Name: Linear Fractional Transformations: An Illustrated Introduction (en Inglés)
SKU: 57046576
Price: 63.69 USD
Availability: InStock
Author: Sheydvasser, Arseniy
ISBN: 9783031250040

portada Linear Fractional Transformations: An Illustrated Introduction (en Inglés)

Linear Fractional Transformations: An Illustrated Introduction (en Inglés)

Formato

Libro Físico

Autor

Arseniy Sheydvasser

Editorial

Springer

Idioma

Inglés

N° páginas

231

Encuadernación

Tapa Blanda

ISBN13

9783031250040

N° edición

2023rd

Categorías

Álgebra
Geometría diferencial y riemanniana

Linear Fractional Transformations: An Illustrated Introduction (en Inglés)

Arseniy Sheydvasser (Autor) · Springer · Tapa Blanda

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Reseña del libro "Linear Fractional Transformations: An Illustrated Introduction (en Inglés)"

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.