XWe have detected your location as outside the U.S/Canada, if you think this is wrong, you can choose your location.

Macmillan Higher Education Celebrating 20 years of Macmillan Study Skills

Cart

Continue Shopping
All prices are shown excluding Tax
The submitted promocode is invalid
Discount code already used. It can only be used once.
* Applied promocode: ×

Important information on your ebook order

Geometry

Author(s):
Publisher:

Springer

Further Actions:

Recommend to library


Categories:

AVAILABLE FORMATS

Paperback - 9783319503691

11 June 2020

Free Shipping

Not yet published

Ebook - 9783319503707

11 June 2020

Not yet published

All prices are shown excluding Tax

Affine, projective, spherical, Möbius, and hyperbolic geometries are covered by this textbook. Special emphasis is given on the groups of transformations in the spirit of the Erlangen program of Felix Klein as transformation...

Show More

Affine, projective, spherical, Möbius, and hyperbolic geometries are covered by this textbook. Special emphasis is given on the groups of transformations in the spirit of the Erlangen program of Felix Klein as transformation groups not only provide a theoretical basis for the geometries, but also allow to solve concrete problems, which are an organic part of the book.

By establishing direct connections and by looking at the same notion or problem from different points of view the author gives a harmonic overview of the geometry. Starting with classical topics such as conics and quadrics, duality and polarity, cross-ratio, spherical and hyperbolic trigonometry he leads to less classical ones like compositions of reflections, volumes of spherical and hyperbolic tetrahedra, billiards, de Sitter geometry.

As only the knowledge of linear algebra, complex numbers and basic group theory is required this book is accessible to second year undergraduate students. However, graduate students in algebraic geometry, differential geometry, or geometric topology will also find this basic inventory of what every geometer should know a helpful hand.

Show Less

This Book deals with classical geometry on the basis of the Erlangen program.

Summarizes what every geometer should know.

Provides a basis for the study of more advanced subjects and gives an outlook into some of these areas.




1.Introduction
2.Euclidean and affine geometry
3.Conics and quadrics
4.Projective geometry
5.Möbius geometry
6.Spherical geometry
7.Hyperbolic geometry.-

Add a review

Ivan Izmestiev is a professor at University of Fribourg

Show More

Ivan Izmestiev is a professor at University of Fribourg

Show Less

New Publications 

Best Sellers