Linear Fractional Transformations
Linear Fractional Transformations The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as…
Specifikacia Linear Fractional Transformations
Linear Fractional Transformations
The principle aim of this unique text is to illuminate the beauty of the subject both with abstractions like proofs and mathematical text, and with visuals, such as abundant illustrations and diagrams. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations.
Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning.This text may be used as primary for an undergraduate geometry course or a freshman seminar in geometry, or as supplemental to instructors in their undergraduate courses in complex The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end.