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

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    QFT is the only physics theory that makes sense and that dispels or resolves the paradoxes of relativity and quantum mechanics that have confused and mystified so many people.

    People need cheering up. I have the answer. ‘Pills, Thrills and Methadone Spills: Adventures of a Community Pharmacist’ is a collection of the best blogs, tweets and anecdotes about the wonderful world of pharmacy.“If the shutter is three quarters down, then we are shut and not just vertically challenged”...“Gave me huge insight into the ‘real’ world of community pharmacy – I didn’t realise just how much pharmacists deal with on a day to day basis, so for me this was very informative, but in a reallyclever, and massively funny way!” Lucy Pitt, Marketing Manager, The Pharmacy Show“As well as being brilliantly funny, this book is a refreshingly honest view of the world of pharmacy. From student pharmacists to the fully-qualified, every chapter provides a story that the reader can relate to and enjoy.” Georgia Salter, Pharmacy Student“A well observed reflection of life in pharmacy with very funny reflections” Catherine Duggan, Royal Pharmaceutical Society"It is always fun to be reminded that pharmacists' perils and fun at the workplace are similar irrespective of which country we practise in!" Selina Hui-Hoong Wee , Pharmacist, Malaysia“A great entertaining and amusing read" Mike Holden, Chief Executive, National Pharmacy AsociationThanks to Laura Martins for her initial book cover design!

    Some of the objects are described by future historians; others through found materials, short stories, or dialogues. All come from a very real future.

    Everything around us, including matter, is energy. A deep look into the mysteries of the subatomic world – the particles that make up the atom – provides answers to basic questions about how the universe works. To solve the future of mankind’s energy needs we need to understand the basic building blocks of the universe, including the atom and its parts. By exploring the subatomic world we’ll find more answers to our questions about time, forces like gravity and the matter that surrounds us. More importantly, we’ll find new ways to tap into the energy that exists around us to power our growing needs. In a new branch of particle physics, where tiny particles are thought of as energy waves, we find new answers that may help us in our quest to find alternative energy sources.

    

    In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

    An extremely clever account.--The New Yorker.

    As educational leaders around the world implement Leverage Leadership ideas, their collective stories have revealed a simple framework by which the seven levers may be implemented: See It, Name It, Do It. This book aligns classic Leverage Leadership principles with this proven framework to streamline implementation and help good leaders become great. Expert discussion and real-life success stories prove that effective leadership is not about innate charisma, charm, or personality--it's about how a leader uses their time.Aimed at all levels of school leadership, this book shows you what to do, and how and when to do it. The companion DVD includes 30 real-world videos that showcase effective leadership happening in our schools right now, and all templates, tools, and other professional development materials have been fully refreshed with a renewed focus on real-world implementation. Informational, inspirational, and highly motivational, this book explores both the separate components of success and what it looks like as a whole.Learn the core principles of effective leadership Understand what success looks like on the ground Practice the seven levers of leadership that allow transformational growth Adopt the tools and techniques that facilitate a schoolwide transformation Educational leaders from a diverse array of schools around the world have found unprecedented success using the key principles detailed in Leverage Leadership, and this book is inspired -- and informed -- by their stories. Leverage Leadership 2.0 is the practical resource school leaders need to start making real change happen today.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    Now, two science professors give us the tools to dismantle misinformation and think clearly in a world of fake news and bad data.It's increasingly difficult to know what's true. Misinformation, disinformation, and fake news abound. Our media environment has become hyperpartisan. Science is conducted by press release. Startup culture elevates bullshit to high art. We are fairly well equipped to spot the sort of old-school bullshit that is based in fancy rhetoric and weasel words, but most of us don't feel qualified to challenge the avalanche of new-school bullshit presented in the language of math, science, or statistics. In Calling Bullshit, Professors Carl Bergstrom and Jevin West give us a set of powerful tools to cut through the most intimidating data.You don't need a lot of technical expertise to call out problems with data. Are the numbers or results too good or too dramatic to be true? Is the claim comparing like with like? Is it confirming your personal bias? Drawing on a deep well of expertise in statistics and computational biology, Bergstrom and West exuberantly unpack examples of selection bias and muddled data visualization, distinguish between correlation and causation, and examine the susceptibility of science to modern bullshit.We have always needed people who call bullshit when necessary, whether within a circle of friends, a community of scholars, or the citizenry of a nation. Now that bullshit has evolved, we need to relearn the art of skepticism.

    So it's not surprising that we persist in thinking that we're in with a chance, whether we're playing the lottery or working out the likelihood of extra-terrestrial life. In Chance, a (not entirely) random selection of the New Scientist's sharpest minds provide fascinating insights into luck, randomness, risk and probability. From the secrets of coincidence to placing the perfect bet, the science of random number generation to the surprisingly haphazard decisions of criminal juries, it will explore these, and many other, tantalising questions.Following on from the bestselling Nothing and Question Everything, this book will open your eyes to the weird and wonderful world of chance - and help you see when some things, in fact, aren't random at all.

    AI is all the rage, and the buzziest AI buzz surrounds adaptive machine learning computer systems that learn intelligent behavior from massive amounts of data. This is what powers a driverless car, for example. In this book, Hector Levesque shifts the conversation to -good old fashioned artificial intelligence, - which is based not on heaps of data but on understanding commonsense intelligence. This kind of artificial intelligence is equipped to handle situations that depart from previous patterns -- as we do in real life, when, for example, we encounter a washed-out bridge or when the barista informs us there's no more soy milk.Levesque considers the role of language in learning. He argues that a computer program that passes the famous Turing Test could be a mindless zombie, and he proposes another way to test for intelligence -- the Winograd Schema Test, developed by Levesque and his colleagues. -If our goal is to understand intelligent behavior, we had better understand the difference between making it and faking it, - he observes. He identifies a possible mechanism behind common sense and the capacity to call on background knowledge: the ability to represent objects of thought symbolically. As AI migrates more and more into everyday life, we should worry if systems without common sense are making decisions where common sense is needed.

    K. C. Cole's "Fun with Physics" is a profile of astrophysicist Janet Conrad that blends her personal life with professional activity. In "Desperate Measures," the doctor and writer Atul Gawande profiles the surgeon Francis Daniels Moore, whose experiments in the 1940s and '50s pushed medicine harder and farther than almost anyone had contemplated. Also included is a poem by the legendary John Updike, "Mars as Bright as Venus." The collection ends with Diane Ackerman's "ebullient" essay "We Are All a Part of Nature."Together these twenty-three articles on a wide range of today's most current topics in science -- from biology, physics, biotechnology, and astronomy, to anthropology, genetics, evolutionary theory, and cognition‚ represent the full spectrum of scientific writing from America's most prominent science authors, proving once again that "good science writing is evidently plentiful" (Scientific American).