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Linear Fractional Transformations on Hardback by Arseniy Sheydvasser
Linear Fractional Transformations on Hardback by Arseniy Sheydvasser
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Linear Fractional Transformations

An Illustrated Introduction
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Description

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.

Author Biography:

Arseniy (Senia) Sheydvasser is a postdoctoral researcher in the department of mathematics at the Technion. His interests include algebraic number theory, additive number theory, and logic.
Release date Australia
April 17th, 2023
Pages
231
Edition
1st ed. 2023
Audience
  • Professional & Vocational
Illustrations
96 Illustrations, color; 10 Illustrations, black and white; XV, 231 p. 106 illus., 96 illus. in color.
ISBN-13
9783031250019
Product ID
36337705

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