During the last century, global analysis was one of the main sources of interaction between geometry and topology. One might argue that the core of this subject is Morse theory, according to which the critical points of a generic smooth proper function on a manifold determine the homology of the manifold. Morse envisioned applying this idea to the calculus of variations, including the theory of periodic motion in classical mechanics, by approximating the space of loops on by a finite-dimensional manifold of high dimension. Palais and Smale reformulated Morse's calculus of variations in terms of infinite-dimensional manifolds, and these infinite-dimensional manifolds were found useful for studying a wide variety of nonlinear PDEs. This book applies infinite-dimensional manifold theory to the Morse theory of closed geodesics in a Riemannian manifold. It then describes the problems encountered when extending this theory to maps from surfaces instead of curves. It treats critical point theory for closed parametrized minimal surfaces in a compact Riemannian manifold, establishing Morse inequalities for perturbed versions of the energy function on the mapping space. It studies the bubbling which occurs when the perturbation is turned off, together with applications to the existence of closed minimal surfaces. The Morse-Sard theorem is used to develop transversality theory for both closed geodesics and closed minimal surfaces. This book is based on lecture notes for graduate courses on “Topics in Differential Geometry”, taught by the author over several years. The reader is assumed to have taken basic graduate courses in differential geometry and algebraic topology.
The legendary FBI criminal profiler and inspiration for the hit Netflix show Mindhunter offers a personal look into the workings of the justice system. “At the top of his form.” —James Patterson For the first time since his retirement, the #1 New York Times–bestselling author of The Killer Across the Table and The Killer’s Shadow teams up with award-winning author Mark Olshaker to delve into his most notorious and baffling cases, showing what it’s like to confront evil in its most monstrous form. No one is better acquainted with the subject of humanity’s most notorious crimes and the wrenching challenges of bringing those criminals to justice than John Douglas, the model for Agent Jack Crawford in The Silence of the Lambs.In this provocative and deeply personal book, the most prominent criminal investigator of our time recounts his twenty-five-year FBI career tracking down master criminals, writing true crime bestsellers, and developing forensic science and the art of criminal profiling. In his earlier works, Douglas wrote only about the guilty; in Law & Disorder, he writes about the guilty, innocents accused, and even innocents convicted as he addresses every law enforcement professional’s worst nightmare: those cases where, for one reason or another, justice was delayed . . . or even denied. A deep glimpse into the mind of a man who has explored the heart of human darkness, he looks tounlock for his readers the ultimate mystery of depravity and the techniques and approaches that have countered evil in the name of justice throughout his career. “An essential title for those interested in true crime stories, forensic science, or law enforcement.” —Library Journal (starred review)
In her pulchritudinous prime Baby Doe was called the Silver Queen of Colorado by journalists and "that shameless hussy" by the proper wives of the men who eyed her. Flirtatious, adventurous, ambitious, Elizabeth McCourt Doe gave everyone a lot to talk about when she met Horace Tabor, the Silver King of Leadville, in 1880. Three years later they were free to legalize their passion. Although thirty years separated them, they were well matched in romantic recklessness. If The Legend of Baby Doe is the lowdown on the high jinks of two public lives, it is also the story of a love that survived spectacularly good times and bad. Before bad times came, Baby and Horace went on a spending spree. They built an opulent opera house in Denver and bought an Italian-ate villa. Baby Doe went out bejeweled and ermined, and sat at home alone, snubbed by the social dragons. John Burke has written about the giddy rise of a bonanza king who dreamed of entering the White House with Baby Doe on his arm and about the disastrous fall they took together. Wiped out by unwise investments and the Panic of 1893, Tabor soon died, leaving Baby Doe and their two daughters penniless. Reportedly, his deathbed order was to "hang on to the Matchless," a played-out mine filled with water. She managed to do that for almost four decades, struggling heroically against loneliness, poverty, and heartbreak, and becoming one of the great legends of the American West.
The Washington Times columnist shares a revealing insider’s view of Washington, DC: “Whether you are a Democrat of a Republican, you will love this book.” —Sam Donaldson, ABC News John McCaslin’s “Inside the Beltway” column has been a favorite of Washington Times readers for years. Now, with his special brand of humor and warmth, the veteran journalist recounts his remarkable journey from Whitefish, Montana (where he reported on grizzly attacks), to the White House (where he covers an even more ferocious beast . . . politicians) and sharing the funniest, saddest, and most offbeat stories along the way. Inside the Beltway is essential reading for political junkies of all stripes—and anyone who’s curious about what really happens in Washington.
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