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Over the past two decades scientists, mathematicians, and engineers have come to understand that a large variety of systems exhibit complicated evolution with time. This complicated behavior is known as chaos. In the new edition of this classic textbook Edward Ott has added much new material and has significantly increased the number of homework problems. The most important change is the addition of a completely new chapter on control and synchronization of chaos. Other changes include new material on riddled basins of attraction, phase locking of globally coupled oscillators, fractal aspects of fluid advection by Lagrangian chaotic flows, magnetic dynamos, and strange nonchaotic attractors. This new edition will be of interest to advanced undergraduates and graduate students in science, engineering, and mathematics taking courses in chaotic dynamics, as well as to researchers in the subject.
For students with a background in elementary algebra, this book provides a vivid introduction to the key phenomena and ideas of chaos and fractals, including the butterfly effect, strange attractors, fractal dimensions, Julia Sets and the Mandelbrot Set, power laws, and cellular automata. The book includes over 200 end-of-chapter exercises.
Archibald and Feldman, leading observers of the scene, provide an incisive overview of the challenges facing and possibilities for America's universities and colleges in their training future generations.
College tuition has risen more rapidly than the overall inflation rate for much of the past century. To explain rising college cost, the authors place the higher education industry firmly within the larger economic history of the United States.
This primer offers readers an introduction to the central concepts that form our modern understanding of complex and emergent behavior, together with detailed coverage of accompanying mathematical methods. All calculations are presented step by step and are easy to follow. This new fourth edition has been fully reorganized and includes new chapters, figures and exercises. The core aspects of modern complex system sciences are presented in the first chapters, covering network theory, dynamical systems, bifurcation and catastrophe theory, chaos and adaptive processes, together with the principle of self-organization in reaction-diffusion systems and social animals. Modern information theoretic...
A supersurvivor is a person who has dramatically transformed his or her life after surviving a trauma, accomplishing amazing things or transforming the world for the better. When tragedy befalls, many people succumb to trauma and suffer many psychological setbacks such as posttraumatic stress disorder. Many are able to move past the trauma and return to normal life. Some, however, are able to bounce back stronger and tougher than before. This rare species is called the supersurvivor. The scope of suffering may vary, but most people face troubles small or big in their day-to-day lives. Supersurvivors offers astonishing stories of the indomitable human spirit which will put your own life and how you live it into perspective.
Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.
This new edition of the successful and authoritative textbook has been extensively updated. It discusses developments such as the growing importance of the ECHR, the increased commitment of the EC to human rights, and the election of a Labour government in the UK which is determined to increase respect for rights and civil liberties. A new section on equality and discrimination law has been added.
'Highly accessible, content-rich and eminently readable . . . Fascinating and informative . . . popular science at its best.' - The Observer 'Subtly radical . . . It presents a revelatory model of consciousness that will be completely new to most readers' - The Guardian 'Best Reads For Summer' Have you ever wondered why you have a brain? Let renowned neuroscientist Lisa Feldman Barrett, bestselling author of How Emotions Are Made, demystify that big grey blob between your ears . . . In seven short chapters (plus a brief history of how brains evolved), this slim, entertaining, and accessible book reveals mind-expanding lessons from the front lines of neuroscience research. You’ll learn wher...