国外很好物理著作原版系列量子世界中的蝴蝶

Summary
About the author
Preface
Prologue
Prelude

Part I The butterfly fractal
0 Kiss precise
0．1 Apollonian gaskets and integer wonderlands
Appendix： An Apollonian sand painting-the world's largest artwork
References
1 The fractal family
1．1 The Mandelbrot set
1．2 The Feigenbaum set
1．2．1 Scaling and universality
1．2．2 Self-similarity
1．3 Classic fractals
1．3．1 The Cantor set
1．3．2 The Sierpinski gasket
1．3．3 Integral Apollonian gaskets
1．4 The Hofstadter set
1．4．1 Gaps in the butterfly
1．4．2 Hofstadter meets Mandelbrot
1．4．3 Concluding remarks： A mathematical， physical， and poetic magπ
Appendix： Harper's equation as an iterative mapping
References
2 Geometry， number theory， and the butterfly： Friendly numbers and kissing circles
2．1 Ford circles， the Farey tree， and the butterfly
2．1．1 Ford circles
2．1．2 Farey tree
……

Part II Butterfly in the quantum world
Part III Topology and the butterfly
Part IV Catching the butterfly

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