Items related to Geometry of Complex Numbers (Dover Books on Mathematics)
Synopsis
"This book should be in every library, and every expert in classical function theory should be familiar with this material. The author has performed a distinct service by making this material so conveniently accessible in a single book." — Mathematical Review
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.
"synopsis" may belong to another edition of this title.
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Geometry of Complex Numbers (Dover Books on Mathematics)
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Geometry of Complex Numbers (Dover Books on Mathematics)
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Geometry of Complex Numbers
Published by
Dover Publications, Incorporated, 1980
ISBN 10: 0486638308
ISBN 13: 9780486638300
Used
Softcover
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Geometry of Complex Numbers
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Geometry of Complex Numbers
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Geometry of Complex Numbers
Published by
Dover Publications, New York, NY, 1980
ISBN 10: 0486638308
ISBN 13: 9780486638300
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Paperback
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Paperback. Condition: Near Fine. 200 pp. Tightly bound. Spine not compromised Text is free of markings. No ownership markings. Seller Inventory # 024806
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Geometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry
Published by
Dover Publications, New York, NY, 1980
ISBN 10: 0486638308
ISBN 13: 9780486638300
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Paperback
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Paperback. Condition: Very Good. 198 pp. Tightly bound. Spine not compromised Text is free of markings. No ownership markings. Seller Inventory # 027391
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Geometry of Complex Numbers (Dover Books on Mathematics)
Published by
Dover Publications Inc., New York., 1980
ISBN 10: 0486638308
ISBN 13: 9780486638300
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Soft cover. Condition: Very Good. Softcover 1980 edition. Text and covers in very good to near fine condition. Binding firm. Text free from markings. {300 pages}. Seller Inventory # 018860
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Geometry of Complex Numbers : Circle Geometry, Moebius Transformation, Non-Euclidean Geometry
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Geometry of Complex Numbers (Paperback or Softback)
Published by
Dover Publications 2/1/1980, 1980
ISBN 10: 0486638308
ISBN 13: 9780486638300
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Paperback or Softback. Condition: New. Geometry of Complex Numbers 0.51. Book. Seller Inventory # BBS-9780486638300
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