wanda Szmielew ; translated by Erwin Marquit.

Place of Publication, Distribution, etc.

Mineola, New York :

Name of Publisher, Distributor, etc.

Dover Publications,

Date of Publication, Distribution, etc.

2018.

Specific Material Designation and Extent of Item

1 online resource (xiv, 444 pages) :

Other Physical Details

illustrations

Series Title

Dover Books on Mathematics

Text of Note

Includes index.

Text of Note

Axioms of incidence and order -- Axioms of congruence -- Axiom of continuity -- Models of absolute geometry -- Euclidean geometry -- Bolyai-Lobachevskian geometry -- Axioms of incidence and order -- Axiom of continuity -- Models of projective geometry.

0

Text of Note

In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text. Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.

Title

Foundations of geometry.

International Standard Book Number

9780486828091

Geometry-- Foundations.

Geometry-- Foundations.

MATHEMATICS-- Geometry-- General.

Number

Edition

Class number

Book number

Borsuk, Karol

Marquit, Erwin

Szmielew, Wanda

Date of Transaction

20200822114449.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y