Arseniy Sheydvasser
Linear Fractional Transformations: An Illustrated Introduction
Linear Fractional Transformations: An Illustrated Introduction
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- More about Linear Fractional Transformations: An Illustrated Introduction
The principle aim of this text is to illuminate the beauty of geometry through abstractions like proofs and mathematical text, as well as visuals like illustrations and diagrams. It builds from the fundamentals of Euclidean geometry to inversive geometry and hyperbolic geometry, and expresses the underlying philosophy behind the definitions and mathematical reasoning. It can be used as primary or supplemental material for undergraduate geometry courses, complex analysis, algebra, and number theory.
Format: Hardback
Length: 231 pages
Publication date: 17 April 2023
Publisher: Springer International Publishing AG
The primary objective of this exceptional piece of writing is to unveil the captivating beauty of the subject through a combination of abstract concepts such as proofs and mathematical text, as well as captivating visuals, including an abundance of illustrations and diagrams. With minimal mathematical prerequisites, geometry is presented through the lens of linear fractional transformations, making it accessible to a wide range of readers. The exposition is engaging and the well-designed examples and exercises provide students with ample opportunities to pause and contemplate the material. The subject progresses from the foundational principles of Euclidean geometry to inversive geometry and ultimately to hyperbolic geometry. Throughout, the author endeavors to convey the underlying philosophical essence behind the definitions and mathematical reasoning.
This text serves as an excellent primary resource for an undergraduate geometry course or a freshman seminar in geometry. It can also be highly valuable as a supplementary material for instructors teaching complex analysis, algebra, and number theory at the undergraduate level. Additionally, there are elective courses that bring together seemingly disparate topics, and this text would be a welcome addition to such courses.
Weight: 606g
Dimension: 241 x 160 x 19 (mm)
ISBN-13: 9783031250019
Edition number: 1st ed. 2023
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