Space-Filling Curves
The subject of space-filling curves has fascinated mathematicians for over a century and has intrigued many generations of students of mathematics. Working in this area is like skating on the edge of reason. Unfortunately, no comprehensive treatment has e
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J.H. Ewing F.W. Gehring P.R. Halmos
Universitext Editors (North America): J.H. Ewing, F.W. Gehring, and P.R. Halmos AksoylKhamsi: Nonstandard Methods in Fixed Point Theory Aupetit: A Primer on Spectral Theory Bachumikern: Linear Programming Duality BenedettilPetronio: Lectures on Hyperbolic Geometry Berger: Geometry I, II (two volumes) BliedtnerlHansen: Potential Theory BoossIBleecker: Topology and Analysis CarlesonlGamelin: Complex Dynamics Cecil: Lie Sphere Geometry: With Applications to Submaoifolds Chandrasekharan: Classical Fourier Transforms 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 van Dalen: Logic and Structure Das: The Special Theory of Relativity: A Mathematical Exposition Devlin: Fundamentals of Contemporary Set Theory 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 Emery: Stochastic Calculus Foulds: Graph Theory Applications Frauenthal: Mathematical Modeling in Epidemiology FukhsIRokhlin: Beginner's Course in Topology Gallot/Hu1in/Lafontaine: Riemannian Geometry Gardiner: A First Course in Group Theory Gardingffambour: Algebra for Computer Science GodbillOll: Dynamical Systems on Surfaces Goldblatt: Orthogonality and Spacetime Geometry Hahn: Quadradic Algebras, Clifford Algebras, and Arithmetic of Forms HiawkafSchoissengeierffaschner: Geometric and Analytic Number Theory Holmgren: A First Course in Discrete Dynamical Systems Howeffan: Non-Abelian Harmonic Analysis: Applications of SL(2.RJ HumilMiller: Second Course in Ordinary Differential Equations HurwitzlKritikos: Lectures on Number Theory Iversen: Cohomology of Sheaves Jennings: Modem Geometry with Applications JonesIMorrislPearson: Abstract Algebra and Famous Impossibilities KeUylMatthews: The Non-Euclidean Hyperbolic Plane Kempf: Complex Abelian Varieties and Theta Functions Kostrikin: Introduction to Algebra KrasnoselskiiIPekrovskii: Systems with Hysteresis LueckinglRubel:- Complex Analysis: A Functional Analysis Approach MacLaneIMoerdijk: Sheaves in Geometry and Logic Marcus: Number Fields (continued after index)
Hans Sagan
Space-Filling Curves With 65 Figures
Springer Science+Business Media, LLC
HansS~an
5004 GIen Forest Drive Raleigh, NC 27612 USA and Mathematisches Institut der Universität Wien Strudlhofgasse 4 A-I090 Wien, Austria
Editorial Board (North America): J.H. Ewing Department of Mathematics Indiana University Bloomington, IN 47405 USA
F. W. Gehring Department of Mathematics University of Michigan Ann Arbor, MI 48109 USA
P.R. Halmos Department of Mathematics Santa Clara University Santa Clara, CA 95053 USA Mathematics Subject Classifications (1991): 02-40 Library of Congress Cataloging-in-Publication Data Sagan, Hans. Space-filling curves / Hans Sagan. p. cm. - (Universitext) Includes bibliographical refe
