£109.98

Birkhauser Euclidean Geometry and its Subgeometries

59 black & white illustrations, 1 black

Price data last checked 59 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 32 days • 32 data points (No recent data available)

Historical
Generating forecast...
£109.99 £104.49 £106.69 £108.89 £111.08 £113.28 £115.48 25 January 2026 01 February 2026 09 February 2026 17 February 2026 25 February 2026

Price Distribution

Price distribution over 32 days • 1 price levels

Days at Price
32 days 0 8 16 24 32 £110 Days at Price

Price Analysis

Most common price: £110 (32 days, 100.0%)

Price range: £110 - £110

Price levels: 1 different prices over 32 days

Description

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems for triangles, embedding the real numbers in a line, and coordinatization of the plane are included, as well as theorems of Pythagoras, Desargues, Pappas, Menelaus, and Ceva. The final chapter covers consistency and independence of axioms, as well as independence of definition properties. There are over 300 exercises; solutions to many of these, including all that are needed for this development, are available online at the homepage for the book at www.springer.com. Supplementary material is available online covering construction of complex numbers, arc length, the circular functions, angle measure, and the polygonal form of the Jordan Curve theorem. Euclidean Geometry and Its Subgeometries is intended for advanced students and mature mathematicians, but the proofs are thoroughly worked out to make it accessible to undergraduate students as well. It can be regarded as a completion, updating, and expansion of Hilbert's work, filling a gap in the existing literature.

Product Specifications

Format
Hardcover
Domain
Amazon UK
Release Date
18 January 2016
Listed Since
22 July 2015

Barcode

No barcode data available

Similar Products You Might Like

The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)
95% match

The Foundations of Geometry and the Non-Euclidean Plane (Undergraduate Texts in Mathematics)

Springer

£46.97 16 Feb 2026
Euclidean, Non-Euclidean, and Transformational Geometry: A Deductive Inquiry
95% match

Euclidean, Non-Euclidean, and Transformational Geometry: A Deductive Inquiry

Birkhauser

£52.28 08 Mar 2026
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
94% match

Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)

Springer

£44.99 31 Jan 2026
Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane
94% match

Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane

Springer

£61.55 25 Jan 2026
Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane
94% match

Lectures on Euclidean Geometry - Volume 1: Euclidean Geometry of the Plane

Springer

£49.90 20 Feb 2026
Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics
94% match

Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics

Springer

£64.63 16 Feb 2026
Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics
94% match

Lectures on Euclidean Geometry - Volume 2: Circle measurement, Transformations, Space Geometry, Conics

Springer

£49.78 09 Apr 2026
Geometries (Student Mathematical Library)
94% match

Geometries (Student Mathematical Library)

£38.99 05 Feb 2026
Axiomatic Geometry (Pure and Applied Undergraduate Texts)
94% match

Axiomatic Geometry (Pure and Applied Undergraduate Texts)

£63.21 21 Feb 2026
Revolutions of Geometry (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
93% match

Revolutions of Geometry (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Wiley

£114.67 10 Mar 2026
Euclidean Geometry in Mathematical Olympiads (Problem Books)
93% match

Euclidean Geometry in Mathematical Olympiads (Problem Books)

£35.99 14 Jan 2026
Geometry for College Students (Pure and Applied Undergraduate Texts)
93% match

Geometry for College Students (Pure and Applied Undergraduate Texts)

£64.95 10 Feb 2026
Classical Geometry: Euclidean, Transformational, Inversive, and Projective
93% match

Classical Geometry: Euclidean, Transformational, Inversive, and Projective

Wiley

£78.69 22 Feb 2026
Geometry: A High School Course
93% match

Geometry: A High School Course

Springer

£42.40 17 Mar 2026
Euclidean and Non-Euclidean Geometry: An Analytic Approach
93% match

Euclidean and Non-Euclidean Geometry: An Analytic Approach

Cambridge University Press

£49.25 13 Feb 2026
College Geometry: A Unified Development (Textbooks in Mathematics)
93% match

College Geometry: A Unified Development (Textbooks in Mathematics)

CRC Press

£90.54 09 Jan 2026
Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach
93% match

Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach

World Scientific Publishing Company

£104.53 09 Mar 2026
An Excursion through Elementary Mathematics, Volume II: Euclidean Geometry (Problem Books in Mathematics)
93% match

An Excursion through Elementary Mathematics, Volume II: Euclidean Geometry (Problem Books in Mathematics)

Springer

£50.00 16 Feb 2026
Geometry with Trigonometry
93% match

Geometry with Trigonometry

Woodhead Publishing

£55.99 19 Feb 2026
Basic Algebraic Geometry (Springer Study Edition)
93% match

Basic Algebraic Geometry (Springer Study Edition)

Springer

£43.07 07 Mar 2026
Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
93% match

Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry

Springer

£47.51 24 Feb 2026
Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)
93% match

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

De Gruyter

£118.00 07 Mar 2026
A Course in Modern Geometries (Undergraduate Texts in Mathematics)
93% match

A Course in Modern Geometries (Undergraduate Texts in Mathematics)

Springer

£39.18 07 Mar 2026
Geometry of Convex Sets
93% match

Geometry of Convex Sets

Wiley

£79.47 08 Jan 2026