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

    nd its place within a grander scheme, one of the most creative and original of contemporary scientists draws together recent advances in astrophysics and up-to-the-minute research to cast a piercing light on man's place in the cosmos.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    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.

    By linking research ranging from the ancient Greek "dream temples" and modern experiments in telepathy, REM, and lucid dreaming to his own research on human consciousness, he theorizes that dreaming is the basis for consciousness, and that it is through dreaming that we are able to manifest a sense of ourselves.

    With chapters ranging from Christmas astrology to the dreaded sprout this is the essential Christmas purchase.

    Organized to illustrate the major themes of Elliot Aronson's The Social Animal, this collection of classic and contemporary readings explores the most important ideas, issues, and debates in social psychology today.

    This award-winning book explains what these extra dimensions reveal about God and the incarnation, atonement, free will, and predestination.

     99.99% of the world’s mysteries are yet to be discovered and/or solved. Why not… It’s time for you to rediscover science? One of the most compelling draws of the sciences for many people is the potential of discovering something that was not known before. Whether someone’s doing it for fame, for fortune, or just for the fun of it, discovering something new, leaving your own personal mark for the rest of humanity’s time in the universe, is a tempting prospect for many. How would you feel about naming a star, and for others to know that you named it? That star would be visible in the sky for the rest of your lifetime, and more than likely for your great-great-great-grandchildren’s lifetimes. Your discovery would be immortalized above for the life of the star. Inside this book you will discover: -String theory and how it came about -Black holes and quantum gravity -If Schrödinger’s Cat is really a cat? -Disagreements between Einstein and Bohr -The double slit experiment Attention! Quantum Physics is NOT for everyone! This book is not for people: -Who doesn’t want to impress their girl with science -Who are not curious about the universe -Who isn’t inspired to name their own science theory If you are ready to learn about quantum physics, Scroll Up And Click On The “BUY NOW” Button Now!

    Titan Unveiled is one of the first general interest books to reveal the startling new discoveries that have been made since the arrival of the Cassini-Huygens mission to Saturn and Titan.Ralph Lorenz and Jacqueline Mitton take readers behind the scenes of this mission. Launched in 1997, Cassini entered orbit around Saturn in summer 2004. Its formidable payload included the Huygens probe, which successfully parachuted down through Titan's atmosphere in early 2005, all the while transmitting images and data--and scientists were startled by what they saw. One of those researchers was Lorenz, who gives an insider's account of the scientific community's first close encounter with an alien landscape of liquid methane seas and turbulent orange skies. Amid the challenges and frayed nerves, new discoveries are made, including methane monsoons, equatorial sand seas, and Titan's polar hood. Lorenz and Mitton describe Titan as a world strikingly like Earth and tell how Titan may hold clues to the origins of life on our own planet and possibly to its presence on others.Generously illustrated with many stunning images, Titan Unveiled is essential reading for anyone interested in space exploration, planetary science, or astronomy.-- "Lunar and Planetary Information Bulletin"

    To the public he is a figure of tragic dimensions - a brilliant scientist and author of the phenomenal best-seller A Brief History of Time, and yet confined to a wheelchair, unable to speak or write. Hawking has mastered the two great theories of 20th-century physics - Einstein's General Theory of Relativity and Quantum Mechanics - and has made breathtaking discoveris about where they break down or overlap, such as on the edge of a Black Hole or at the Big Bang origin of the Universe. Here is the perfect introduction to Hawking's work by the author, who was helped by several long discussions with Hawking in researching the book.

    Ford shows us in The Quantum World, the laws governing the very small and the very swift defy common sense and stretch our minds to the limit. Drawing on a deep familiarity with the discoveries of the twentieth century, Ford gives an appealing account of quantum physics that will help the serious reader make sense of a science that, for all its successes, remains mysterious. In order to make the book even more suitable for classroom use, the author, assisted by Diane Goldstein, has included a new section of Quantum Questions at the back of the book. A separate answer manual to these 300+ questions is available; visit The Quantum World website for ordering information.There is also a cloth edition of this book, which does not include the Quantum Questions included in this paperback edition.

    After sampling myths explaining First Light, the story moves on to early philosophers' queries, then through the centuries, from Buddhist temples to Biblical scripture, when light was the soul of the divine.Battling darkness and despair, Gothic architects crafted radiant cathedrals while Dante dreamed a "heaven of pure light." Later, following Leonardo's advice, Renaissance artists learned to capture light on canvas. During the Scientific Revolution, Galileo gathered light in his telescope, Descartes measured the rainbow, and Newton used prisms to solidify the science of optics. But even after Newton, light was an enigma. Particle or wave? Did it flow through an invisible "ether"? Through the age of Edison and into the age of lasers, Light reveals how light sparked new wonders--relativity, quantum electrodynamics, fiber optics, and more.Although lasers now perform everyday miracles, light retains its eternal allure. "For the rest of my life," Einstein said, "I will reflect on what light is." Light explores and celebrates such curiosity.

    When the boy's eyes were healed they removed the bandages and, waving a hand in front of the child's physically perfect eyes, asked him what he saw. "I don't know," was his only reply. What he saw was only a varying brightness in front of him. However, when allowed to touch the hand as it began to move, he cried out in a voice of triumph, "It's moving!" He could feel it move, but he still needed laboriously to learn to see it move. Light and eyes were not enough to grant him sight. How, then, do we see? What's the difference between seeing and perception? What is light?From ancient times to the present, from philosophers to quantum physicists, nothing has so perplexed, so fascinated, so captivated the mind as the elusive definition of light. In Catching the Light, Arthur Zajonc takes us on an epic journey into history, tracing how humans have endeavored to understand the phenomenon of light. Blending mythology, religion, science, literature, and painting, Zajonc reveals in poetic detail the human struggle to identify the vital connection between the outer light of nature and the inner light of the human spirit. He explains the curiousness of the Greeks' blue and green "color blindness": Odysseus gazing longingly at the "wine-dark sea"; the use of chloros (green) as the color of honey in Homer's Odessey; and Euripides' use of the color green to describe the hue of tears and blood. He demonstrates the complexity of perception through the work of Paul Cézanne--the artist standing on the bank of a river, painting the same scene over and over again, the motifs multiplying before his eyes. And Zajonc goes on to show how our quest for an understanding of light, as well as the conclusions we draw, reveals as much about the nature of our own psyche as it does about the nature of light itself. For the ancient Egyptians the nature of light was clear--it simply was the gaze of God. In the hands of the ancient Greeks, light had become the luminous inner fire whose ethereal effluence brought sight. In our contemporary world of modern quantum physics, science plays the greatest part in our theories of light's origin--from scientific perspectives such as Sir Isaac Newton's "corpuscular theory of light" and Michael Faraday's "lines of force" to such revolutionary ideas as Max Planck's "discrete motion of a pendulum" (the basis of quantum mechanics), Albert Einstein's "particles of light" and "theory of relativity," and Niels Bohr's "quantum jumps." Yet the metaphysical aspects of the scientific search, Zajonc shows, still loom large. For the physicist Richard Feynman, a quantum particle travels all paths, eventually distilling to one path whose action is least--the most beautiful path of all. Whatever light is, here is where we will find it.With rare clarity and unmatched lyricism, Zajonc illuminates the profound implications of the relationships between the multifaceted strands of human experience and scientific endeavor. A fascinating search into our deepest scientific mystery, Catching the Light is a brilliant synthesis