Classical Geometry: Euclidean, Transformational, Inversive, and Projective
Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understa...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Somerset
Wiley
2014
|
| Ausgabe: | 1st ed |
| Schlagworte: | |
| Zusammenfassung: | Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (411 pages) |
| ISBN: | 9781118679142 9781118679197 |
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Datensatz im Suchindex
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| author | Leonard, I. E. |
| author_facet | Leonard, I. E. |
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| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV043609153 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:52Z |
| institution | BVB |
| isbn | 9781118679142 9781118679197 |
| language | English |
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| publisher | Wiley |
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| spelling | Leonard, I. E. Verfasser aut Classical Geometry Euclidean, Transformational, Inversive, and Projective 1st ed Somerset Wiley 2014 © 2014 1 online resource (411 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning. Focusing on the development of geometric intuitionwhile avoiding the axiomatic method, a problem solving approach is encouraged throughout. The book is strategically divided into three sections: Part One focuses on Euclidean geometry, which provides the foundation for the rest of the material covered throughout; Part Two discusses Euclidean transformations of the plane, as well as groups and their use in studying transformations; and Part Three covers inversive and projective geometry as natural extensions of Euclidean geometry. In addition to featuring real-world applications throughout, Classical Geometry: Euclidean, Transformational, Inversive, and Projective includes: Multiple entertaining and elegant geometry problems at the end of each section for every level of study Fully worked examples with exercises to facilitate comprehension and retention Unique topical coverage, such as the theorems of Ceva and Menalaus and their applications An approach that prepares readers for the art of logical reasoning, modeling, and proofs The book is an excellent textbook for courses in introductory geometry, elementary geometry, modern geometry, and history of mathematics at the undergraduate level for mathematics majors, as well as for engineering and secondary education majors. The book is also ideal for anyone who would like to learn the various applications of elementary geometry Mathematik Geometry Mathematics, Applied Mathematics Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrie (DE-588)4020236-7 s 1\p DE-604 Lewis, J. E. Sonstige oth Liu, A. C. F. Sonstige oth Leonard, I Ed Sonstige oth Erscheint auch als Druck-Ausgabe Leonard, I E.. Classical Geometry : Euclidean, Transformational, Inversive, and Projective 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Leonard, I. E. Classical Geometry Euclidean, Transformational, Inversive, and Projective Mathematik Geometry Mathematics, Applied Mathematics Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4020236-7 |
| title | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_auth | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_exact_search | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_full | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_fullStr | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_full_unstemmed | Classical Geometry Euclidean, Transformational, Inversive, and Projective |
| title_short | Classical Geometry |
| title_sort | classical geometry euclidean transformational inversive and projective |
| title_sub | Euclidean, Transformational, Inversive, and Projective |
| topic | Mathematik Geometry Mathematics, Applied Mathematics Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematik Geometry Mathematics, Applied Mathematics Geometrie |
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