Geometry by its history
In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as wel...
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| Glavni autori: | , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2012. |
| Serija: | Readings in Mathematics
|
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometry by its history, Alexander Ostermann, Gerhard Wanner, 2012, Berlin, Heidelberg, Springer, 1 vol. (XII-437 p.), Undergraduate texts in mathematics, 978-3-642-29162-3 • Geometry by Its History, Texte imprimé, 9783642444692 • Geometry by Its History, Texte imprimé, 9783642291647 |
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| 020 | |a 9783642291630 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516 | ||
| 100 | 1 | |a Ostermann, Alexander, |d 19..- | |
| 245 | 1 | 0 | |a Geometry by its history |c by Alexander Ostermann, Gerhard Wanner. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Readings in Mathematics |x 2945-5847 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Part I: Classical Geometry Thales and Pythagoras The Elements of Euclid Conic Sections Further Results on Euclidean Geometry Trigonometry Part II: Analytic Geometry Descartes' Geometry Cartesian Coordinates To be Constructible, or not to be Spatial Geometry and Vector Algebra Matrices and Linear Mappings Projective Geometry Solutions to Exercises References Figure Source and Copyright Index | |
| 505 | 0 | |a Preface -- Part I: Classical Geometry -- Part II: Analytic Geometry -- References -- Figure Source and Copyright -- Index -- Thales and Pythagoras -- The Elements of Euclid -- Conic Sections -- Further Results on Euclidean Geometry -- Trigonometry -- Descartes' Geometry -- Cartesian Coordinates -- To be Constructible, or not to be -- Spatial Geometry and Vector Algebra -- Matrices and Linear Mappings -- Projective Geometry -- Solutions to Exercises | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapter offers an introduction to projective geometry, which emerged in the 19th century.Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike | ||
| 650 | |a Géométrie | ||
| 650 | |a Histoire |x Modèles mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 700 | 1 | |a Wanner, Gerhard, |d 1942- |4 aut | |
| 776 | 0 | |0 184907993 |t Geometry by its history |f Alexander Ostermann, Gerhard Wanner |d 2012 |c Berlin, Heidelberg |n Springer |p 1 vol. (XII-437 p.) |s Undergraduate texts in mathematics |z 978-3-642-29162-3 | |
| 776 | 0 | |t Geometry by Its History |b Texte imprimé |z 9783642444692 | |
| 776 | 0 | |t Geometry by Its History |b Texte imprimé |z 9783642291647 | |
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| 856 | 4 | |5 180339901:752174495 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-29163-0 |z Accès INSA CVL | |
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