This is type of problems asked at the JEE (IIT). The purpose of this book is to show students how to handle such problems and give them sufficient practice in solving problems of this type, thus building their confidence. The main features of this book are:Each chapter begins with a summary of facts, formulate and working techniques. Trick, tips and techniques have been clearly marked with the icon.A large number of problems have been solved and explained in each chapter.The exercises contain short-answer, long-answer and objective type questions.Multiple-choice questions in which more than one option may be correct have also been given.Time-bound tests at the end of each chapter will help students practise answering questions in a given time.The book also includes integrated tests, bases on all the chapters.A chapter containing miscellaneous problems has been given at the end of the book. This will help students gain confidence in solving problems without prior knowledge of the chapter(s) to which the problems belong.Table of ContentsAlgebraProgressions, Related Inequalities and SeriesDeterminants and Cramer's RuleEquations, Inequations and ExpressionsComplex NumbersPermutation and CombinationBinomial Theorem for Positive Integral IndexPrinciple of Mathematical Induction (PMI)Infinite SeriesMatricesTrigonometryCircular Functions, IdentitiesSolution of EquationsInverse Circular FunctionsTrigonometrical Inequalities and InequationsLogarithmProperties of TriangleHeights and DistancesCoordinate GeometryCoordinates and Straight LinesPairs of Straight Lines and Transformation of AxesCirclesParabolaEllipse and HyperbolaCalculusFunctionDifferentiationLimit, Indeterminate FormContinuity, Differentiability and Graph of FunctionApplication of dy/dxMaxima and MinimaMonotonic Function and Lagrange's TheoremIndefinite In

    But from Pearl Harbor on, he often wrote passionate accounts of America's wars based on his own firsthand experience. Vietnam was no exception.Thomas E. Barden's Steinbeck in Vietnam offers for the first time a complete collection of the dispatches Steinbeck wrote as a war correspondent for Newsday. Rejected by the military because of his reputation as a subversive, and reticent to document the war officially for the Johnson administration, Steinbeck saw in Newsday a unique opportunity to put his skills to use. Between December 1966 and May 1967, the sixty-four-year-old Steinbeck toured the major combat areas of South Vietnam and traveled to the north of Thailand and into Laos, documenting his experiences in a series of columns titled Letters to Alicia, in reference to Newsday publisher Harry F. Guggenheim's deceased wife. His columns were controversial, coming at a time when opposition to the conflict was growing and even ardent supporters were beginning to question its course. As he dared to go into the field, rode in helicopter gunships, and even fired artillery pieces, many detractors called him a warmonger and worse. Readers today might be surprised that the celebrated author would risk his literary reputation to document such a divisive war, particularly at the end of his career.Drawing on four primary-source archives--the Steinbeck collection at Princeton, the Papers of Harry F. Guggenheim at the Library of Congress, the Pierpont Morgan Library's Steinbeck holdings, and the archives of Newsday--Barden's collection brings together the last published writings of this American author of enduring national and international stature. In addition to offering a definitive edition of these essays, Barden includes extensive notes as well as an introduction that provides background on the essays themselves, the military situation, the social context of the 1960s, and Steinbeck's personal and political attitudes at the time.

    ‘The Medieval Anarchy: History in an Hour’ is engagingly written and accessible for all history lovers.This, in an hour, is the story of ‘The Medieval Anarchy’ through the personalities, context, events and aftermath of England's first, and often forgotten, civil war.Love your history? Find out about the world with History in an Hour…

    It’s a decision Huck’s creator already had made, albeit for somewhat different reasons, a quarter of a century earlier. He wasn’t even Mark Twain then, but as Huck might have said, “That ain’t no matter.” With the Civil War spreading across his native Missouri, twenty-five-year-old Samuel Clemens, suddenly out of work as a Mississippi riverboat pilot, gladly accepted his brother Orion’s offer to join him in Nevada Territory, far from the crimsoned battlefields of war.A rollicking, hilarious stagecoach journey across the Great Plains and over the Rocky Mountains was just the beginning of a nearly six-year-long odyssey that took Samuel Clemens from St. Joseph, Missouri, to Hawaii, with lengthy stopovers in Virginia City, Nevada, and San Francisco. By the time it was over, he would find himself reborn as Mark Twain, America’s best-loved, most influential writer. The “trouble,” as he famously promised, had begun.With a pitch-perfect blend of appreciative humor and critical authority, acclaimed literary biographer Roy Morris, Jr., sheds new light on this crucial but still largely unexamined period in Mark Twain’s life. Morris carefully sorts fact from fiction—never an easy task when dealing with Twain—to tell the story of a young genius finding his voice in the ramshackle mining camps, boomtowns, and newspaper offices of the wild and woolly West, while the Civil War rages half a continent away.With the frequent help of Twain’s own words, Morris follows his subject on a winding journey of selfdiscovery filled with high adventure and low comedy, as Clemens/Twain dodges Indians and gunfighters, receives marriage advice from Brigham Young, burns down a mountain with a frying pan, gets claim-jumped by rival miners, narrowly avoids fighting a duel, hikes across the floor of an active volcano, becomes one of the first white men to try the ancient Hawaiian sport of surfing, and writes his first great literary success, “The Celebrated Jumping Frog of Calaveras County.”Lighting Out for the Territory is a fascinating, even inspiring, account of how an unemployed riverboat pilot, would-be Confederate guerrilla, failed prospector, neophyte newspaper reporter, and parttime San Francisco aesthete reinvented himself as America’s most famous and beloved writer. It’s a good story, and mostly true—with some stretchers thrown in for good measure.

    Josiah’s nephew Tom journeys to America to buy clay from the Cherokee for this exquisite china. Tom is caught up in the American rebellion, and falls for a Cherokee woman who will come to play a crucial role in Josiah’s late, great creation – the Portland Vase. A novel of epic scope, rich in warmth, intellect and humanity, The Potter’s Hand explores the lives and loves of a great British dynasty, whose travails are both ordinary – births, deaths, marriages, opium addiction, depression – and utterly extraordinary.

    Both have democratic polities, mixed-enterprise economies, individuated societies, pluralist cultures, and a deep concern for human rights and the rule of law. But all ofthese elements take different forms, because constellations of value are far apart. The dream of living free is America's Polaris; fairness and natural justice are New Zealand's Southern Cross.Fischer asks why these similar countries went different ways. Both were founded by English-speaking colonists, but at different times and with disparate purposes. They lived in the first and second British Empires, which operated in very different ways. Indians and Maori were important agents ofchange, but to different ends. On the American frontier and in New Zealand's Bush, material possibilities and moral choices were not the same. Fischer takes the same comparative approach to parallel processes of nation-building and immigration, women's rights and racial wrongs, reform causes andconservative responses, war-fighting and peace-making, and global engagement in our own time--with similar results.On another level, this book expands Fischer's past work on liberty and freedom. It is the first book to be published on the history of fairness. And it also poses new questions in the old tradition of history and moral philosophy. Is it possible to be both fair and free? In a vast array ofevidence, Fischer finds that the strengths of these great values are needed to correct their weaknesses. As many societies seek to become more open--never twice in the same way, an understanding of our differences is the only path to peace.

    With brilliant wit, idiosyncratic intelligence, and a bold grasp of intricate political realities, the celebrated author of Flaubert's Parrot turns his satiric glance homeward to England, in a sparkling collection of essays that illustrates the infinite variety of contemporary London life.

    The oldest detectable territorial division in Great Britain, the Debatable Land once served as a buffer between England and Scotland. It was once the bloodiest region in the country, fought over by Henry VIII, Elizabeth I, and James V. After most of its population was slaughtered or deported, it became the last part of Great Britain to be brought under the control of the state. Today, its boundaries have vanished from the map and are matters of myth and generational memories. In The Debatable Land, historian Graham Robb recovers the history of this ancient borderland in an exquisite tale that spans Roman, Medieval, and present-day Britain. Rich in detail and epic in scope, The Debatable Land provides a crucial, missing piece in the puzzle of British history.

    Considering various types of participatory writing as different strains of one style—immersion writing—Robin Hemley offers new perspectives and practical advice for writers of this nonfiction genre.Immersion writing can be broken down into the broad categories of travel writing, immersion memoir, and immersion journalism. Using the work of such authors as Barbara Ehrenreich, Hunter S. Thompson, Ted Conover, A. J. Jacobs, Nellie Bly, Julio Cortazar, and James Agee, Hemley examines these three major types of immersion writing and further identifies the subcategories of the quest, the experiment, the investigation, the infiltration, and the reenactment. Included in the book are helpful exercises, models for immersion writing, and a chapter on one of the most fraught subjects for nonfiction writers—the ethics and legalities of writing about other people.A Field Guide for Immersion Writing recalibrates and redefines the way writers approach their relationship to their subjects. Suitable for beginners and advanced writers, the book provides an enlightening, provocative, and often amusing look at the ways in which nonfiction writers engage with the world around them.A Friends Fund Publication.

    As they take on the management of their new employers’ majestic house, will the opportunities to create luscious food for the guests and explore rural France enable them to create a dream life? Or will French officialdom, family illness and a sudden career curveball send them hurrying home to New Zealand?Perfect for fans of Peter Mayle’s A Year in Provence, Janine Marsh’s My Good Life in France and Beth Haslam’s Fat Dogs and French Estates.

    With tales of burning bishops and blood-soaked streets, plus foul facts about student scraps and Civil-War strife, Oxford's history is truly horrible.

    In the style of Studs Terkel (Working, Hard Times, The Good War) and Dave Isay (Listening Is an Act of Love), Londoners offers up  the stories, the gripes, the memories, and the dreams of those in the great and vibrant British metropolis who “love it, hate it, live it, left it, and long for it,” from a West End rickshaw driver to a Soldier of the Guard at Buckingham Palace to a recovering heroin addict seeing Big Ben for the very first time. Published just in time for the 2012 London Olympic Games, Londoners is a glorious literary celebration of one of the world’s truly great cities.

    By the end of the 1930s they had lost not only a generation of sons in the First World War, but also much of their prosperity, prestige, and political significance.Deftly orchestrating an enormous array of documents and letters, facts, and statistics, David Cannadine shows how this shift came about--and how it was reinforced in the aftermath of the Second World War. Astonishingly learned, lucidly written, and sparkling with wit, The Decline and Fall of the British Aristocracy is a landmark study that dramatically changes our understanding of British social history.

    The New York Times called it the "first bona-fide walk . . . across the American continent," and eagerly chronicled a journey in which Weston was beset by fatigue, mosquitos, vicious headwinds, and brutal heat. He was 70 years old.In The Last Great Walk, journalist Wayne Curtis uses the framework of Weston's fascinating and surprising story, and investigates exactly what we lost when we turned away from foot travel, and what we could potentially regain with America's new embrace of pedestrianism. From how our brains and legs evolved to accommodate our ancient traveling needs to the way that American cities have been designed to cater to cars and discourage pedestrians, Curtis guides readers through an engaging, intelligent exploration of how something as simple as the way we get from one place to another continues to shape our health, our environment, and even our national identity.Not walking, he argues, may be one of the most radical things humans have ever done.

    London has long been a magnet for aspiring artists and writers, musicians and fashion designers seeking inspiration and success in this great city. In London Calling, Barry Miles explores the counter culture that sprang up in the decades following the Second World War, focusing on the West End and Soho, where the presence of so many artists has established a unique atmosphere; creative, avant garde, permissive, anarchic - the throbbing heart of London. Here are the heady days of post-war Soho when suddenly everything seemed possible, the jazzbars and clubs of the fifties, the teddy boys and the Angry Young Men, Francis Bacon and the legendary Colony Club, the 1960s and the Summer of Love, the rise of punk and the early days of the YBAs.