國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Collineations and conic sectionsan i...

Baltus, Christopher.

Collineations and conic sectionsan introduction to projective geometry in its history /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Collineations and conic sectionsby Christopher Baltus.
其他題名:	an introduction to projective geometry in its history /
作者:	Baltus, Christopher.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	ix, 187 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Geometry, ProjectiveHistory.
電子資源:	https://doi.org/10.1007/978-3-030-46287-1
ISBN:	9783030462871$q(electronic bk.)

Collineations and conic sectionsan introduction to projective geometry in its history /
Baltus, Christopher.

Collineations and conic sectionsan introduction to projective geometry in its history /[electronic resource] :by Christopher Baltus. - Cham :Springer International Publishing :2020. - ix, 187 p. :ill., digital ;24 cm.

Preface -- 1. Introduction -- 2. Central Collineations -- 3. The Geometry of Euclid's Elements -- 4. Conics in Greek Geometry -- 5. Conic Sections in Early Modern Europe -- 6. Conic Sections in Early Modern Europe -- 7. Central Collineations -- 8. Nineteenth Century -- 9. Foci -- 10. Steiner. 11. Desargues and Involution -- 12. Looking Ahead -- 13. Matrices and Homogeneous Coordinates -- 14. Some Applications of Conics in History -- 15. Vertical Stretch and Isaac Newton's Conics -- 16. Three Appendices -- Bibliography.

This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.

ISBN: 9783030462871$q(electronic bk.)

Standard No.: 10.1007/978-3-030-46287-1doiSubjects--Topical Terms:

876384
Geometry, Projective
--History.

LC Class. No.: QA471 / .B358 2020

Dewey Class. No.: 516.5

Collineations and conic sectionsan introduction to projective geometry in its history /
LDR:02256nmm a2200325 a 4500 001 585384
003 DE-He213
005 20201228114909.0
006 m d
007 cr nn 008maaau
008 210311s2020 sz s 0 eng d
020 $a 9783030462871$q(electronic bk.)
020 $a 9783030462864$q(paper)
024 7 $a 10.1007/978-3-030-46287-1 $2 doi
035 $a 978-3-030-46287-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA471 $b .B358 2020
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516.5 $2 23
090 $a QA471 $b .B197 2020
100 1 $a Baltus, Christopher. $3 876383
245 1 0 $a Collineations and conic sections $h [electronic resource] : $b an introduction to projective geometry in its history / $c by Christopher Baltus.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a ix, 187 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- 1. Introduction -- 2. Central Collineations -- 3. The Geometry of Euclid's Elements -- 4. Conics in Greek Geometry -- 5. Conic Sections in Early Modern Europe -- 6. Conic Sections in Early Modern Europe -- 7. Central Collineations -- 8. Nineteenth Century -- 9. Foci -- 10. Steiner. 11. Desargues and Involution -- 12. Looking Ahead -- 13. Matrices and Homogeneous Coordinates -- 14. Some Applications of Conics in History -- 15. Vertical Stretch and Isaac Newton's Conics -- 16. Three Appendices -- Bibliography.
520 $a This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry.
650 0 $a Geometry, Projective $x History. $3 876384
650 0 $a Mathematics $x History. $3 189740
650 1 4 $a Projective Geometry. $3 676333
650 2 4 $a History of Mathematical Sciences. $3 511733
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-46287-1
950 $a Mathematics and Statistics (SpringerNature-11649)