A Geometrical Picture Book

How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry and combinatorial designs, you could start by showing t

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S. Axler F.W. Gehring K.A. Ribet

Springer Science+Business Media, LLC

Universitext Editors (North America): S. Axler, F.W. Gehring, and K.A. Ribet AksoylKbamsi: Nonstandard Methods in Fixed Point Theory Andersson: Topics in Complex Analysis Aupetit: A Primer on Spectral Theory BoossIBleecker: Topology and Analysis Borkar: Probability Theory: An Advanced Course CarlesonlGamelin: Complex Dynamics Cecil: Lie Sphere Geometry: With Applications to Submanifolds Chae: Lebesgue Integration (2nd ed.) Charlap: Bieberbach Groups and Flat Manifolds Chern: Complex Manifolds Without Potential Theory Cohn: A Classical Invitation to Algebraic Numbers and Class Fields Curtis: Abstract Linear Algebra Curtis: Matrix Groups DiBenedetto: Degenerate Parabolic Equations Dimca: Singularities and Topology of Hypersurfaces Edwards: A Formal Background to Mathematics I alb Edwards: A Formal Background to Mathematics II alb Foulds: Graph Theory Applications Friedman: Algebraic Surfaces and Holomorphic Vector Bundles Fuhrmann: A Polynomial Approach to Linear Algebra Gardiner: A First Course in Group Theory Girdingffambour: Algebra for Computer Science Goldblatt: Orthogonality and Spacetime Geometry GustafsonIRao: Numerical Range: The Field of Values of Linear Operators and Matrices Hahn: Quadratic Algebras, Clifford Algebras, and Arithmetic Witt Groups Holmgren: A First Course in Discrete Dynamical Systems Howe!fan: Non-Abelian Harmonic Analysis: Applications of SL(2, R) Howes: Modem Analysis and Topology HumiIMiller: Second Course in Ordinary Differential Equations HurwitzJKritikos: Lectures on Number Theory Jennings: Modem Geometry with Applications JoneslMorrislPearson: Abstract Algebra and Famous Impossibilities KannanIKrueger: Advanced Analysis KellylMatthews: The Non-Euclidean Hyperbolic Plane Kostrikin: Introduction to Algebra LueckinglRubel: Complex Analysis: A Functional Analysis Approach MacLaneIMoerdijk: Sheaves in Geometry and Logic Marcus: Number Fields McCartby: Introduction to Arithmetical Functions Meyer: Essential Mathematics for Applied Fields MineslRicbmanlRuitenburg: A Course in Constructive Algebra Moise: Introductory Problems Course in Analysis and Topology Morris: Introduction to Game Theory Polster: A Geometrical Picture Book PorterlWoods: Extensions and Absolutes of Hausdorff Spaces RamsaylRicbtmyer: Introduction to Hyperbolic Geometry Reisel: Elementary Theory of Metric Spaces Rickart: Natural Function Algebras (continued after index)

Burkard Polster

A Geometrical Picture Book With 405 Illustrations

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Springer

Burkard Poister Department of Pure Mathematics The University of Adelaide Adelaide, SA 5005 Australia

Editorial Board (North America): S. Axler Mathematics Department San Francisco State University San Francisco, CA 94132 USA

EW. Gehring Mathematics Department East HalI University of Michigan Ann Arbor, MI 48109 USA

K.A. Ribet Department of Mathematics University of California at Berkeley Berkeley, CA 94720-3840 USA

Mathematics Subject Classification (1991): 05Bxx, SI-OI, 51-02 Library of Congress