Fractals and chaos : the Mandelbrot set and beyond : selecta volume C

>> Google Books

所蔵情報QRコード

Fractals and chaos : the Mandelbrot set and beyond : selecta volume C / Benoit B. Mandelbrot ; with a foreword by P.W. Jones and texts co-authored by C.J.G. Evertsz and M.C. Gutzwiller

資料種別:: 図書
出版情報:: New York : Springer, c2004
形態:: xii, 308 p. ; 24 cm
著者名:: Mandelbrot, Benoît B., 1924- <DA00187535>
ISBN:: 9780387201580 [0387201580]
書誌ID:: BA67158617

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Differentiable dynamical systems; Fractals; Mandelbrot sets

言語:

英語

目次情報:

Foreword / Peter W. Jones (2003)

Preface (2003)

Quadratic Julia and Mandelbrot Sets / I：

Introduction to papers on quadratic dynamics: a progression from seeing to discovering (2003) / C1：

Acknowledgments related to quadratic dynamics (2003) / C2：

Fractal aspects of the iteration of z to [lambda] z (1-z) for complex [lambda] and z (M1980n) / C3：

Cantor and Fatou dusts; self-squared dragons (M 1982F) / C4：

The complex quadratic map and its M-set (M1983p) / C5：

Bifurcation points and the "n squared" approximation and conjecture (M1985g) / C6：

The "normalized radical" of the M-set (M1985g) / C7：

The boundary of the M-set is of dimension 2 (M1985g) / C8：

Certain Julia sets include smooth components (M1985g) / C9：

Domain-filling sequences of Julia sets, and intuitive rationale for the Siegel discs (M1985g) / C10：

Continuous interpolation of the quadratic map and intrinsic tiling of the interiors of Julia sets (M1985n) / C11：

Nonquadratic Rational Dynamics / II：

Introduction to chaos in nonquadratic dynamics: rational functions devised from doubling formulas (2003) / C12：

The map z to [lambda] (z + 1/ z) and roughening of chaos from linear to planar (computer-assisted homage to K. Hokusai) (M1984k) / C13：

Two nonquadratic rational maps, devised from Weierstrass doubling formulas (1979-2003) / C14：

Iterated Nonlinear Function Systems and the Fractal Limit Sets of Kleinian Groups / III：

Introduction to papers on Kleinian groups, their fractal limit sets, and IFS: history, recollections, and acknowledgments (2003) / C15：

Self-inverse fractals, Apollonian nets, and soap (M 1982F) / C16：

Symmetry by dilation or reduction, fractals, roughness (M2002w) / C17：

Self-inverse fractals osculated by sigma-discs and limit sets of inversion ("Kleinian") groups (M1983m) / C18：

Multifractal Invariant Measures / IV：

Introduction to measures that vanish exponentially almost everywhere: DLA and Minkowski (2003) / C19：

Invariant multifractal measures in chaotic Hamiltonian systems and related structures (Gutzwiller & M 1988) / C20：

The Minkowski measure and multifractal anomalies in invariant measures of parabolic dynamic systems (M1993s) / C21：

Harmonic measure on DLA and extended self-similarity (M & Evertsz 1991) / C22：

Background and History / V：

The inexhaustible function z squared plus c (1982-2003) / C23：

The Fatou and Julia stories (2003) / C24：

Mathematical analysis while in the wilderness (2003) / C25：

Cumulative Bibliography

Index

Foreword / Peter W. Jones (2003)

Preface (2003)

Quadratic Julia and Mandelbrot Sets / I：

Introduction to papers on quadratic dynamics: a progression from seeing to discovering (2003) / C1：

Acknowledgments related to quadratic dynamics (2003) / C2：

Fractal aspects of the iteration of z to [lambda] z (1-z) for complex [lambda] and z (M1980n) / C3：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Fractals in geophysics (: us ; : sz) Scholz, C. H. (Christopher H.), Mandelbrot, Benoît B., 1924- Birkhäuser Verlag	7 図書 Fractals and chaos (: us ; : gw) Crilly, A. J., Earnshaw, Rae A., 1944-, Jones, Huw Roland Springer-Verlag
2 図書 Fractals : form, chance, and dimension (pbk) Mandelbrot, Benoît B., 1924- W. H. Freeman	8 図書 Fractals and chaos in geology and geophysics (: hbk ; : pbk) Turcotte, Donald Lawson Cambridge University Press
3 図書 The fractal geometry of nature Mandelbrot, Benoît B., 1924- W.H. Freeman	9 図書 Introduction to fractals and chaos Crownover, Richard M Jones and Bartlett
4 図書 The fractal geometry of nature Mandelbrot, Benoît B., 1924- W.H. Freeman	10 図書 Fractal physiology and chaos in medicine (: hard ; : pbk.) West, Bruce J., 1941- World Scientific
5 図書 Chaos, dynamics, and fractals : an algorithmic approach to deterministic chaos McCauley, Joseph L. Cambridge University Press	11 図書 Fractals and chaos in geology and geophysics Turcotte, Donald Lawson Cambridge University Press
6 図書 Fractals, graphics, and mathematics education Frame, Michael, Mandelbrot, Benoît B., 1924- Mathematical Association of America	12 図書 Introduction to fractals and chaos (: New York ; : Berlin) Peitgen, Heinz-Otto, 1945-, Jürgens, H. (Hartmut), Saupe, Dietmar, 1954-, National Council of Teachers of Mathematics Springer-Verlag, published in cooperation with the National Council of Teachers of Mathematics