This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar bara, August-December 1991, on the subject "Topological Fluid Dynamics." The first group of papers cover the lectures on Knot Theory, Relaxation un der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of "Topological Fluid Dynamics" was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified."

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations. Employs Hamiltonian systems as the link between classical and nonlinear dynamics, emphasizing the concept of integrability. Also discusses nonintegrable dynamics, the fundamental KAM theorem, integrable partial differential equations, and soliton dynamics.

This volume contains papers arising out of the program of the Institute for Theoretical Physics (ITP) of the University of California at Santa Bar bara, August-December 1991, on the subject "Topological Fluid Dynamics." The first group of papers cover the lectures on Knot Theory, Relaxation un der Topological Constraints, Kinematics of Stretching, and Fast Dynamo Theory presented at the initial Pedagogical Workshop of the program. The remaining papers were presented at the subsequent NATO Advanced Re search Workshop or were written during the course of the program. We wish to acknowledge the support of the NATO Science Committee in making this workshop possible. The scope of "Topological Fluid Dynamics" was defined by an earlier Symposium of the International Union of Theoretical and Applied Mechan ics (IUTAM) held in Cambridge, England in August, 1989, the Proceedings of which were published (Eds. H.K. Moffatt and A. Tsinober) by Cambridge University Press in 1990. The proposal to hold an ITP program on this sub ject emerged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu lated. Topological fluid dynamics covers a range of problems, particularly those involving vortex tubes and/or magnetic flux tubes in nearly ideal fluids, for which topological structures can be identified and to some extent quantified."

In 1967, seven young men, members of a twelve-man expedition led by twenty-four-year-old Joe Wilcox, were stranded at 20,000 feet on Alaska's Mount McKinley in a vicious Arctic storm. Ten days passed while the storm raged, yet no rescue was mounted. All seven perished in what remains the most tragic expedition in American climbing history. Revisiting the event in the tradition of Norman Maclean's Young Men and Fire, James M. Tabor uncovers elements of controversy, finger-pointing, and cover-up that make this disaster unlike any other.

The deepest cave on earth was a prize that had remained unclaimed for centuries, long after every other ultimate discovery had been made. This is the story of the men and women who risked everything to find it, earning their place in history beside the likes of Peary, Amundsen, Hillary, and Armstrong. In 2004, two great scientist-explorers attempted to find the bottom of the world. Bold, American Bill Stone was committed to the vast Cheve Cave, located in southern Mexico and deadly even by supercave standards. On the other side of the globe, legendary Ukrainian explorer Alexander Klimchouk - Stone's opposite in temperament and style - had targeted Krubera, a freezing nightmare of a supercave in the Republic of Georgia. Blind Descent explores both the brightest and darkest aspects of the timeless human urge to discover - to be first. It is also a thrilling epic about a pursuit that makes even extreme mountaineering and ocean exploration pale by comparison. These supercavers spent months in multiple camps almost two vertical miles deep and many more miles from their caves' exits. They had to contend with thousand-foot drops, deadly flooded tunnels, raging whitewater rivers, monstrous waterfalls, mile-long belly crawls, and much more. Perhaps even worse were the psychological horrors produced by weeks plunged into absolute, perpetual darkness, beyond all hope of rescue, including a particularly insidious derangement called 'The Rapture'. Blind Descent is a testament to human survival and endurance - and to two extraordinary men whose relentless pursuit of greatness led them to heights of triumph and depths of tragedy neither could have imagined.

In 2004, two great scientist-explorers attempted to find the bottom of the world. American Bill Stone took on the vast, deadly Cheve Cave in southern Mexico. Ukrainian Alexander Klimchouk targeted Krubera, a freezing nightmare of a supercave in the war-torn former Soviet republic of Georgia. Both men spent months almost two vertical miles deep, contending with thousand-foot drops, raging whitewater rivers, monstrous waterfalls, mile-long belly crawls, and the psychological horrors produced by weeks in absolute darkness, beyond all hope of rescue. Based on his unprecedented access to logs and journals as well as hours of personal interviews, James Tabor has crafted a thrilling exploration of man's timeless urge to discover--and of two extraordinary men whose pursuit of greatness led them to the heights of triumph and the depths of tragedy. Blind Descent is an unforgettable addition to the classic literature of true-life adventure, and a testament to human survival and endurance.
Includes a 16-pg black and white insert