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This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)
A collection of folktales from around the world, selected for their "tellability."
ALL-TIME BESTSELLER: The first “wonderfully fresh and exotic mystery” starring septuagenarian coroner Dr. Siri, who finds himself caught in the political intrigues and mystical underpinnings of 1970s Laos (New York Times Book Review). Laos, 1978: Dr. Siri Paiboun, a 72-year-old medical doctor, has unwillingly been appointed the national coroner of the new socialist Laos. His lab is underfunded, his boss is incompetent, and his support staff is quirky, to say the least. But Siri’s sense of humor gets him through his often-frustrating days. When the body of the wife of a prominent politician comes through his morgue, Siri has reason to suspect the woman has been murdered. To get to the truth, Siri and his team face government secrets, spying neighbors, victim hauntings, Hmong shamans, botched romances, and other deadly dangers. Somehow, Siri must figure out a way to balance the will of the party and the will of the dead.
An ominous dark cloud looms over America. America's decline has finally reached a breaking-point. Few options remain to correct decades of national failure. A world-unified government is one option. A secret committee still has hope for a return to what America was before secular humanism was the prevalent religion and progressivism controlled the government.
Explains how aging populations in the developed world are threatening the American way of life, offering advice on how to positively and profitably respond to key changes in labor, production, and labor-management relations.
During his life, the author has subscribed to and lived the adage “what can be conceived and believed can be achieved.” This book outlines the writer’s life, his achievements, his failures and his adventures. Have you ever thought of wanting to or wondering what would be required to: 1. Become an officer in the U. S. Army and survive a war 2. Form, own and build a multimillion-dollar stock brokerage firm, with a salary, once prosperous, of $100,000 per month, then lose it all 3. At the age of forty-six, run two marathons, ride a bicycle coast to coast in thirty days, climb the Grand Teton and Devils Tower, run rim to rim of the Grand Canyon, swim Alcatraz to San Francisco then complete the Ironman Triathlon in Kona, Hawaii, doing it all in eight months 4. Be a partner in an investment banking firm 5. Climb high mountains on three continents 6. Live in a village in Italy of fewer than one hundred people, where no one speaks a word of English, for two to three months a year 7. Live for months in a home on a beach in Mexico Live vicariously through the narrative or use the descriptive tales as a primer to do it yourself. Henry David Thoreau is credited with the quote, “Most men lead lives of quiet desperation and die with their song still inside them.” Quite the opposite, the author’s philosophy of life is “just do it.”
WINNER OF THE MAINE LITERARY AWARD FOR NON FICTION NATIONAL BESTSELLER A NEW YORK TIMES NOTABLE BOOK AN NPR BEST BOOK OF THE YEAR ONE OF JANET MASLIN’S MUST-READ BOOKS OF THE SUMMER A NEW YORK TIMES EDITOR'S CHOICE ONE OF OUTSIDE MAGAZINE’S BEST BOOKS OF THE SUMMER ONE OF AMAZON'S BEST NONFICTION BOOKS OF THE YEAR SO FAR “A powerful and affecting story, beautifully handled by Slade, a journalist who clearly knows ships and the sea.”—Douglas Preston, New York Times Book Review “A Perfect Storm for a new generation.” —Ben Mezrich, bestselling author of The Accidental Billionaires: The Founding of Facebook On October 1, 2015, Hurricane Joaquin barreled into the Bermuda Triangle and swallowed the container ship El Faro whole, resulting in the worst American shipping disaster in thirty-five years. No one could fathom how a vessel equipped with satellite communications, a sophisticated navigation system, and cutting-edge weather forecasting could suddenly vanish—until now. Relying on hundreds of exclusive interviews with family members and maritime experts, as well as the words of the crew members themselves—whose conversations were captured by the ship’s data recorder—journalist Rachel Slade unravels the mystery of the sinking of El Faro. As she recounts the final twenty-four hours onboard, Slade vividly depicts the officers’ anguish and fear as they struggled to carry out Captain Michael Davidson’s increasingly bizarre commands, which, they knew, would steer them straight into the eye of the storm. Taking a hard look at America's aging merchant marine fleet, Slade also reveals the truth about modern shipping—a cut-throat industry plagued by razor-thin profits and ever more violent hurricanes fueled by global warming. A richly reported account of a singular tragedy, Into the Raging Sea takes us into the heart of an age-old American industry, casting new light on the hardworking men and women who paid the ultimate price in the name of profit.
Jenny is a lonely university lecturer who's consciousness has traveled back in time to her younger body to try to save the future of the world. A young microbiologist is going to release a genetically modified wheat that will mutate and ultimately destroy all plant life, leaving nothing but barren windswept dust bowls. In the past, Jenny finds a love that has been missing from her life; the kind that comes just once in a lifetime. But Jenny can only stay in that time period for thirty-three days. Meanwhile, in the future, fearful Jenny will fail, plans are made to send another back in time--an assassin. How can she choose between saving the man she loves or saving the future?
“That was it. That was the moment I knew I wanted to be a cop.” When Rob Rothwell is a naïve, directionless eighteen-year-old, he gets invited on a ride-along with a young cop...and the wild night that ensues sends him hurtling into a thirty-three-year career in policing. And in this unabashedly unfiltered account of his years in Vancouver PD, Rob takes readers on their own thrilling ride-along. With tough-guy wit and unexpected well-springs of deep compassion, Memoir of a Cop shows the best and worst of humanity from the perspective of a cop daily putting his life on the line in the streets of a great city. From the wild action of a car chase; to dogged evidence-gathering; to the dangers and intricacies of an undercover drug operation, to confrontations with sudden, unspeakable horror, Rob’s wry, humanist perspective brings us inside the life of a cop. His story will appeal to the legions of police procedural fans out there as well as those considering a life in law enforcement. And for those who simply love memoir as a way of vicariously living fascinating lives—it will not disappoint.