Geometry: A Comprehensive Course

Author: Dan Pedoe

Publisher: Courier Corporation

ISBN: 0486131734

Category: Mathematics

Page: 464

View: 7596

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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
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Elementary Mathematics from an Advanced Standpoint

Geometry

Author: Felix Klein

Publisher: Courier Corporation

ISBN: 0486167410

Category: Mathematics

Page: 224

View: 5043

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This comprehensive treatment features analytic formulas, enabling precise formulation of geometric facts, and it covers geometric manifolds and transformations, concluding with a systematic discussion of fundamentals. 1939 edition. Includes 141 figures.
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Geometry of Complex Numbers

Circle Geometry, Moebius Transformation, Non-euclidean Geometry

Author: Hans Schwerdtfeger

Publisher: Courier Corporation

ISBN: 9780486638300

Category: Mathematics

Page: 200

View: 7666

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Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "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.
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Introductory Non-Euclidean Geometry

Author: Henry Parker Manning

Publisher: Courier Corporation

ISBN: 0486442624

Category: Mathematics

Page: 95

View: 4951

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This fine and versatile introduction to non-Euclidean geometry is appropriate for both high-school and college classes. It begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. Major topics include hyperbolic geometry, single elliptic geometry, and analytic non-Euclidean geometry. 1901 edition.
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The Theory and Practice of Conformal Geometry

Author: Steven G. Krantz

Publisher: Courier Dover Publications

ISBN: 0486810321

Category: Mathematics

Page: 304

View: 4340

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In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function theory and also some of the rudiments of geometry and analysis that make this subject so vibrant and lively." More up-to-date and accessible to advanced undergraduates than most of the other books available in this specific field, the treatment discusses the history of this active and popular branch of mathematics as well as recent developments. Topics include the Riemann mapping theorem, invariant metrics, normal families, automorphism groups, the Schwarz lemma, harmonic measure, extremal length, analytic capacity, and invariant geometry. A helpful Bibliography and Index complete the text.
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Topological Spaces

Including a Treatment of Multi-valued Functions, Vector Spaces, and Convexity

Author: Claude Berge

Publisher: Courier Corporation

ISBN: 9780486696539

Category: Mathematics

Page: 270

View: 5991

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Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions. Topics include families of sets, topological spaces, mappings of one set into another, ordered sets, more. Examples included from different domains. 1963 edition.
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Combinatorics of Finite Sets

Author: Ian Anderson

Publisher: Courier Corporation

ISBN: 9780486422572

Category: Mathematics

Page: 250

View: 3518

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Among other subjects explored are the Clements-Lindström extension of the Kruskal-Katona theorem to multisets and the Greene-Kleitmen result concerning k-saturated chain partitions of general partially ordered sets. Includes exercises and solutions.
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Elementary Matrix Theory

Author: Howard Whitley Eves

Publisher: Courier Corporation

ISBN: 9780486639468

Category: Mathematics

Page: 325

View: 6530

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This text for undergraduates "employs a concrete elementary approach, avoiding abstraction until the final chapter."--Back cover.
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Point Set Topology

Author: Steven A. Gaal

Publisher: Courier Corporation

ISBN: 0486472221

Category: Mathematics

Page: 336

View: 4888

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Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
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