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

    Table of Contents Unit-I: Transformers Transformers Unit-II: DC Machines DC Generators Operating Characteristics and Applications of DC Motors Speed Control Starting and Braking of DC Motors Unit-III: Three Phase Induction Motors Construction, Theory and Operation of Three-phase Induction Motors Starting, Speed Control and Braking of 3-phase Induction Motors Unit-IV: Three-Phase Synchronous Machines Synchronous Generators Synchronous Motors Unit-V: Functional Horse Power Motors and Industrial Application Functional Horse Power Motors Industrial Applications Model Test Papers Question Papers with Solutions Index

    We are introduced to the known particles of the world we live in. An elegant explanation of quantum mechanics and relativity paves the way for an understanding of the laws that govern particle physics. These laws are put into action in the world of accelerators, colliders and detectors found at institutions such as CERN and Fermilab that are in the forefront of technical innovation. Real world and theory meet using Feynman diagrams to solve the problems of infinities and deduce the need for the Higgs boson.Facts and Mysteries in Elementary Particle Physics offers an incredible insight from an eyewitness and participant in some of the greatest discoveries in 20th century science. From Einstein's theory of relativity to the elusive Higgs particle, this book will fascinate and educate anyone interested in the world of quarks, leptons and gauge theories.This book also contains many thumbnail sketches of particle physics personalities, including contemporaries as seen through the eyes of the author. Illustrated with pictures, these candid sketches present rare, perceptive views of the characters that populate the field.The Chapter on Particle Theory, in a pre-publication, was termed “superbly lucid” by David Miller in Nature (Vol. 396, 17 Dec. 1998, p. 642).

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    Written in a clear and accessible narrative, the 7th Edition focuses on fundamental principles and their applications to solving real circuit analysis problems, and devotes six chapters to examining electronic devices. With an eye-catching visual program and practical exercises, this book provides readers with the problem-solving experience they need in a style that makes complex material thoroughly understandable. For professionals with a career in electronics, engineering, technical sales, field service, industrial manufacturing, service shop repair, and/or technical writing.

    Without a doubt, the development of the computer was a massive leap forward in humankind's progress and will stand as one of the twentieth century's greatest achievements. But how many of us know how it really works? "Turing And The Computer" offers a brilliant encapsulation of the groundwork that led to the invention of the computer as we know it, and an absorbing account of the man who helped develop it, only to be largely forgotten after his death. Eccentric and principled, Turing would lay aside a brilliant career in mathematics to serve his country by breaking German codes during the Second World War. Openly homosexual, he would later be put on trial on indecency charges and forced to undergo hormone treatments that wrecked his body and his spirit. But the modern machine he helped create lives on.Concise and thoroughly compelling, "Turing And The Computer" is for all those curious about the philosophy and mechanics behind the now indispensable computer, and for anyone awed by the spark of invention that inspires its birth.

    This text provides a simple and straightforward introduction to econometrics for the beginner. The book is designed to help students understand econometric techniques through extensive examples, careful explanations, and a wide variety of problem material. In each of the editions, I have tried to incorporate major developments in the field in an intuitive and informative way without resort to matrix algebra, calculus, or statistics beyond the introductory level. The fourth edition continues that tradition.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    Perhaps you've heard that Walt Disney kept an apartment on Main Street? Or that there is a secret, members-only club in New Orleans Square? It's all true... but these are only two of the interesting facts pointed out in "101 Things You Never Knew About Disneyland." Many of the stories here deal with more obscure, yet equally interesting, histories of Disneyland. In fact, the majority of the material comes straight from interviews with the Imagineers who helped to build, maintain, and revitalize Disneyland. The book pays special attention to the inside jokes and hidden references to Disneyland's past, as these samples illustrate: Do you know which play on words pays tribute to a former Mexican restaurant at a certain site? Do you know how Tarzan's Treehouse honors its predecessor in two different ways? Do you know what is so unusual about the decorations atop "It's a Small World"? Do you know why one palm tree in Adventureland is special? Do you know what the sign says at the bottom of Splash Mountain's big drop? Do you know which pumpkin is an homage to a Disneyland official? It's a certainty that you haven't heard all these stories before. Although there are 101 such highlighted stories, each comes with a fuller description and is followed by a second story that is thematically related, so this volume really offers 202 Things you haven't heard about Disneyland before. You will find these facts delightful and unforgettable once you've heard them!

    A man of faith ordained in the Protestant tradition, Heino Falcke wrestles with the ways in which black holes force us to confront the boundary where human life ends and the celestial begins. He also ponders why black holes are difficult for most of us to understand—comparing it to our inability to envisage our own inevitable death.Black holes develop in outer space when a massive star dies, and its matter is condensed. That extreme amount of mass contained in a small space generates a gigantic amount of gravitational force, allowing the black hole to suck up everything that comes near, including light. These astronomical wonders are the subject of our greatest scientific and philosophical theorizing—the journey to a black hole would be the journey to the end of time itself. In this way, Falcke regards them as the most exquisite representations of fear, death . . . and, surprisingly, the divine.Empirical and profound, A Light in the Darkness is the first work to examine both the physical nature and spiritual meaning of black holes, those astrophysical mysteries Falcke, calls “the epitome of merciless destruction.”

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    Gardner's illuminating autobiography is a candid self-portrait by the man evolutionary theorist Stephen Jay Gould called our single brightest beacon for the defense of rationality and good science against mysticism and anti-intellectualism.Gardner takes readers from his childhood in Oklahoma to his varied and wide-ranging professional pursuits. He shares colorful anecdotes about the many fascinating people he met and mentored, and voices strong opinions on the subjects that matter to him most, from his love of mathematics to his uncompromising stance against pseudoscience. For Gardner, our mathematically structured universe is undiluted hocus-pocus--a marvelous enigma, in other words.Undiluted Hocus-Pocus offers a rare, intimate look at Gardner's life and work, and the experiences that shaped both.