Tsonis A.A. Randomnicity. - London: Imperial College Press, 2008. - xii, 191 p.: ill. (some col.), music. - Ind.: p.189-191. - ISBN-13 978-1-84816-197-9; ISBN-10 1-84816-197-2  Место хранения:   058 | Институт физики прочности и материаловедения CO РАН | Томск | Библиотека

Оглавление / Contents

Preface ....................................................... vii Acknowledgements ............................................... ix Part I: The Three Parts of Everything ........................... 1 1. Godel Visits Escher's Studio ................................. 3 2. Godel's Theorem ............................................. 10 3. Slippery Road ............................................... 19 4. Fuller than Full ............................................ 27 5. Cantor Would Have Been Pleased .............................. 34 Part II: Sources of Randomness ................................. 39 6. A Private Lesson a Long, Long Time Ago ...................... 41 7. The Five Faces of Order ..................................... 47 8. Randomness of the First Kind ................................ 55 9. Randomness of the Second Kind ............................... 59 10.Randomness of the Third Kind ................................ 65 Part III: Randomness in the Universe ........................... 69 11.From Aristotle to Einstein .................................. 71 12.The World According to an Electron .......................... 76 13.Chaos ....................................................... 86 14.The Supreme Law ............................................. 91 15.Randomness of the Fourth Kind? .............................. 98 16.Connections ................................................ 102 17.Allowed Behaviors .......................................... 107 Part IV: The Emergence of Real World .......................... 109 18.The Fractal Character of Nature ............................ 111 19.Physics Plus Randomness .................................... 129 20.Stochastic Processes ....................................... 135 21.Self-Organization .......................................... 138 22.The Blueprint of Life ...................................... 140 23.Human Products and Social Phenomena ........................ 144 24.The Principle of Minimum Energy Consumption ................ 159 Part V: The Role of Randomness ................................ 161 25.Efficiency, Paradoxes and Beauty ........................... 163 In Closing... ................................................. 173 Notes and References .......................................... 175 Index ......................................................... 189