The Four Pillars of Geometry

1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-1-4419-2063-8
Verlag: Springer

Buch, Englisch, 229 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 376 g

Reihe: Undergraduate Texts in Mathematics

Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract. The book contains more than 100 figures, and a large selection of exercises in each chapter.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Stillwell, John

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Elementare Geometrie: Allgemeines
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

Straightedge and compass.- Euclid’s approach to geometry.- Coordinates.- Vectors and Euclidean spaces.- Perspective.- Projective planes.- Transformations.- Non-Euclidean geometry.