The Foundations of Geometry:
The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra. The author of this book is convinced that the two are but different sides of the same coin, and that they should be presented together to a student of math...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Toronto
University of Toronto Press
[2019]
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| Schriftenreihe: | Heritage
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 URL des Erstveröffentlichers |
| Zusammenfassung: | The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra. The author of this book is convinced that the two are but different sides of the same coin, and that they should be presented together to a student of mathematics as soon as the curriculum will permit. Certainly, no graduate of an Honours course should miss at least a brief exposure to these stimulating ideas. When the first edition of this book appeared, a reviewer in the American Mathematical Monthly commented: 'If this book had a subtitle, it might well have been "The Theorems of Desargues and Pappus," for these two theorems play a central role throughout the text; their dependence and independence of various axioms is continually studied. Nowhere before, in English, has the importance of these two theorems been so carefully demonstrated...this is a most excellent book, and it will inspire many students of mathematics.' Largely as a result of the work of Ruth Moufang, the interplay between algebraic and geometrical ideas has been further investigated of recent years. Many interesting problems have come to light, some of which have been solved. In this fourth edition, an Appendix has been added which attempts to summarize a part of this work and provide the reader with references so that he may learn more of these interesting developments |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) |
| Beschreibung: | 1 online resource (184 pages) |
| ISBN: | 9781487574062 |
| DOI: | 10.3138/9781487574062 |
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| 520 | |a The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra. The author of this book is convinced that the two are but different sides of the same coin, and that they should be presented together to a student of mathematics as soon as the curriculum will permit. Certainly, no graduate of an Honours course should miss at least a brief exposure to these stimulating ideas. When the first edition of this book appeared, a reviewer in the American Mathematical Monthly commented: 'If this book had a subtitle, it might well have been "The Theorems of Desargues and Pappus," for these two theorems play a central role throughout the text; their dependence and independence of various axioms is continually studied. Nowhere before, in English, has the importance of these two theorems been so carefully demonstrated...this is a most excellent book, and it will inspire many students of mathematics.' Largely as a result of the work of Ruth Moufang, the interplay between algebraic and geometrical ideas has been further investigated of recent years. Many interesting problems have come to light, some of which have been solved. In this fourth edition, an Appendix has been added which attempts to summarize a part of this work and provide the reader with references so that he may learn more of these interesting developments | ||
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Datensatz im Suchindex
| _version_ | 1804180742929907712 |
|---|---|
| any_adam_object | |
| author | de Beauregard Robinson, Gilbert |
| author_facet | de Beauregard Robinson, Gilbert |
| author_role | aut |
| author_sort | de Beauregard Robinson, Gilbert |
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| building | Verbundindex |
| bvnumber | BV046286248 |
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| ctrlnum | (ZDB-23-DGG)9781487574062 (OCoLC)1130275692 (DE-599)BVBBV046286248 |
| dewey-full | 513/.01 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513/.01 |
| dewey-search | 513/.01 |
| dewey-sort | 3513 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.3138/9781487574062 |
| format | Electronic eBook |
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| isbn | 9781487574062 |
| language | English |
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| spelling | de Beauregard Robinson, Gilbert aut The Foundations of Geometry Gilbert de Beauregard Robinson Toronto University of Toronto Press [2019] © 1959 1 online resource (184 pages) txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019) The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra. The author of this book is convinced that the two are but different sides of the same coin, and that they should be presented together to a student of mathematics as soon as the curriculum will permit. Certainly, no graduate of an Honours course should miss at least a brief exposure to these stimulating ideas. When the first edition of this book appeared, a reviewer in the American Mathematical Monthly commented: 'If this book had a subtitle, it might well have been "The Theorems of Desargues and Pappus," for these two theorems play a central role throughout the text; their dependence and independence of various axioms is continually studied. Nowhere before, in English, has the importance of these two theorems been so carefully demonstrated...this is a most excellent book, and it will inspire many students of mathematics.' Largely as a result of the work of Ruth Moufang, the interplay between algebraic and geometrical ideas has been further investigated of recent years. Many interesting problems have come to light, some of which have been solved. In this fourth edition, an Appendix has been added which attempts to summarize a part of this work and provide the reader with references so that he may learn more of these interesting developments In English MATHEMATICS / Geometry / General bisacsh Geometry Foundations https://doi.org/10.3138/9781487574062 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | de Beauregard Robinson, Gilbert The Foundations of Geometry MATHEMATICS / Geometry / General bisacsh Geometry Foundations |
| title | The Foundations of Geometry |
| title_auth | The Foundations of Geometry |
| title_exact_search | The Foundations of Geometry |
| title_full | The Foundations of Geometry Gilbert de Beauregard Robinson |
| title_fullStr | The Foundations of Geometry Gilbert de Beauregard Robinson |
| title_full_unstemmed | The Foundations of Geometry Gilbert de Beauregard Robinson |
| title_short | The Foundations of Geometry |
| title_sort | the foundations of geometry |
| topic | MATHEMATICS / Geometry / General bisacsh Geometry Foundations |
| topic_facet | MATHEMATICS / Geometry / General Geometry Foundations |
| url | https://doi.org/10.3138/9781487574062 |
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