Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, ...(展开全部)

"...a blend of erudition (fascinating and sometimes obscure historical minutiae abound), popularization (mathematical rigor is relegated to appendices) and exposition (the reader need have little knowledge of the fields involved) ...and the illustrations include many superb examples of computer graphics that are works of art in their own right." Nature

Since its original publication in 1990, Kenneth Falconera s Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. This new edition has been extensively revised and upd...(展开全部)

Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. These two areas interact with each other and with the theory of chaos in a fundamental way: many dynamical systems (even some very simple ones) produce fractal sets, which are in turn a source of i...(展开全部)

米哈伊尔•米哈伊洛维奇•波斯特尼可夫(1927-2004)Михаил Михайлович Постников(1927-2004) 数学物理科学博士、教授 1965年至2004年在莫斯科大学数学力学系高等几何学与拓扑学工作。 苏联列宁奖金获得者（1967） М. М. 波斯特尼可夫1927年10月27日出生。1945年毕业于莫斯科大学数学力学系。1945年至947年在莫斯科大学数学力学系数学部读研究生，1947年至1949年在苏联科学院斯捷克洛夫数学研究所读研究生。1949年通过副博士论文答辩（导师Л. С. 邦德里亚金），且从那时起就在苏联科学院斯捷克洛夫数学研究所几何学与拓扑学研究室工作（目前，是高级研究员）。1953年通过数学物理科学博士论文答辩。从1965年起在莫斯科大学数学力学系高等几何学与拓扑学教研室担任教授。 1957年为表彰М. ...(展开全部)

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject ...(展开全部)