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

    This authoritative biography is based on a wealth of previously unpublished material (including 2 poems) gathered by the author in more than 200 interviews & extensive research in the UK & USA. With 25 b/w illustrations.

    All of the mentioned are just puppets on an invisible string doing the biddings of a few unseen puppeteers. Yes, that’s right. A few elite and undisclosed organizations send our children off to war, restrict the growth of the middle class, and limit educational opportunities for American citizens. The sad truth is this is nothing new. Thomas Jefferson and Benjamin Franklin warned of the dangers and destructive power of these elites if left unchecked. These few unchosen were able, and continue, to use the Federal Reserve Banking System, universities, and war to create economic recessions and depressions that provide unnoticed benefits to a select group of social manipulators. In this stunning new book, Mark Mullen takes us on an intellectual journey through the world of secret partnerships created by unfamiliar ideologues designed to acquire most of the nation’s wealth and power. In Who Controls America, Mullen shines a light on those few elites who place greed, power, and profits above the interests of the American citizen and the pursuit of the American Dream.

    In an era of the military space race, Erich von Däniken boldly proclaimed that Earth had been visited by more advanced beings early in our history. But prescientific man had no concept of space ships, so he called their vehicles “chariots,” and those driving the chariots became “gods.” Over the next five decades, von Däniken’s more than 40 books built an ever-stronger case for Earth being visited by extraterrestrial visitors. And Chariots became an international best seller, with 30 million copies sold in more than two dozen languages. Also during that time, the case for ET visitations millennia ago was being reexamined by contemporary UFO researchers, who found evidence of modern visitations. And von Däniken expanded his perspective to encompass the present. Now, he presents his long-awaited sequel to Chariots of the Gods, proclaiming that the gods never left us with all-new material to show that ancient aliens are still with us. The Gods Never Left Us contends that recent advancements in biotechnology, astrophysics, engineering, and artificial intelligence not only give us a fresh perspective on his ancient astronaut theory but actually validates it. We are—as a race—embarking on the exact same trajectory of our own interplanetary colonization, just as von Däniken suggested Earth itself was colonized. ETs are definitely at work today. And that affects all of us. Why do they do what they do? What could an extraterrestrial species possibly gain from observing us in the same way we look at ants? What have these strangers wanted for the past thousands of years? Can’t they leave us alone? And what makes it so difficult for us to acknowledge the existence of these extraterrestrials? That is what this book deals with. "Erich's newest book is a fascination journey from the ancient past into the present with a plethora of scientific evidence and documented research. As always, he ads his own "to the point" take on it all. Readers may also like that his newest work moves in a slightly different direction from his past books. A thoroughly enlightening and enjoyable Read." —Bruce Cunningham, Director, Ancient Mysteries International LLC & Publisher of Advanced Archaeology Review magazine

    A compendium of in-depth reports from all over the world, including Iran, North Korea, Bhutan, Japan, Pakistan, Israel, Africa Turkey and China.

    From the Middle Ages onwards the island of Britain has been shaped by the unique dynamic between Edinburgh and London, exchanging inhabitants, monarchs, money and ideas, sometimes in a spirit of friendship and at others in a spirit of murderous dislike.Tom Devine's seminal new book explores this extraordinary history in all its ambiguity, from the seventeenth century to the present. When not undermining each other with invading armies, both Scotland and England have broadly benefitted from each other's presence - indeed for long periods of time nobody questioned the union which joined them. But as Devine makes clear, it has for the most part been a relationship based on consent, not force, on mutual advantage, rather than antagonism - and it has always held the possibility of a political parting of the ways.With the United Kingdom under a level of scrutiny unmatched since the eighteenth century Independence or Union is the essential guide.

    As you identify your tribe and divinely align in time with God's calendar, you will discover how to find your position in God's Kingdom, how to war effectively for your inheritance, and then walk in His blessings.A Time to Advance: Understanding the Significance of the Hebrew Tribes and Months will help you understand how God is developing His whole conquering army for today. You will also understand how each part moves together, and the redemptive quality of God's covenant plan for Israel. This will help ground you on how we are grafted into a movement in days ahead.As you learn how to think like God thinks and study the Hebrew tribes and months, you will receive prophetic understanding of how the Lord orders your steps throughout the year. You will also see your place in God's next Triumphant Reserve that is rising in the Earth today!

    By tracing the historical progression of rhetoric from the Greek Sophists of the 5th Century B.C. to contemporary studies--such as the rhetoric of science and feminist rhetoric--this concise yet comprehensive text helps students better understand what rhetoric is and what unites differing rhetorical theories throughout history.

    - help is finally at hand. That help comes in the comfortingly accessible form of Stephen Trombley's Short History of Western Thought, which outlines the 2,500-year history of European ideas from the philosophers of Classical Antiquity to the thinkers of today, No major representative of any significant strand of Western thought escapes Trombley's attention: the Christian Scholastic theologians of the Middle Ages, the great philosophers of the Enlightenment, the German idealists from Kant to Hegel; the utilitarians Bentham and Mill; the transcendentalists Emerson and Thoreau; Kierkegaard and the existentialists; the analytic philosophers Russell, Moore, Whitehead and Wittgenstein; and - last but not least - the four shapers-in-chief of our modern world: the philosopher, historian and political theorist Karl Marx; the naturalist Charles Darwin, proposer of the theory of evolution; Sigmund Freud, the father of psychoanalysis; and the theoretical physicist Albert Einstein, begetter of the special and general theories of relativity and founder of post-Newtonian physics.

    

     The Viking Age! A brief footprint in the course of history that impacted generations hundreds of years into the future. You will dive into the depths of Scandinavia to find out what made the Vikings the most feared group of people in the European Middle Ages. Experts at warfare and navigating the high seas, the Vikings were on a mission and would not let anyone stand in their way! Brutal conquerors they were, but the Vikings were no mere savages. The Vikings had a unique culture and society that spread much influence through transcontinental trade and exploration into unknown worlds. Navigate the Vikings' journey from their first encounters with the inhabitants of the British Isles to their discoveries of Greenland and North America. Along the way, meet some of the most famous Vikings to ever walk the face of the Earth. You will meet the infamous legend Ragnar Lothbrok whose very existence is shrouded in mystery. Step into the shoes of the first European explorer to step foot onto the lands of North America, Leif Erikson. Countless other warriors, kings, and explorers left their mark that paved the path the world has taken to this very day. Get your copy now! Relive their journeys through the eyes of a Viking and discover the makings of this fascinating civilization!

    

    The aim of the series is to give readers accessible and informative introductions to some of the most popular, most acclaimed and most influential novels of recent years - from ‘The Remains of the Day' to ‘White Teeth'. A team of contemporary fiction scholars from both sides of the Atlantic has been assembled to provide a thorough and readable analysis of each of the novels in question.

     He ordered a superhuman effort to make Britain a nuclear power. Although Britain had been a junior partner in the Manhattan Project which had produced the American bombs, no British scientist had more than partial knowledge of the complex physics involved. The war over, the Americans cut off all help. At a time of daunting economic difficulty and amid the growing tension of the Cold War, the project hurriedly took shape behind a cloak of almost paranoid secrecy and in an atmosphere of constant stringency and shortage. Brian Cathcart’s book ranges over politics, diplomacy, espionage and science, but above all it tells the story of the brilliant young scientist William Penney, his team and their struggle. The men who worked behind the security fences at Aldermaston have been allowed to speak. The tales include fearsome risks, vast resourcefulness, bureaucratic obstruction, naval intransigence and a measure of black humour. The veil is also lifted on the extraordinary contribution of Klaus Fuchs, the Soviet spy. Finally the high drama of the test itself, conducted off the coast of Australia after a naval operation which came close to total fiasco, is recounted in gripping detail. Test of Greatness draws on what at the time the book was published were newly declassified documents. Cathcart also speaks uses primary sources, such as the words of the participants, illustrating and illuminating in vivid, human terms a secret but crucial chapter of post-war British history. Praise for Brian Cathcart: ‘The story of the British bomb mixes science, politics, espionage, Essex and morality. A nation is changed for ever when it decides to become a nuclear power. Brian Cathcart takes this complicated array of factors and makes them rise out of the page and walk to a very wide audience.’ – Sir Peter Hennessy, military historian Brian Cathcart was Assistant Editor of the Independent on Sunday when he wrote Test of Greatness. Since then he has taken up a position at Kingston University London and founded Hacked Off in the aftermath of the tabloid phone-hacking scandal. He has just published his eighth book, The News from Waterloo. His previous works include accounts of the murders of Jill Dando and Stephen Lawrence.

    Recently he set out to travel through Pakistan, revisiting those places that meant most to him along the great Indus river, from its delta on the Arabian Sea to its headwaters in the Himalayas, by way of the mysterious ruins at Mohenjodaro, the plains of Sind and the Punjab, the Khyber Pass, and his home town of Lahore. Imran’s amusing anecdotes and acute observations provide a unique insight into the richly varied life of Pakistan’s past and present; a life vividly portrayed by the superb colour photographs of Mike Goldwater. The result is a sumptuous personal view of Pakistan seen through the eyes of one of its most illustrious countrymen.