Geometry of Complex Numbers
(eBook)

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Published
Dover Publications, 2012.
Format
eBook
Status
Available Online

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Language
English
ISBN
9780486135861

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Citations

APA Citation, 7th Edition (style guide)

Hans Schwerdtfeger., & Hans Schwerdtfeger|AUTHOR. (2012). Geometry of Complex Numbers . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Hans Schwerdtfeger and Hans Schwerdtfeger|AUTHOR. 2012. Geometry of Complex Numbers. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Hans Schwerdtfeger and Hans Schwerdtfeger|AUTHOR. Geometry of Complex Numbers Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

Hans Schwerdtfeger, and Hans Schwerdtfeger|AUTHOR. Geometry of Complex Numbers Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work IDe3d1b2a9-fe72-750d-ae43-47fea847e614-eng
Full titlegeometry of complex numbers
Authorschwerdtfeger hans
Grouping Categorybook
Last Update2022-10-18 20:50:33PM
Last Indexed2024-03-28 05:16:20AM

Book Cover Information

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First LoadedNov 11, 2023
Last UsedNov 11, 2023

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    [synopsis] => Since its initial publication in 1962, Professor Schwerdtfeger's illuminating book has been widely praised for generating a deeper understanding of the geometrical theory of analytic functions as well as of the connections between different branches of geometry. Its focus lies in the intersection of geometry, analysis, and algebra, with the exposition generally taking place on a moderately advanced level. Much emphasis, however, has been given to the careful exposition of details and to the development of an adequate algebraic technique. In three broad chapters, the author clearly and elegantly approaches his subject. The first chapter, Analytic Geometry of Circles, treats such topics as representation of circles by Hermitian matrices, inversion, stereographic projection, and the cross ratio. The second chapter considers in depth the Moebius transformation: its elementary properties, real one-dimensional projectivities, similarity and classification of various kinds, anti-homographies, iteration, and geometrical characterization. The final chapter, Two-Dimensional Non-Euclidean Geometries, discusses subgroups of Moebius transformations, the geometry of a transformation group, hyperbolic geometry, and spherical and elliptic geometry. For this Dover edition, Professor Schwerdtfeger has added four new appendices and a supplementary bibliography. Advanced undergraduates who possess a working knowledge of the algebra of complex numbers and of the elements of analytical geometry and linear algebra will greatly profit from reading this book. It will also prove a stimulating and thought-provoking book to mathematics professors and teachers.
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