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Linear Fractional Transformations: An Illustrated Introduction
Hardcover
Series: Undergraduate Texts in Mathematics
ISBN13: 9783031250019
Publisher: Springer
Published: Apr 17 2023
Pages: 231
Weight: 0.75
Height: 0.71 Width: 6.06 Depth: 9.29
Language: English
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. With few mathematical prerequisites, geometry is presented through the lens of linear fractional transformations. The exposition is motivational and the well-placed examples and exercises give students ample opportunity to pause and digest the material. The subject builds from the fundamentals of Euclidean geometry, to inversive geometry, and, finally, to hyperbolic geometry at the end. Throughout, the author aims to express the underlying philosophy behind the definitions and mathematical reasoning.
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