Fractals, Chaos, Power Laws: Minutes From An Infinite Paradise

Fractals, Chaos, Power Laws: Minutes From An Infinite Paradise

Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a property of widespread scientific importance and is at the centre of much of the recent work in chao fractals, and other areas of current research and popular interest. Self-similarity is related to symmetry analysis is an attribute of many physical laws: particle physics and those governing Newton's laws of gravitation. Symmetry, found throughout the biological universe, is also a basic property of the mathematical universe. In this book the author explores the idea's of scaling, self-similarity, chaos. and fractals as they appear throughout the universe of pure and applied mathematics. Because of his formidable research experience, stretching from the acoustical modelling of concert halls to pure number theory, Schroeder is able to take the reader on an intellectual excursion through this vast forest of topics. Requires a basic familiarity with undergraduate mathematics and elementary physics.