Articles liés à The Geometry of Fractal Sets
Synopsis
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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Présentation de l'éditeur
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.
Revue de presse
'This book is filled with the geometric jewels of fractional and integral Hausdorff dimension. It contains a much-needed unified notation and includes many recent results with simplified proofs. The theory is classically and rigorously presented with applications only alluded to in the introduction. Each chapter contains a short and important problem set. This is a lovely introduction to the mathematics of fractal sets for the pure mathematician.' American Mathematical Monthly
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85)
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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The Geometry of Fractal Sets
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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The Geometry of Fractal Sets
Edité par
Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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The geometry of fractal sets K.J. Falconer. Cambridge tracts in mathematics 85; Cambridge tracts in mathematics and mathematical physics 85.
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Cambridge, Cambridge University Press, 1985
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The Geometry of Fractal Sets
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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THE GEOMETRY OF FRACTAL SETS
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Cambridge University Press, New York, NY, 1985
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Hardcover. Etat : VG+. Hardback in Very Good+ condition with Very Good dust jacket. . 8vo 8" - 9" tall. 162 pages. Light rubbing and wear to dust jacket edges. Cambridge Tracts in Mathematics 85. . * Quick Shipping * All Books Mailed in Boxes * Free Tracking Provided *. N° de réf. du vendeur 45929
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85)
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics, Series Number 85)
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
Neuf
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics 85)
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Cambridge University Press, Cambridge, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics)
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Cambridge University Press, 1985
ISBN 10 : 0521256941
ISBN 13 : 9780521256940
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