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The Geometry of Fractal Sets
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The Geometry of Fractal Sets Paperback - 1986

by K. J. Falconer


From the publisher

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

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  • Title The Geometry of Fractal Sets
  • Author K. J. Falconer
  • Binding Paperback
  • Edition reprint
  • Pages 180
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, cambridge, london, New York, ...
  • Date 1986-07-24
  • ISBN 9780521337052 / 0521337054
  • Weight 0.61 lbs (0.28 kg)
  • Dimensions 8.98 x 6.08 x 0.45 in (22.81 x 15.44 x 1.14 cm)
  • Library of Congress Catalog Number QA447 1986
  • Dewey Decimal Code 514.742
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The Geometry of Fractal Sets [Cambridge Tracts in Mathematics 85]

The Geometry of Fractal Sets [Cambridge Tracts in Mathematics 85]

by Falconer, K.J.

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Cambridge/NY: Cambridge University Press, 1985. Immaculate and tight textblock; Covers lightly edge rubbed. 162p., including index.. First Printing. Glossy Wraps. Near Fine. 8vo - 7 3/4" - 9 3/4 " Tall. Paperback.
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The Geometry of Fractal Sets: 85 (Cambridge Tracts in Mathematics, Series Number 85)

The Geometry of Fractal Sets: 85 (Cambridge Tracts in Mathematics, Series Number 85)

by Falconer, K. J

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Cambridge University Press, 1987. paperback. Good. 19 to 25 cm tall, Octavo, (8vo). Posted within 1 working day. 1st class tracked post to the UK, Airmail tracked worldwide. Robust recyclable packaging.
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics)
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics)

by K. J. Falconer

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Cambridge: Cambridge University Press, 1987. Reprint. Paperback. Very Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Small plain label to inside front cover. Crease to top right corner of front cover.
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The Geometry of Fractal Sets ( Cambridge Tracts in Mathematics 85 )

The Geometry of Fractal Sets ( Cambridge Tracts in Mathematics 85 )

by Falconer, K. J

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Cambridge University Press, Cambridge, Great Britain, 1990. reprint. Softcover. Very Good Condition. This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net… Read More
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics Series Number 85)
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics Series Number 85)

by Falconer, K. J.

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Cambridge University Press, 1986 Book. Very Good+. Soft cover. 8vo - over 7¾" - 9¾" tall. Minor shelf wear. Owner stamp and date on inside front cover. Otherwise a square, tight, unmarked book. Index. xiv, 162 pp. .
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The Geometry of Fractal Sets
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The Geometry of Fractal Sets

by Falconer, K. J.

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Cambridge - New York - Melbourne: Cambridge University Press, 1985. Book. Very Good. Trade Paperback. ISBN: 0-521-33705-4, Very light shelf rubbing, previous owner's penned name to the ffep, little wear overall. Text is clean. 'This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust-like' sets are exhibited.' 162 pages. Cambridge Tracts in Mathematics # 85..
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The Geometry of Fractal Sets

The Geometry of Fractal Sets

by Kenneth Falconer

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The Geometry of Fractal Sets
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The Geometry of Fractal Sets

by K. J. Falconer

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Cambridge Univ Pr, 1986. Paperback. New. reprint edition. 176 pages. 9.25x6.00x0.50 inches.
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The Geometry of Fractal Sets

The Geometry of Fractal Sets

by Kenneth J. Falconer

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Paperback / softback. New. This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions.
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The Geometry of Fractal Sets
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The Geometry of Fractal Sets

by Falconer, K. J

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