Introduction to Differential Geometry with applications to Navier-Stokes Dynamics is an invaluable manuscript for anyone who wants to understand and use exterior calculus and differential geometry, the modern approach to calculus and geometry. Author Troy Story makes use of over thirty years of research experience to provide a smooth transition from conventional calculus to exterior calculus and differential geometry, assuming only a knowledge of conventional calculus. Introduction to Differential Geometry with applications to Navier-Stokes Dynamics includes the topics: Geometry, Exterior calculus, Homology and co-homology, Applications of differential geometry and exterior calculus to: Hamiltonian mechanics, geometric optics, irreversible thermodynamics, black hole dynamics, electromagnetism, classical string fields, and Navier-Stokes dynamics.
Dynamics on Differential One-Forms proposes a unifying principle for mathematical models of dynamic systems. In "Thermodynamics on One-Forms (chapter I)", the long-standing problem of deriving irreversibility in thermodynamics from reversibility in Hamiltonian mechanics, is solved. Differential geometric analysis shows thermodynamics and Hamiltonian mechanics are both irreversible on representative extended phase spaces. "Dynamics on Differential One-Forms (II)" generalizes (I) to Hamiltonian mechanics, geometric optics, thermodynamics, black holes, electromagnetic fields and string fields. Mathematical models for these systems are revealed as representations of a unifying principle; namely, description of a dynamic system with a characteristic differential one-form on an odd-dimensional differentiable manifold leads, by analysis with exterior calculus, to a set of differential equations and a tangent vector defining system transformations. Relationships between models using exterior calculus and conventional calculus imply a technical definition of dynamic equilibrium. "Global Analysis of Composite Particles (III)" uses differential topology to develop the theory of large vibration-rotation interactions for composite particles. A global classical Hamiltonian and corresponding quantum Hamiltonian operator are derived, then applied to the molecular vibration-rotation problem. "Characteristic Electromagnetic and Yang-Mills Gauge (IV)" uses differential geometry to remove some of the arbitrariness in the gauge, and shows how gauge functions for electromagnetic and Yang-Mills fields follow the same differential equation.
It has long been a trope of Civil War history that Gettysburg was an accidental battlefield. General Lee, the old story goes, marched blindly into Pennsylvania while his chief cavalryman Jeb Stuart rode and raided incommunicado. Meanwhile, General Meade, in command only a few days, gave uncertain chase to an enemy whose exact positions he did not know. And so these ignorant armies clashed by first light at Gettysburg on July 1, 1863. In the spirit of his iconoclastic Lee’s Real Plan at Gettysburg, Troy D. Harman argues for a new interpretation: once Lee invaded Pennsylvania and the Union army pursued, a battle at Gettysburg was entirely predictable, perhaps inevitable. Most Civil War battles took place along major roads, railroads, and waterways; the armies needed to move men and equipment, and they needed water for men, horses, and artillery. And yet this perspective hasn’t been fully explored when it comes to Gettysburg. Look at an 1863 map, says Harman: look at the area framed in the north by the Susquehanna River and in the south by the Potomac, in the east by the Northern Central Railroad and in the west by the Cumberland Valley Railroad. This is where the armies played a high-stakes game of chess in late June 1863. Their movements were guided by strategies of caution and constrained by roads, railroads, mountains and mountain passes, rivers and creeks, all of which led the armies to Gettysburg. It’s true that Lee was disadvantaged by Stuart’s roaming and Meade by his newness to command, which led both to default to the old strategic and logistical bedrocks they learned at West Point—and these instincts helped reinforce the magnetic pull toward Gettysburg. Moreover, once the battle started, Harman argues, the blue and gray fought tactically for the two creeks—Marsh and Rock, essential for watering men and horses and sponging artillery—that mark the battlefield in the east and the west as well as for the roadways that led to Gettysburg from all points of the compass. This is a perspective often overlooked in many accounts of the battle, which focus on the high ground—the Round Tops, Cemetery Hill—as key tactical objectives. Gettysburg Ranger and historian Troy Harman draws on a lifetime of researching the Civil War and more than thirty years of studying the terrain of Gettysburg and south-central Pennsylvania and northern Maryland to reframe the story of the Battle of Gettysburg. In the process he shows there’s still much to say about one of history’s most written-about battles. This is revisionism of the best kind.
“The One Minute Hero” is the story of how I became torn between saving the life of Jason, whom I met only once, and guaranteeing my own life. I was able to discover the value of life through the eyes of a stranger. Amidst this difficult decision my eight-year-old daughter stepped in and inspired me to be stronger and more compassionate than I thought was possible. Through my efforts to save Jason I was able to battle tragedy in my own life. It would take everything within me to overcome the abyss of my own mind. The light that I saw in Jason and his family would finally guide me out of that abyss and righted my ship. Though it appeared that our paths crossed for me to save him, Jason ended up saving me. This is the story of how I fought through the struggles of life, as well as how I had to change my perspective through the process. In doing this, the way I viewed the world was forever changed. I invite you to traverse through all of these random paths with me, and see how I became “The One Minute Hero”. I believe these paths may not have been random at all, but how I was put on a collision course to share this story with you.
Shaolin Brew: Race, Comics, and the Evolution of the Superhero looks at how the comic book industry developed from a white perspective and how minority characters were and are viewed through a stereotypical white gaze. Further, the book explores how voices of color have launched a shift in the industry, taking nonwhite characters who were originally viewed through a white lens and situating them outside the framework of whiteness. The financial success of Blaxploitation and Kung Fu films in the early 1970s led to major comics publishers creating, for the first time, Black and Asian superhero characters who headlined their own comics. The introduction of Black and Asian main characters, who previously only served as guest stars or sidekicks, launched a new kind of engagement between comics companies and minority characters and readers. However, scripted as they were by white writers, these characters were mired in stereotypes. Author Troy D. Smith focuses on Asian, Black, and Latinx representation in the comic industry and how it has evolved over the years. Smith explores topics that include Orientalism, whitewashing, Black respectability politics, the model minority myth, and political controversies facing fandoms. In particular, Smith examines how fans take the superheroes they grew up with—such as Luke Cage, Black Lightning, and Shang Chi—and turn them into the characters they wished they had as children. Shaolin Brew delves into the efforts of fans of color who urged creators to make these characters more realistic. This refining process increased as more writers and artists of color broke into the industry, bringing their own perspectives to the characters. As many of these characters transitioned from page to screen, a new generation of writers, artists, and readers have cooperated to evolve one-dimensional stereotypes into multifaceted, dynamic heroes.
Discover the places in Indiana where tourists usually don't venture-- it's chock-full of oddball curiosities, ghostly places, local legends, crazy characters, cursed roads, and peculiar roadside attractions.
How did America become great? How did this country become the most successful, powerful, and prosperous nation in the history of the world? Was it because of the nation's unprecedented founding documents? Was it due to the scores of immigrants from all over the world who brought their dreams and talents to America's shores? Or did America become great, as some contend, through racism, theft, and genocide? Author Troy Tyson proposes a unique argument as to the origins of American greatness: that the country's unparalleled success is a result not of its founding documents, nor its celebrated openness to people of all backgrounds, nor of genocidal tyranny. Rather, The Yankee Way asserts that the nation's great power and success stem primarily from the traits of a comparatively small, peculiar ethnic group from New England known as the Yankees. These traits, which include morality, industriousness, respect for law and order, commitment to education, and dedication to traditional family values, were developed first by the early Puritans of New England, then passed down to their Yankee descendants, who finally embedded them into the cultural DNA of the United States. The Yankee Way explores, in fascinating detail, the history of the Yankees, and the process by which they created modern America and instilled within it their distinct cultural characteristics. Further, though, the book serves as a warning to Americans as to what the future might hold, as the nation rapidly moves away from this critical cultural inheritance, and leaves The Yankee Way behind.
An extraordinary look at how the style of Piet Mondrian’s abstract paintings was posthumously appropriated by 1960s fashion, Pop art, and consumer culture. Yves Saint Laurent’s 1965 Mondrian dresses are among the twentieth century’s most celebrated and recognizable fashions, but the context of their creation involves much more than meets the eye. In Mondrian’s Dress, Nancy J. Troy and Ann Marguerite Tartsinis offer a fresh approach to the coupling of Piet Mondrian’s interwar paintings with Saint Laurent’s couture designs by exposing the rampant merchandising and commodification that these works experienced in the 1960s. The authors situate the consolidation of Saint Laurent’s fashion brand alongside the work of such Pop artists as Roy Lichtenstein, Andy Warhol, and Tom Wesselmann, and show how conventional understandings of Mondrian’s avant-garde abstractions were transformed by the mass circulation of his signature style. Beyond its attention to 1960s fashion, Pop art, and consumer culture, Mondrian’s Dress offers critical assessments of Saint Laurent’s so-called dialogue with art, the remarkable art collection that he built with his partner Pierre Berge, and the crucial role that photography plays in the marketing of couture. The first book-length study of its kind, Mondrian’s Dress is a provocative reevaluation of how art, commerce, and fashion became fundamentally intertwined in the postwar period.
Advocates and demonstrates women's path to personal wholeness and self-healing through an eco-feminist, reader-response analysis of four fictional narratives.
Hauntings lurk and spirits linger in the Prairie State Reader, beware! Turn these pages and enter the world of the paranormal, where ghosts and ghouls alike creep just out of sight. Author Troy Taylor shines a light in the dark corners of Illinois and scares those spirits out of hiding in this thrilling collection. From a gallows tree in Greene County where an apparition can still be seen hanging, to the lingering spirits of warring mobsters at the site of the St. Valentine’s Day Massacre, these stories of strange occurrences will keep you glued to the edge of your seat. Around the campfire or tucked away on a dark and stormy night, this big book of ghost stories is a hauntingly good read.
Dying remains one of the last taboo subjects. Most people will talk about money, or even sex, before they will dying. I think this is true of most people, but it seems especially true of "Baby Boomers," the generation of which I am a member... This reluctance to discuss dying is one of the things I considered when deciding how to structure this book. In reality, my target audience should be anyone with whom God has not shared their departure date for leaving this world. But part of my experience in dealing with the reluctance of people my own age to discuss their own death is that they do have the reality of dealing with the approaching death of their own parents. Thus some of this material, Section Two, will be given from the viewpoint of helping someone prepare to die, while the primary section, Section One, will be addressed directly to those preparing for themselves.
The Eastern Shore of Maryland is a state of mind more than a place. Love Letters not only describes its physical beauty, rich history, and unique nature but also emphasizes its greatest asset--the people who live there.
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