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Linear Fractional Transformations - An Illustrated Introduction (Hardcover, 1st ed. 2023)
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Linear Fractional Transformations - An Illustrated Introduction (Hardcover, 1st ed. 2023)
Series: Undergraduate Texts in Mathematics
Expected to ship within 9 - 15 working days
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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. 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 analysis, algebra, and number theory. There are elective
courses that bring together seemingly disparate topics and this
text would be a welcome accompaniment.
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