>>13550465For the autodidact, good texts are a must. In that regard, I can recommend the following series:
(Algebra\Trigonometry\The Method Coordinates\Functions and Graphs\Learn Limits through Problems) - gelfand
(Arithmetic\Geometry\Algebra\Calculus) for the Practical Man\Worker - Thompson
Modern Mathematics for the Practical Man/Worker - MacNeil
For a first geometry course, Basic Geometry 3e by birkhoff is good starting point. Also Solomonovich wrote, euclidean geometry - a first course, in the same spirit. After which you could follow up with any of the following:
Symmetry - weyl
Symmetry discovered - Concepts and applications in nature and science
Groups and symmetry - A guide to discovering mathematics - farmer
Geometric Inequalities - Kazarinoff
The Fascination of Groups - budden
Maxima and Minima without Calculus
passing through,
Proofs without Words: Exercises in Visual Thinking vols I,II, and III
When Less is More: Visualizing Basic Inequalities
Math Made Visual: Creating Images for Understanding Mathematics
then,
Geometry, Algebra, and Trigonometry by Vector Methods - copeland or A Vector Space Approach to Geometry - hausner
Practical linear algebra - a geometry toolbox
and ending at
Number, Shape, and Symmetry - An Introduction to Number Theory, Geometry, and Group Theory
Classical Geometry - Euclidean, Transformational, Inversive, and Projective
Geometry - brannan
Fundamental Concepts of Geometry - meserve
A Mathematical Gift I,II,III - The Interplay Between Topology, Functions, Geometry, and Algebra
Of course I'm not suggesting you read everything listed here. However, they are worth taking a look at and most are available for free on
b-ok.cc or similar sites.
