Geometry

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Geometry arose independently in a number of early cultures as a practical way for dealing with lengths, areas, and volumes. Geometry began to see elements of formal mathematical science emerging in the West as early as the 6th century BC. By the 3rd century BC, geometry was put into an axiomatic form by Euclid, whose
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Flatland: A Romance of Many Dimensions
The Greedy Triangle (Brainy Day Books)
Euclid's Elements
Sir Cumference and the First Round Table: A Math Adventure (Sir Cumference, #1)
Geometry and the Imagination
Geometry Revisited
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
The First Six Books of the Elements of Euclid
Sacred Geometry: Philosophy and Practice
Introduction to Geometry (Wiley Classics Library)
Geometry: A Comprehensive Course (Dover Books on Mathematics)
Sacred Geometry (Wooden Books, 35)
The Fractal Geometry of Nature
Geometry: Euclid and Beyond (Undergraduate Texts in Mathematics)
Algebraic Geometry (Graduate Texts in Mathematics, 52)

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Paul  Lockhart
Be honest: did you actually read [the above geometric proof]? Of course not. Who would want to? The effect of such a production being made over something so simple is to make people doubt their own intuition. Calling into question the obvious by insisting that it be 'rigorously proved' ... is to say to a student 'Your feelings and ideas are suspect. You need to think and speak our way. ...more
Paul Lockhart, A Mathematician's Lament: How School Cheats Us Out of Our Most Fascinating and Imaginative Art Form

Understanding develops slowly.
F. William Lawvere, Conceptual Mathematics: A First Introduction to Categories

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