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This book is about the importance of random phenomena occurring in nature. Cases are selected in which randomness is most important or crucial, such as Brownian motion, certain reactions in Physical Chemistry and Biology, and intermittency in magnetic field generation by turbulent fluid motion, etc. Due to ?almighty chance? the structures can originate from chaos even in linear problems. This idea is complementary as well as competes with a basic concept of synergetics where structures appear mainly due to the pan-linear nature of phenomena. This book takes a new look at the problem of structure formation in random media, qualitative physical representation of modern conceptions, intermittency, fractals, percolation and many examples from different fields of science.
Fourteen-year-old Justin Newman appears to be living a perfect life. Despite his mothers death, he and his father have somehow found their way to happiness again. But when his father receives a job transfer to the village of Forest Valley, everything changes. After the father and son settle into their new house, Justin decides to explore the forest one day. While he is enjoying the beauty of the woods, Justin notices a tree unlike any other. When he moves closer to the tree, he suddenly hears a voice coming from its branches. As a conversation begins between Justin and the magic tree, he learns mysterious facts about the universe and the evil surrounding the unknown planets of Zocord, Krogtin, and Wetrijon. But what Justin does not know is that his friendship with the tree is about to lead him on a charitable journey where he will learn the value of selflessness. In this novel for teens, a young man on a coming-of-age quest to find his true identity meets a magic tree who helps him not only discover his destiny but also the importance of looking outward to find joy.
This book differs from others on Chaos Theory in that it focuses on its applications for understanding complex phenomena. The emphasis is on the interpretation of the equations rather than on the details of the mathematical derivations. The presentation is interdisciplinary in its approach to real-life problems: it integrates nonlinear dynamics, nonequilibrium thermodynamics, information theory, and fractal geometry. An effort has been made to present the material ina reader-friendly manner, and examples are chosen from real life situations. Recent findings on the diagnostics and control of chaos are presented, and suggestions are made for setting up a simple laboratory. Included is a list of topics for further discussion that may serve not only for personal practice or homework, but also as themes for theses, dissertations, and research proposals. - Includes laboratory experiments Includes applications and case studies related to cell differentiation, EKGs, and immunology - Presents interdisciplinary applications of chaos theory to complex systems - Emphasizes the meaning of mathematical equations rather than their derivations - Features reader friendly presentation with many illustrations and interpretations - Deals with real life, dissipative systemsIntegrates mathematical theory throughout the text
This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Available for the first time in the English language, this is a complete and annotated translation of a key work by the twelfth-century Muslim philosopher, Averroes (Ibn Rushd). Acknowledged as the leading transmitter of Aristotelian th ought, Averroes also held controversial views about the re lationship between faith and reason, arguing that religion should not be allowed to impose limits on the exercise of rational thought. His theory of rationality, along with others on language, justice and the interpretation of religious texts, is clearly presented here, in a work that provides the most comprehensive picture available of Averroes's great intellectual achievements.