Download or read book The Mathematics Of Natural Catastrophes written by Gordon Woo and published by World Scientific. This book was released on 1999-10-15 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique book about natural catastrophes, focusing on the mathematical aspects of these phenomena. Although academic in style and didactic in purpose, it is practical in the treatment of the diverse issues covered, which range from hazard warning and forecasting to engineering design criteria and insurance loss estimation. Addressing as it does many mathematical topics not found together in a single volume, the book should be of value to all those with a quantitative educational interest in or professional concern for natural catastrophes.
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculating Catastrophe written by G. Woo and published by World Scientific. This book was released on 2011 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Natural hazards. 1.1. Causation and association. 1.2. Extra-terrestrial hazards. 1.3. Meteorological hazards. 1.4. Geological hazards. 1.5. Geomorphic hazards. 1.6. Hydrological hazards -- 2. Societal hazards. 2.1. Political violence. 2.2. Infectious disease pandemics. 2.3. Industrial and transportation accidents. 2.4. Fraud catastrophe -- 3. A sense of scale. 3.1. Size scales of natural hazards. 3.2. Hazard spatial scales. 3.3. The human disaster toll. 3.4. Models of a fractal world -- 4. A measure of uncertainty. 4.1. The concept of probability. 4.2. The meaning of uncertainty. 4.3. Aleatory and epistemic uncertainty. 4.4. Probability ambiguity. 4.5. The weighing of evidence -- 5. A matter of time. 5.1. Temporal models of hazards. 5.2. Long-term data records. 5.3. Statistics of extremes -- 6. Catastrophe complexity. 6.1. Emergent catastrophes. 6.2. Financial crashes. 6.3. Ancillary hazards -- 7. Terrorism. 7.1. A thinking man's game. 7.2. Defeating terrorist networks. 7.3. Counter-radicalization -- 8. Forecasting. 8.1. Earthquake forecasting. 8.2. Verification. 8.3. River flows and sea waves. 8.4. Accelerating approach to criticality. 8.5. Evidence-based diagnosis -- 9. Disaster warning. 9.1. Decision in the balance. 9.2. Evacuation. 9.3. The wisdom of experts -- 10. Disaster scenarios. 10.1. Scenario simulation. 10.2. Footprints and vulnerability. 10.3. Fermi problems -- 11. Catastrophe cover. 11.1. Probable maximum loss. 11.2. Coherent risk measures. 11.3. The Samaritan's dilemma -- 12. Catastrophe risk securitization. 12.1. Catastrophe bonds. 12.2. The price of innovation -- 13. Risk horizons. 13.1. Ecological catastrophe. 13.2. Climate change. 13.3. War and conflict resolution
Download or read book Catastrophe Theory and Its Applications written by Tim Poston and published by Courier Corporation. This book was released on 2014-05-05 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: First integrated treatment of main ideas behind René Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicalities. Over 200 illustrations clarify text designed for researchers and postgraduate students in engineering, mathematics, physics and biology. 1978 edition. Bibliography.
Download or read book Catastrophe Theory for Scientists and Engineers written by Robert Gilmore and published by Courier Corporation. This book was released on 1993-01-01 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Catastrophe Theory written by Peter Timothy Saunders and published by Cambridge University Press. This book was released on 1980-06-30 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Differentiable Germs and Catastrophes written by Theodor Bröcker and published by Cambridge University Press. This book was released on 1975-07-17 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.
Download or read book The Seduction of Curves written by Allan McRobie and published by Princeton University Press. This book was released on 2017-09-19 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Download or read book Catastrophe Theory written by Domencio Castrigiano and published by CRC Press. This book was released on 2019-06-03 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Parables Parabolas and Catastrophes written by René Thom and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singularity Theory and an Introduction to Catastrophe Theory written by Y.-C. Lu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In April, 1975, I organised a conference at the Battelle Research Center, Seattle, Washington on the theme "Structural stability, catastrophe theory and their applications in the sciences". To this conference were invited a number of mathematicians concerned with the mathematical theories of structural stability and catastrophe theory, and other mathematicians whose principal interest lay in applications to various sciences - physical, biological, medical and social. Rene Thorn and Christopher Zeeman figured in the list of distinguished participants. The conference aroused considerable interest, and many mathematicians who were not specialists in the fields covered by the conference expressed their desire to attend the conference sessions; in addition, scientists from the Battelle laboratories came to Seattle to learn of developments in these areas and to consider possible applications to their own work. In view of the attendance of these mathematicians and scientists, and in order to enable the expositions of the experts to be intelligible to this wider audience, I invited Professor Yung Chen Lu, of Ohio State University, to come to Battelle Seattle in advance of the actual conference to deliver a series of informal lecture-seminars, explaining the background of the mathematical theory and indicating some of the actual and possible applications. In the event, Yung-Chen Lu delivered his lectures in the week preceding and the week following the actual conference, so that the first half of his course was preparatory and the second half explanatory and evaluative. These lecture notes constitute an expanded version of the course.
Download or read book The Mathematics of Time written by Steve Smale and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Singularities Bifurcations and Catastrophes written by James Montaldi and published by Cambridge University Press. This book was released on 2021-06-24 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author's own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are provided.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1708 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2007 with total page 1588 pages. Available in PDF, EPUB and Kindle. Book excerpt:
