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

    That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.

    The book traces the history of astronomy, from the earliest human civilizations to the present day, plus a description of what the interested person can see in the night sky.

    The aim of this new revolution is to develop a "theory of everything" -- a set of laws of physics that will explain all that can be explained, ranging from the tiniest subatomic particle to the universe as a whole. Here, readers will learn the ideas behind the theories and their effects upon our world, our civilization, and ourselves.

    In this exciting sequel, Barbara Hand Clow takes these teachings to a practical level so that we can all discover multidimensionality in our daily lives.Based on more than ten years of experience with students, and years of research into the new sciences that validate the breakthrough concepts in The Pleiadian Agenda, Clow presents each dimension in detail. Alchemy of Nine Dimensions reveals how the Pleiadians described the nine dimensionssharpens our understanding with scientific and historical explanationsoffers a startling interpretation of crop circleshelps you contact and work with beings in many dimensions, and provides meditations on how to ground these nine dimensions of awareness energetically into our bodiesFinally, Clow reveals the true significance of the date December 21, 2012--the end of the Mayan calendar--and tells you what you need to know to begin physical and spiritual preparation.

    Drawing on cutting-edge science, they begin at the limits of the observable universe, a scale spanning 10^27 meters--about 93 billion light-years. And they end in the subatomic realm, at 10^-35 meters, where the fabric of space-time itself confounds all known rules of physics. In between are galaxies, stars and planets, oceans and continents, plants and animals, microorganisms, atoms, and much, much more. Stops along the way--all enlivened by Scharf's sparkling prose and his original insights into the nature of our universe--include the brilliant core of the Milky Way, the surface of a rogue planet, the back of an elephant, and a sea of jostling quarks.The Zoomable Universe is packed with more than 100 original illustrations and infographics that will captivate readers of every age. It is a whimsical celebration of discovery, a testament to our astounding ability to see beyond our own vantage point and chart a course from the farthest reaches of the cosmos to its subatomic depths--in short, a must-have for the shelves of all explorers.

    Yet psychologists and philosophers agree that these commonplace approaches to creating happiness, success, and fulfillment make critical mistakes. Stop Chasing Carrots reveals how these mistakes begin with misconceptions about happiness and then presents a philosophy of life to achieve better results.Here is the rare book that creates a philosophy of life based on scientific evidence. Replacing self-help materialism, Eastern spiritualism/minimalism, and complex but insightful psychological studies with an accessible, balanced, and realistic concept, Stop Chasing Carrots empowers readers to lead lives based on proven ideas.

    Contemplation of time and the discoveries of modern science lead to the assertion that the mind is paramount and limitless.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    In Gravity, he takes an enlightening look at three of the towering figures of science who unlocked many of the mysteries behind the laws of physics: Galileo, the first to take a close look at the process of free and restricted fall; Newton, originator of the concept of gravity as a universal force; and Einstein, who proposed that gravity is no more than the curvature of the four-dimensional space-time continuum.Graced with the author's own drawings, both technical and fanciful, this remarkably reader-friendly book focuses particularly on Newton, who developed the mathematical system known today as the differential and integral calculus. Readers averse to equations can skip the discussion of the elementary principles of calculus and still achieve a highly satisfactory grasp of a fascinating subject.Starting with a chapter on Galileo’s pioneering work, this volume devotes six chapters to Newton's ideas and other subsequent developments and one chapter to Einstein, with a concluding chapter on post-Einsteinian speculations concerning the relationship between gravity and other physical phenomena, such as electromagnetic fields.

    /BEST VALUE ON THIS MUST READ BOOK FOR THE STUDENT/FAST SHIPPING/OUTSTANDING CUSTOMER

    this is one of those rare books that will change your beliefs - and in doing so will change your life. tHE ANt AND tHE FERRARI offers readers a clear, navigable path through the big questions that confront us all today. What is the meaning of life? Can we be ethical beings in today's world? Can we know if there is life after death? Is there such a thing as Absolute truth? What caused the Big Bang and why should you care?

    In their discovery of the quantum realm, the physics community stumbled upon a genuine multifaceted revelation which can be likened to a profound spiritual treasure - a heretofore undreamed of creative power - hidden within our own mind. Quantum physics unequivocally points out that the study of the universe and the study of consciousness are inseparably linked, which is to say that ultimate progress in the one will be impossible without progress in the other. Einstein declared that what it reveals is so immensely important that "it should be everyone's concern." Yet few of us in the general public truly understand how the game-changing discoveries of the past century not only relate to our day-to-day lives, but also give us insights into the nature of reality and our place within it.Written for readers with no physics background, Paul Levy's latest book, The Quantum Revelation: A Radical Synthesis of Science and Spirituality is for those who have heard that quantum physics is a fascinating subject but don't quite understand how or why. Levy contemplates the deeper philosophical underpinnings of quantum physics, exploring the fundamental questions it provokes: What does it mean that quantum theory has discovered that there is no such thing as "objective reality?" How are we participating - via our consciousness - in creating our experience of a reality that quantum theory itself describes as "dreamlike?" What are the implications for us in our day-to-day lives that - as quantum theory reveals - what we call reality is more like a dream than we had previously imagined?The Quantum Revelation is unique in how it synthesizes science and spirituality so as to reveal and explore the dreamlike nature of reality. It is a book not just for people interested in quantum theory, but for anyone who is interested in waking up and dreaming lucidly, be it in our night dreams or our waking life.

    One of the world's leading astronomers, Robert Kirshner, takes readers inside a lively research team on the quest that led them to an extraordinary cosmological discovery: the expansion of the universe is accelerating under the influence of a dark energy that makes space itself expand. In addition to sharing the story of this exciting discovery, Kirshner also brings the science up-to-date in a new epilogue. He explains how the idea of an accelerating universe--once a daring interpretation of sketchy data--is now the standard assumption in cosmology today.This measurement of dark energy--a quality of space itself that causes cosmic acceleration--points to a gaping hole in our understanding of fundamental physics. In 1917, Einstein proposed the cosmological constant to explain a static universe. When observations proved that the universe was expanding, he cast this early form of dark energy aside. But recent observations described first-hand in this book show that the cosmological constant--or something just like it--dominates the universe's mass and energy budget and determines its fate and shape.Warned by Einstein's blunder, and contradicted by the initial results of a competing research team, Kirshner and his colleagues were reluctant to accept their own result. But, convinced by evidence built on their hard-earned understanding of exploding stars, they announced their conclusion that the universe is accelerating in February 1998. Other lines of inquiry and parallel supernova research now support a new synthesis of a cosmos dominated by dark energy but also containing several forms of dark matter. We live in an extravagant universe with a surprising number of essential ingredients: the real universe we measure is not the simplest one we could imagine.

    Written by two of the world’s foremost authorities on space history, Hubble: Imaging Space and Time illuminates the solar system’s workings, the expansion of the universe, the birth and death of stars, the formation of planetary nebulae, the dynamics of galaxies, and the mysterious force known as "dark energy." The potential impact of this book cannot be overstressed: The 2008 servicing mission to install new high-powered scientific instruments is especially high profile because the cancellation of the previous mission, in 2004, caused widespread controversy. The authors reveal the inside story of Hubble’s beginnings, its controversial early days, the drama of its first servicing missions, and the creation of the dynamic images that reach into the deepest regions of visible space, close to the time when the universe began. A wealth of astonishing images leads us to the very edge of known space, setting the stage for the new James Webb Space Telescope, scheduled to launch in 2013. Find the stunning panoramic of Carina Nebula, detailing star birth as never before; a jet from a black hole in one galaxy striking a neighboring galaxy; a jewel-like collection of galaxies from the early years of the universe; and a giant galaxy cannibalizing a smaller galaxy. Timed for the 2008 shuttle launch and coinciding with the 400th anniversary of Galileo’s first telescope, Hubble: Imaging Space and Time accompanies a high-profile exhibit at the National Air and Space Museum and will be featured on the popular NASM website.