Gespeichert in:
Beteilige Person: | |
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Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
1986
|
Links: | https://doi.org/10.1017/CBO9780511806209 |
Zusammenfassung: | This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices. |
Umfang: | 1 Online-Ressource (xvii, 215 Seiten) |
ISBN: | 9780511806209 |
Internformat
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100 | 1 | |a Ryan, Patrick J. | |
245 | 1 | 0 | |a Euclidean and non-Euclidean geometry |b an analytical approach |c Patrick J. Ryan |
246 | 3 | |a Euclidean & Non-Euclidean Geometry | |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1986 | |
300 | |a 1 Online-Ressource (xvii, 215 Seiten) | ||
336 | |b txt | ||
337 | |b c | ||
338 | |b cr | ||
520 | |a This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices. | ||
776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9780521256544 |
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Datensatz im Suchindex
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id | ZDB-20-CTM-CR9780511806209 |
illustrated | Not Illustrated |
indexdate | 2025-05-15T09:21:34Z |
institution | BVB |
isbn | 9780511806209 |
language | English |
open_access_boolean | |
owner | DE-91 DE-BY-TUM |
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physical | 1 Online-Ressource (xvii, 215 Seiten) |
psigel | ZDB-20-CTM TUM_PDA_CTM ZDB-20-CTM |
publishDate | 1986 |
publishDateSearch | 1986 |
publishDateSort | 1986 |
publisher | Cambridge University Press |
record_format | marc |
spelling | Ryan, Patrick J. Euclidean and non-Euclidean geometry an analytical approach Patrick J. Ryan Euclidean & Non-Euclidean Geometry Cambridge Cambridge University Press 1986 1 Online-Ressource (xvii, 215 Seiten) txt c cr This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices. Erscheint auch als Druck-Ausgabe 9780521256544 Erscheint auch als Druck-Ausgabe 9780521276351 |
spellingShingle | Ryan, Patrick J. Euclidean and non-Euclidean geometry an analytical approach |
title | Euclidean and non-Euclidean geometry an analytical approach |
title_alt | Euclidean & Non-Euclidean Geometry |
title_auth | Euclidean and non-Euclidean geometry an analytical approach |
title_exact_search | Euclidean and non-Euclidean geometry an analytical approach |
title_full | Euclidean and non-Euclidean geometry an analytical approach Patrick J. Ryan |
title_fullStr | Euclidean and non-Euclidean geometry an analytical approach Patrick J. Ryan |
title_full_unstemmed | Euclidean and non-Euclidean geometry an analytical approach Patrick J. Ryan |
title_short | Euclidean and non-Euclidean geometry |
title_sort | euclidean and non euclidean geometry an analytical approach |
title_sub | an analytical approach |
work_keys_str_mv | AT ryanpatrickj euclideanandnoneuclideangeometryananalyticalapproach AT ryanpatrickj euclideannoneuclideangeometry |