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An Imaginary Tale

by Paul J. Nahin

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.Some images inside the book are unavailable due to digital copyright restrictions.

An Imaginary Tale: The Story of √-1

by Paul J. Nahin

Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.Some images inside the book are unavailable due to digital copyright restrictions.

An Immigrant Community of the 1900s

by Gare Thompson

During the 1880s, immigrants, people from all over the world, began to come to the United States.

An Immigration History of Britain: Multicultural Racism since 1800

by Panikos Panayi

Immigration, ethnicity, multiculturalism and racism have become part of daily discourse in Britain in recent decades – yet, far from being new, these phenomena have characterised British life since the 19th century. While the numbers of immigrants increased after the Second World War, groups such as the Irish, Germans and East European Jews have been arriving, settling and impacting on British society from the Victorian period onwards. In this comprehensive and fascinating account, Panikos Panayi examines immigration as an ongoing process in which ethnic communities evolve as individuals choose whether to retain their ethnic identities and customs or to integrate and assimilate into wider British norms. Consequently, he tackles the contradictions in the history of immigration over the past two centuries: migration versus government control; migrant poverty versus social mobility; ethnic identity versus increasing Anglicisation; and, above all, racism versus multiculturalism. Providing an important historical context to contemporary debates, and taking into account the complexity and variety of individual experiences over time, this book demonstrates that no simple approach or theory can summarise the migrant experience in Britain.

An Immortal Descent

by Kari Edgren

Selah Kilbrid, descendant of the Celtic goddess Brigid, has been ordered to remain in London and leave any dangers in Ireland to her goddess-born family. They fear she's no match for Death's most powerful daughter and--if the legend holds true--the witch who once nearly destroyed the Irish people. But Selah has never been good at following orders, and nothing will stop her from setting out to find the two people she loves most--her dearest friend, Nora Goodwin, and her betrothed, Lord Henry Fitzalan.Hiding from kin, traveling uneasily beside companions with secrets of their own, Selah is forced on an unexpected path by those who would steal her gift of healing. With precious time ticking away, she turns to a mortal enemy for help, heedless of the cost.Selah would pass through hell to rescue Nora and Henry, but what if it means unleashing a greater evil on the human world? Her only chance is to claim the fullest extent of her birthright--at the risk of being forever separated from the man she longs to marry.Book three of Goddess Born121,340 words

An Imperfect God: George Washington, His Slaves, and the Creation of America

by Henry Wiencek

When George Washington wrote his will, he made the startling decision to set his slaves free; earlier he had said that holding slaves was his "only unavoidable subject of regret."

An Imperfect God: George Washington, His Slaves, and the Creation of America

by Henry Wiencek

An Imperfect God is a major new biography of Washington, and the first to explore his engagement with American slaveryWhen George Washington wrote his will, he made the startling decision to set his slaves free; earlier he had said that holding slaves was his "only unavoidable subject of regret." In this groundbreaking work, Henry Wiencek explores the founding father's engagement with slavery at every stage of his life--as a Virginia planter, soldier, politician, president and statesman. Washington was born and raised among blacks and mixed-race people; he and his wife had blood ties to the slave community. Yet as a young man he bought and sold slaves without scruple, even raffled off children to collect debts (an incident ignored by earlier biographers). Then, on the Revolutionary battlefields where he commanded both black and white troops, Washington's attitudes began to change. He and the other framers enshrined slavery in the Constitution, but, Wiencek shows, even before he became president Washington had begun to see the system's evil. Wiencek's revelatory narrative, based on a meticulous examination of private papers, court records, and the voluminous Washington archives, documents for the first time the moral transformation culminating in Washington's determination to emancipate his slaves. He acted too late to keep the new republic from perpetuating slavery, but his repentance was genuine. And it was perhaps related to the possibility--as the oral history of Mount Vernon's slave descendants has long asserted--that a slave named West Ford was the son of George and a woman named Venus; Wiencek has new evidence that this could indeed have been true.George Washington's heroic stature as Father of Our Country is not diminished in this superb, nuanced portrait: now we see Washington in full as a man of his time and ahead of his time.

An Imperfect Occupation: Enduring the South African War

by John Boje

The South African War (1899-1902), also called the Boer War and Anglo-Boer War, began as a conventional conflict. It escalated into a savage irregular war fought between the two Boer republics and a British imperial force that adopted a scorched-earth policy and used concentration camps to break the will of Afrikaner patriots and Boer guerrillas. In An Imperfect Occupation , John Boje delves into the agonizing choices faced by Winburg district residents during the British occupation. Afrikaner men fought or evaded combat or collaborated; Afrikaner women fled over the veld or submitted to life in the camps; and black Africans weighed the life or death consequences of taking sides. Boje's sensitive analysis showcases the motives, actions, and reactions of Boers and Africans alike as initial British accommodation gave way to ruthlessness. Challenging notions of Boer unity and homogeneity, Boje illustrates the precarious tightrope of resistance, neutrality, and collaboration walked by people on all sides. He also reveals how the repercussions of the war's transformative effect on Afrikaner identity plays out in today's South Africa. Readable and compassionate, An Imperfect Occupation provides a dramatic account of the often overlooked aspects of one of the first "modern" wars.

An Imperfect Proposal

by Hayley Ann Solomon

With two young nieces now in his charge, the Earl of Devonport is quite suddenly in need of a wife—and kind, gentle Amaryllis Hastings fits the bill nicely. His marriage will be nothing more than a convenience, after all—but his "retiring" bride surprises him at every turn, especially when he discovers that she has stolen his heart!Previously published in A Wife for Papa.

An Imperfect Union: The Maastricht Treaty And The New Politics Of European Integration

by Michael J Baun

Exploring the politics of European integration, Michael Baun argues that the end of the Cold War and German unification have created a new set of geopolitical realities in Europe that have profoundly affected the nature and dynamics of European union. His primary focus is the high politics" of European integration after 1989, especially the role of the Franco-German relationship in the Maastricht Treaty process.Acknowledging the important roots of the treaty in economic and institutional developments prior to 1989, Baun argues that Maastricht principally can be understood as a response by the EU and its member states to German unification and the end of the cold war. In making this argument, he departs from more conventional neofunctionalist or institutionalist interpretations of European integration.After providing the historical background of developments before 1989, Baun weighs the decision to launch parallel intergovernmental conferences on monetary and political union in 1990 and describes in detail the negotiations and treaty outcomes in each of these areas. He then examines the difficult ratification of the Maastricht treaty in 1992-1993, in the face of growing popular opposition and economic and monetary instability. The book concludes with an analysis of the future prospects for European union in the post-Maastricht era, as the EU approaches its next major intergovernmental conference in 1996.

An Imperfection in the Kitchen Floor: A Novel

by Heather Greenleaf

Two women who, living one hundred years apart, face similar sacrifices to make the life they deserve in this perfectly moving debut novel. With the unexpected news of her pregnancy, Molly&’s suddenly responsible husband Corey persuades her to leave her job as a sous chef in a bustling Washington, DC, restaurant and move to an old-fashioned, run-down house in small-town Pennsylvania. Stuck with a colicky newborn and a husband who loves the creaky steps, old décor, and even the broken tiles in the kitchen, Molly finds herself trapped in a life that only Corey wants—but is too busy working to enjoy. A century earlier, the same house was home to adventurous Tish, the middle daughter of the Hess family, who yearns to leave the family delicatessen behind to travel west and paint sweeping mountain landscapes. When Tish meets Ellis, a wanderer from California, their romance carries them through World War I, but cannot survive his return to civilian life and a train crash that claims the life of many aboard. Tied by tragedy to the delicatessen, Tish must forfeit everything for her family. After so much sacrifice, how can two women living a hundred years apart find happiness in the present, while living a life they would never choose for themselves?

An Imperial Concubine's Tale

by G. G. Rowley

Japan in the early seventeenth century was a wild place. Serial killers stalked the streets of Kyoto at night, while noblemen and women mingled freely at the imperial palace, drinking saké and watching kabuki dancing in the presence of the emperor's principal consort. Among these noblewomen was an imperial concubine named Nakanoin Nakako, who in 1609 became embroiled in a sex scandal involving both courtiers and young women in the emperor's service. As punishment, Nakako was banished to an island in the Pacific Ocean, but she never reached her destination. Instead, she was shipwrecked and spent fourteen years in a remote village on the Izu Peninsula, before being set free in an amnesty. Returning to Kyoto, Nakako began a new adventure: she entered a convent and became a Buddhist nun.Recounting the remarkable story of this resilient woman and the war-torn world in which she lived, G. G. Rowley investigates aristocratic family archives, village storehouses, and the records of imperial convents to re-create Nakako's life from beginning to end. She follows the banished concubine as she endures rural exile, receives an unexpected reprieve, and rediscovers herself as the abbess of a nunnery. As she unravels Nakako's unusual tale, Rowley also profiles the little-known lives of samurai women who sacrificed themselves on the fringes of the great battles that brought an end to more than a century of civil war. Written with keen insight and genuine affection, An Imperial Concubine's Tale tells the true story of a woman's extraordinary life in seventeenth-century Japan.

An Imperial Concubine's Tale: Scandal, Shipwreck, and Salvation in Seventeenth-Century Japan

by G. G. Rowley

Japan in the early seventeenth century was a wild place. Serial killers stalked the streets of Kyoto at night, while noblemen and women mingled freely at the imperial palace, drinking saké and watching kabuki dancing in the presence of the emperor's principal consort. Among these noblewomen was an imperial concubine named Nakanoin Nakako, who in 1609 became embroiled in a sex scandal involving both courtiers and young women in the emperor's service. As punishment, Nakako was banished to an island in the Pacific Ocean, but she never reached her destination. Instead, she was shipwrecked and spent fourteen years in a remote village on the Izu Peninsula before she was finally allowed to return to Kyoto. In 1641, Nakako began a new adventure: she entered a convent and became a Buddhist nun.Recounting the remarkable story of this resilient woman and her war-torn world, G. G. Rowley investigates aristocratic family archives, village storehouses, and the records of imperial convents. She follows the banished concubine as she endures rural exile, receives an unexpected reprieve, and rediscovers herself as the abbess of a nunnery. While unraveling Nakako's unusual tale, Rowley also reveals the little-known lives of samurai women who sacrificed themselves on the fringes of the great battles that brought an end to more than a century of civil war. Written with keen insight and genuine affection, An Imperial Concubine's Tale tells the true story of a woman's extraordinary life in seventeenth-century Japan.

An Imperial Homeland: Forging German Identity in Southwest Africa (Max Kade Research Institute)

by Adam A. Blackler

At the turn of the twentieth century, depictions of the colonized world were prevalent throughout the German metropole. Tobacco advertisements catered to the erotic gaze of imperial enthusiasts with images of Ovaherero girls, and youth magazines allowed children to escape into “exotic domains” where their imaginations could wander freely. While racist beliefs framed such narratives, the abundance of colonial imaginaries nevertheless compelled German citizens and settlers to contemplate the world beyond Europe as a part of their daily lives.An Imperial Homeland reorients our understanding of the relationship between imperial Germany and its empire in Southwest Africa (present-day Namibia). Colonialism had an especially significant effect on shared interpretations of the Heimat (home/homeland) ideal, a historically elusive perception that conveyed among Germans a sense of place through national peculiarities and local landmarks. Focusing on colonial encounters that took place between 1842 and 1915, Adam A. Blackler reveals how Africans confronted foreign rule and altered German national identity. As Blackler shows, once the façade of imperial fantasy gave way to colonial reality, German metropolitans and white settlers increasingly sought to fortify their presence in Africa using juridical and physical acts of violence, culminating in the first genocide of the twentieth century.Grounded in extensive archival research, An Imperial Homeland enriches our understanding of German identity, allowing us to see how a distant colony with diverse ecologies, peoples, and social dynamics grew into an extension of German memory and tradition. It will be of interest to German Studies scholars, particularly those interested in colonial Africa.

An Imperial Possession: Britain in the Roman Empire, 54 BC - AD 409 (Penguin History of Britain)

by David Mattingly

Part of the Penguin History of Britain series, An Imperial Possession is the first major narrative history of Roman Britain for a generation. David Mattingly draws on a wealth of new findings and knowledge to cut through the myths and misunderstandings that so commonly surround our beliefs about this period. From the rebellious chiefs and druids who led native British resistance, to the experiences of the Roman military leaders in this remote, dangerous outpost of Europe, this book explores the reality of life in occupied Britain within the context of the shifting fortunes of the Roman Empire.

An Imperial State at War: Britain From 1689-1815

by Lawrence Stone

The study of eighteenth century history has been transformed by the writings of John Brewer, and most recently, with The Sinews of Power, he challenged the central concepts of British history. Brewer argues that the power of the British state increased dramatically when it was forced to pay the costs of war in defence of her growing empire. In An Imperial State at War, edited by Lawrence Stone (himself no stranger to controversy), the leading historians of the eighteenth century put the Brewer thesis under the spotlight. Like the Sinews of Power itself, this is a major advance in the study of Britain's first empire.

An Imperial War and the British Working Class: Working-Class Attitudes and Reactions to the Boer War, 1899-1902

by Richard Price

First published in 2006. Routledge is an imprint of Taylor & Francis, an informa company.

An Imperial World at War: The British Empire, 1939–45

by Ashley Jackson Yasmin Khan Gajendra Singh

At the start of the Second World War, Britain was at the height of its imperial power, and it is no surprise that it drew upon the global resources of the Empire once war had been declared. Whilst this international aspect of Britain’s war effort has been well-studied in relation to the military contribution of individual dominions and colonies, relatively little has been written about the Empire as a whole. As such, An Imperial World at War makes an important contribution to the historiography relating to the British Empire and its wartime experience. It argues that the war needs to be viewed in imperial terms, that the role of forces drawn from the Empire is poorly understood and that the war's impact on colonial societies is barely grasped at all in conventional accounts. Through a series of case studies, the volume demonstrates the fundamental role played by the Empire in Britain’s war effort and highlights some of the consequences for both Britain and its imperial territories.Themes include the recruitment and utilization of military formations drawn from imperial territories, the experience of British forces stationed overseas, the use of strategic bases located in the colonies, British policy in the Middle East and the challenge posed by growing American power, the occupation of enemy colonies and the enemy occupation of British colonies, colonial civil defence measures, financial support for the war effort supplied by the Empire, and the commemoration of the war. The Afterword anticipates a new, decentred history of the war that properly acknowledges the role and importance of people and places throughout the colonial and semi-colonial world.’ This volume emanates from a conference organized as part of the ‘Home Fronts of the Empire – Commonwealth’ project. The project was generously funded by the Arts and Humanities Research Council and led by Yasmin Khan and Ashley Jackson with Gajendra Singh as Postdoctoral Research Assistant.

An Imperial World: Empires and Colonies Since 1750

by Douglas Northrop

This text helps students understand world history by focusing on an issue that has profoundly shaped the modern world order: the establishment and collapse of global empires since 1750. An Imperial World uses a combination of primary documents and analytical essays, both tightly focused around four case studies: India, Africa, Asia, and the Americas. It examines the historical development of colonial systems and shows their enormous role in shaping the modern world order. It is meant to be thematic and suggestive, offering arguments and information to serve as a starting point for discussion and exploration.

An Impetuous Abduction

by Patricia Frances Rowell

Beauty and the blackguardMoments after Persephone Hathersage stumbled upon a band of thieves, the terrified young lady was spirited away on horseback! But trepidation soon gave way to scandalous desire when her brooding captor tenderly nursed a feverish Phona back to health. Spellbound by the battle-scarred blackguard who kept her confined in an ancient fortress, Phona knew any impropriety with this nameless rogue would tarnish her reputation forever, not to mention plunge her into even further peril! However, appearances could be quite deceiving. . . .

An Important Family (Sound Ser.)

by Dorothy Eden

The saga of an English family in New Zealand and the secret that haunts them, from the New York Times–bestselling author of The American Heiress. For Kate O&’Connor, desperate to escape her tragic past in England, the opportunity to immigrate to New Zealand with Sir John Devenish and his wife and daughter is a chance to start over. Exhilarated by this wild, primitive place on the other side of the world, Kate&’s happiness is marred by a love she knows is taboo. When a sudden and suspicious death throws her life into turmoil, she begins to uncover the real reason the Devenish family left England. From a grand townhouse in London to a sheep farm in New Zealand, An Important Family, which was hailed by the Cleveland Plain Dealer as &“a compulsive page turner,&” is the story of a country in the midst of colonization—a transformation that parallels Kate O&’Connor&’s own rite of passage into womanhood as she finds her future in a magnificent new land.

An Impossible Attraction

by Brenda Joyce

With her mother's passing, Alexandra Bolton gave up on love to take care of her family. Now, with the Bolton name in disgrace due to her father's profligate ways, marrying an elderly squire might be the only way to save her family from absolute ruin. But when she meets the infamous Duke of Clarewood, old dreams-and old passions-are awakened as never before. Yet she cannot accept his shocking proposition!He is the wealthiest, most powerful peer in the realm, and having witnessed the cold horror of marriage as a child, he has vowed never to wed. But Alexandra Bolton inflames him as no woman has ever done, and she also serves him his first rejection! Now Clarewood-who always gets what he wants-will choose which rules to play by. But when passion finally brings them together, a terrible secret threatens to tear them apart....

An Impossible Distance to Fall

by Miriam McNamara

A story about falling—falling from grace, falling in love—as well as soaring to heights you wouldn’t know were possible if you never stepped out into thin air.A story about falling—falling from grace, falling in love—as well as soaring to heights you wouldn’t know were possible if you never stepped out into thin air. It’s 1930, and Birdie William’s life has crashed along with the stock market. Her father’s bank has failed, and worse, he’s disappeared along with his Jenny biplane. When Birdie sees a leaflet for a barnstorming circus with a picture of Dad’s plane on it, she goes to Coney Island in search of answers. The barnstorming circus has lady pilots, daredevil stuntmen, fire-spinners, and wing walkers, and Birdie is instantly enchanted—especially with a girl pilot named June. Birdie doesn’t find her father, but after stumbling across clues that suggest he’s gone to Chicago, she figures she’ll hitch a ride with the traveling circus doing what she does best: putting on a convincing act and insisting on being star of the show. But the overconfidence that made her belle of the ball during her enchanted youth turns out to be far too reckless without the safety net of her charmed childhood, and a couple of impulsive missteps sends her and her newfound community spinning into freefall.

An Impossible Friendship: Group Portrait, Jerusalem Before and After 1948 (Religion, Culture, and Public Life #47)

by Sonja Mejcher-Atassi

In Jerusalem, as World War II was coming to an end, an extraordinary circle of friends began to meet at the bar of the King David Hotel. This group of aspiring artists, writers, and intellectuals—among them Wolfgang Hildesheimer, Jabra Ibrahim Jabra, Sally Kassab, Walid Khalidi, and Rasha Salam, some of whom would go on to become acclaimed authors, scholars, and critics—came together across religious lines in a fleeting moment of possibility within a troubled history. What brought these Muslim, Jewish, and Christian friends together, and what became of them in the aftermath of 1948, the year of the creation of the State of Israel and the Palestinian Nakba?Sonja Mejcher-Atassi tells the story of this unlikely friendship and in so doing offers an intimate cultural and social history of Palestine in the critical postwar period. She vividly reconstructs the vanished social world of these protagonists, tracing the connections between the specificity of individual lives and the larger contexts in which they are embedded. In exploring this ecumenical friendship and its artistic, literary, and intellectual legacies, Mejcher-Atassi demonstrates how social biography can provide a picture of the past that is at once more inclusive and more personal. This group portrait, she argues, allows us to glimpse alternative possibilities that exist within and alongside the fraught history of Israel/Palestine. Bringing a remarkable era to life through archival research and nuanced interdisciplinary scholarship, An Impossible Friendship unearths prospects for historical reconciliation, solidarity, and justice.

An Impossible Impostor (A Veronica Speedwell Mystery #7)

by Deanna Raybourn

While investigating a man claiming to be the long-lost heir to a noble family, Veronica Speedwell gets the surprise of her life in this new adventure from the New York Times bestselling and Edgar Award–nominated author Deanna Raybourn.London, 1889. Veronica Speedwell and her natural historian beau Stoker are summoned by Sir Hugo Montgomerie, head of Special Branch. He has a personal request on behalf of his goddaughter, Euphemia Hathaway. After years of traveling the world, her eldest brother, Jonathan, heir to Hathaway Hall, was believed to have been killed in the catastrophic eruption of Krakatoa a few years before. But now a man matching Jonathan&’s description and carrying his possessions has arrived at Hathaway Hall with no memory of his identity or where he has been. Could this man truly be Jonathan, back from the dead? Or is he a devious impostor, determined to gain ownership over the family's most valuable possessions—a legendary parure of priceless Rajasthani jewels? It's a delicate situation, and Veronica is Sir Hugo's only hope. Veronica and Stoker agree to go to Hathaway Hall to covertly investigate the mysterious amnesiac. Veronica is soon shocked to find herself face-to-face with a ghost from her past. To help Sir Hugo discover the truth, she must open doors to her own history that she long believed to be shut for good.

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