Catastrophe Theory For Scientific And Engineers

This advanced-level treatment describes the mathematics of catastrophe theory and its applications to problems in mathematics, physics, chemistry and engineering. 28 tables. 397 black-and-white illustrations. 1981 edition.

It’s never been more important to engage a child's scientific curiosity, and Sean Connolly knows just how to do it—with lively, hands-on, seemingly "dangerous" experiments that pop, ooze, crash, and teach! Now, the author of The Book of Totally Irresponsible Science, takes it one step further: He leads kids through the history of science, and then creates amazing yet simple experiments that demonstrate key scientific principles. Tame fire just like a Neanderthal with the Fahrenheit 451 experiment. Round up all your friends and track the spread of "disease" using body glitter with an experiment inspired by Edward Jenner, the vaccination pioneer who's credited with saving more lives than any other person in history. Rediscover the wheel and axle with the ancient Sumerians, and perform an astounding experiment demonstrating the theory of angular momentum. Build a simple telescope—just like Galileo's—and find the four moons he discovered orbiting Jupiter (an act that helped land him in prison). Take a less potentially catastrophic approach to electricity than Ben Franklin did with the Lightning Mouth experiment. Re-create the Hadron Collider in a microwave with marshmallows, calculator, and a ruler—it won't jeopardize Earth with a simulated Big Bang, but will demonstrate the speed of light. And it's tasty! By letting kids stand on the shoulders of Aristotle, Newton, Einstein, the Wright brothers, Marie Curie, Darwin, Watson and Crick, and more, The Book of Potentially Catastrophic Science is an uncommonly engaging guide to science, and the great stories of the men and women behind the science.

An introduction to catastrophe theory, a mathematical theory which deals with those changes which occur abruptly rather than smoothly. Includes many applications to illustrate the different ways in which catastrophe can be used in life, physical and social sciences.

In this large-format book, lavishly illustrated in color throughout, Allan McRobie takes the reader on an alluring exploration of the beautiful curves that shape our world--from our bodies to Salvador Dalí's paintings and the space-time fabric of the universe itself. The book focuses on seven curves--the fold, cusp, swallowtail, and butterfly, plus the hyperbolic, elliptical, and parabolic "umbilics"--and describes the surprising origins of their taxonomy in the catastrophe theory of mathematician René Thom.

A thorough explanation of the mathematical theories, philosophies, and economics of catastrophes with a view to how humanity should be prepared for events with catastrophic consequences This book presents a holistic view of natural and man-made catastrophes, from mathematical theories and philosophy through to economics and policy. It is both academic and applied in its approach, offering both empirical evidence and academic reflections to give a new perspective on an ever-developing topic, and providing many examples of public policy and catastrophe responses from around the world. Natural and Man-made Catastrophes: Theories, Economics, and Policy Designs begins by introducing readers to numerous natural and man-made catastrophes and how catastrophe theories have played a pivotal role in designing policies and responses to them. It discusses hurricanes, earthquakes, nuclear disaster, asteroid collision, Large Hadron Collider, artificial intelligence, uncontrollable robots, global warming, infectious diseases without antibodies, and bioterrorism. It clarifies key mathematical and scientific theories—such as catastrophe theory, chaos, singularity, fractal, tipping point, unbounded variance, fat-tail, and Feigenbaum constant—on catastrophes. The book goes on to examine ancient and contemporary philosophies that have played critical roles in humanity’s understanding of catastrophic outcomes. The book critically builds the economics of catastrophic events 1) by consolidating the catastrophe literature in natural sciences, scientific theories, and philosophy; 2) by constructing global empirical catastrophe data and analytical models using historical data on hurricanes and earthquakes; 3) and by critically reviewing policy experiences on the aforementioned catastrophic events. Lays the foundation for the economic analyses and policy-making on potential humanity/universe threatening catastrophes Includes many examples of public policy and behavioral responses to catastrophes from around the world Provides a wide-ranging commentary on crucial implications of the studies, models, and concepts of catastrophes Synthesizes the catastrophe literature in mathematical theories, philosophical traditions, economic analyses, policy studies, and contemporary concerns. Natural and Man-made Catastrophes: Theories, Economics, and Policy Designs is an important book for students, teachers, professionals, and policy makers who are involved in environmental research and disaster response.

The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.

This proceedings book is divided in 2 Volumes and 8 Parts. Part I is dedicated to Decision Support System, which is about the information system that supports business or organizational decision-making activities; Part II is on Computing Methodology, which is always used to provide the most effective algorithm for numerical solutions of various modeling problems; Part III presents Information Technology, which is the application of computers to store, study, retrieve, transmit and manipulate data, or information in the context of a business or other enterprise; Part IV is dedicated to Data Analysis, which is a process of inspecting, cleansing, transforming, and modeling data with the goal of discovering useful information, suggesting conclusions, and supporting decision-making; Part V presents papers on Operational Management, which is about the plan, organization, implementation and control of the operation process; Part VI is on Project Management, which is about the initiating, planning, executing, controlling, and closing the work of a team to achieve specific goals and meet specific success criteria at the specified time in the field of engineering; Part VII presents Green Supply Chain, which is about the management of the flow of goods and services based on the concept of “low-carbon”; Part VIII is focused on Industry Strategy Management, which refers to the decision-making and management art of an industry or organization in a long-term and long-term development direction, objectives, tasks and policies, as well as resource allocation.