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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ostermann, Alexander (Autor), Wanner, Gerhard (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Readings in Mathematics,
Temas:
Geometry.
Algebraic geometry.
Mathematics.
History.
Algebraic Geometry.
History of Mathematical Sciences.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Geometry by Its History  |h [electronic resource] /  |c by Alexander Ostermann, Gerhard Wanner. 
250 |a 1st ed. 2012. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2012. 
300 |a XII, 440 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 1 |a Readings in Mathematics,  |x 2945-5847 
505 0 |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. 
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 0 |a Geometry. 
650 0 |a Algebraic geometry. 
650 0 |a Mathematics. 
650 0 |a History. 
650 1 4 |a Geometry. 
650 2 4 |a Algebraic Geometry. 
650 2 4 |a History of Mathematical Sciences. 
700 1 |a Wanner, Gerhard.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783642291623 
776 0 8 |i Printed edition:  |z 9783642444692 
776 0 8 |i Printed edition:  |z 9783642291647 
830 0 |a Readings in Mathematics,  |x 2945-5847 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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