Starting with numerical algorithms resulting in new kinds of amazing fractal patterns on the sphere, this book describes the theory underlying these phenomena and indicates possible future applications. The book also explores the following questions:

1. Introduction -- 2. What are quantum fractals? 2.1. Cantor set. 2.2. Iterated function systems. 2.3. Cantor set throughmatrix eigenvector. 2.4. Quantum iterated function systems. 2.5. Example: The "impossible" quantum fractal. 2.6. Action on the plane. 2.7 Lorentz group, SL(2,C), and relativistic aberration -- 3. Examples. 3.1. Hyperbolic quantum fractals. 3.2. Controlling chaotic behavior and fractal dimension. 3.3. Quantum fractals on n-spheres. 3.4. Algorithms for generating hyperbolic quantum fractals -- 4. Foundational questions. 4.1. Stochastic nature of quantum measurement processes. 4.2. Are there quantum jumps? 4.3. Bohmian mechanics. 4.4. Event enhanced quantum theory. 4.5. Ghirardi-Rimini-Weber spontaneous localization. 4.6. Heisenberg's uncertainty principle and quantum fractals. 4.7. Are quantum fractals real?

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

The only book to successfully integrate social, economic and environmental considerations with an accessible, quantitative approach to energy science.Energy Science introduces the latest energy technologies, explaining the physical principles underlying technology and discussing their environmental, economic, and social impacts. With a focus on the transition from fossil fuels to low-carbon sources of energy, the text enables students to evaluatethe key sources of energy available, and introduces potential solutions to the energy problems facing us today.A core text in the field, Energy Science is full of topical case studies and examples using current data to highlight the practical application of relevant theory. Discussion questions throughout the text encourage the development of deep critical thinking skills, ensuring that students are properlyequipped to approach the energy challenges that lie ahead.Digital formats and resources.The book is available for students and institutions to purchase in a variety of formats, and is supported by online resources:DT The e-book offers a mobile experience and convenient access along with functionality tools, naviigation features, and links that offer extra learning support: www.oxfordtextbooks.co.uk/ebooksDT Online resources include multiple choice questions and further reading links for students to enhance their understanding, and, for registered adopters, a solutions manual, PowerPoint slides, figures and tables from the book.

Mythic Imagination Today is an illustrated guide to the interpenetration of mythology and science throughout the ages. This monograph brings alive our collective need for story as a guide to the rules, roles, and relationships of everyday life.

For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

This book constitutes the proceedings of the 6th International Symposium on Chaos, Complexity and Leadership (ICCLS). Written by interdisciplinary researchers and students from the fields of mathematics, physics, education, economics, political science, statistics, the management sciences and social sciences, the peer-reviewed contributions explore chaotic and complex systems, as well as chaos and complexity theory in the context of their applicability to management and leadership. The book discusses current topics, such as complexity leadership in the healthcare fields and tourism industry, conflict management and organization intelligence, and presents practical applications of theoretical concepts, making it a valuable resource for managers and leaders.

Perhaps the most distinct question in science throughout the ages has been the one of perceivable reality, treated both in physics and philosophy. Reality is acting upon us, and we, and life in general, are acting upon reality. Potentiality, found both in quantum reality and in the activity of life, plays a key role. In quantum reality observation turns potentiality into reality. Again, life computes possibilities in various ways based on past actions, and acts on the basis of these computations. This book is about a new approach to biology (and physics, of course!). Its subtitle suggests a perpetual movement and interplay between two elusive aspects of modern science — reality/matter and potentiality/mind, between physics and biology — both captured and triggered by mathematics — to understand and explain emergence, development and life all the way up to consciousness. But what is the real/potential difference between living and non-living matter? How does time in potentiality differ from time in reality? What we need to understand these differences is an integrative approach. This book contemplates how to encircle life to obtain a formal system, equivalent to the ones in physics. Integral Biomathics attempts to explore the interplay between reality and potentiality.