Problems Plus In Iit Mathematics
A. Das Gupta
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 Amazing Story of Quantum Mechanics: A Math-Free Exploration of the Science that Made Our World
James Kakalios - 2010
Using illustrations and examples from science fiction pulp magazines and comic books, The Amazing Story of Quantum Mechanics explains the fundamental principles of quantum mechanics that underlie the world we live in.Watch a Video
The Undivided Universe: An Ontological Interpretation of Quantum Theory
David Bohm - 1993
They develop an interpretation of quantum mechanics which gives a clear, intuitive understanding of its meaning and in which there is a coherent notion of the reality of the universe without assuming a fundamental role for the human observer. With the aid of new concepts such as active information together with non-locality, they provide a comprehensive account of all the basic features of quantum mechanics, including the relativistic domain and quantum field theory. It is shown that, with the new approach, paradoxical or unsatisfactory features associated with the standard approaches, such as the wave-particle duality and the collapse of the wave function, do not arise. Finally, the authors make new suggestions and indicate some areas in which one may expect quantum theory to break down in a way that will allow for a test. The Undivided Universe is an important book especially because it provides a different overall world view which is neither mechanistic nor reductionist. This view will ultimately have radical implications not only in physics but also in our general approach to all areas of life.
The Universe Within: From Quantum to Cosmos
Neil Turok - 2012
Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress.
The Last Man Who Knew Everything: Thomas Young, the Anonymous Polymath Who Proved Newton Wrong, Explained How We See, Cured the Sick, and Deciphered the Rosetta Stone, Among Other Feats of Genius
Andrew Robinson - 2005
Relates the life of the remarkable man who made major contributions in such fields as physics, languages, and music, describing how he proposed the light-wave theory and the three-color theory of vision, and was instrumental in the deciphering of the Rosetta Stone.
Do You QuantumThink?: New Thinking That Will Rock Your World
Dianne Collins - 2011
We're all looking for new ways of thinking that can bring about real solutions to modern problems, from the pursuit of inner serenity to solving world conflicts. In Do You QuantumThink? author Dianne Collins shares her ingenious discovery that reveals a critical missing link to make sense of our changing times. Her discovery provides us with the understanding and methodology to rise above problems of today by laying the foundation for an entirely new way to think.Part science, part philosophy, part spirituality, Do You QuantumThink? draws on a wide spectrum of sources, from cutting edge innovations in the sciences to the insights of the world's greatest spiritual leaders. This book will make you laugh, free you from limiting ideas, and introduce you to the most advanced principles and practical methods for living. Do You QuantumThink? will rock your world in the best of ways as you experience one revelation after another.
The Quantum Astrologer's Handbook
Michael Brooks - 2017
It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.
The Science of Human Nature: A Psychology for Beginners
William Henry Pyle - 1917
You can not study human nature from a book, you must study yourself and your neighbors. This book may help you to know what to look for and to understand what you find, but it can do little more than this. It is true, this text gives you many facts learned by psychologists, but you must verify the statements, or at least see their significance to you, or they will be of no worth to you. However, the facts considered here, properly understood and assimilated, ought to prove of great value to you. But perhaps of greater value will be the psychological frame of mind or attitude which you should acquire. The psychological attitude is that of seeking to find and understand the causes of human action, and the causes, consequences, and significance of the processes of the human mind. If your first course in psychology teaches you to look for these things, gives you some skill in finding them and in using the knowledge after you have it, your study should be quite worth while.
The Age of Entanglement: When Quantum Physics Was Reborn
Louisa Gilder - 2008
What happened during those years and what has happened since to refine the understanding of this phenomenon is the fascinating story told here.We move from a coffee shop in Zurich, where Einstein and Max von Laue discuss the madness of quantum theory, to a bar in Brazil, as David Bohm and Richard Feynman chat over cervejas. We travel to the campuses of American universities—from J. Robert Oppenheimer’s Berkeley to the Princeton of Einstein and Bohm to Bell’s Stanford sabbatical—and we visit centers of European physics: Copenhagen, home to Bohr’s famous institute, and Munich, where Werner Heisenberg and Wolfgang Pauli picnic on cheese and heady discussions of electron orbits.Drawing on the papers, letters, and memoirs of the twentieth century’s greatest physicists, Louisa Gilder both humanizes and dramatizes the story by employing their own words in imagined face-to-face dialogues. Here are Bohr and Einstein clashing, and Heisenberg and Pauli deciding which mysteries to pursue. We see Schrödinger and Louis de Broglie pave the way for Bell, whose work is here given a long-overdue revisiting. And with his characteristic matter-of-fact eloquence, Richard Feynman challenges his contemporaries to make something of this entanglement.
A Passion for Wisdom: A Very Brief History of Philosophy
Robert C. Solomon - 1997
Here, Robert Solomon and Kathleen Higgins tell the story of philosophy's development with great clarity and refreshing wit. The authors begin with the most ancient religious beliefs of the east and west and bring us right up to the feminist and multicultural philosophies of the present. Along the way, they highlight major philosophers, from Plato and the Buddha to William James and Simone de Beauvoir, and explore major categories, from metaphysics and ethics to politics and logic. The book is enlivened as well by telling anecdotes and sparkling quotations. Among many memorable observations, we're treated to Thomas Hobbes' assessment that life is nasty, brutish, and short and Hegel's description of Napoleon as world history on horseback. Engaging, comprehensive, and delightfully written, A Passion for Wisdom is a splendid introduction to an intellectual tradition that reaches back over three thousand years.
Quantum Enigma: Physics Encounters Consciousness
Bruce Rosenblum - 2006
Can you believe that physical reality is created by our observation of it? Physicists were forced to this conclusion, the quantum enigma, by what they observed in their laboratories.Trying to understand the atom, physicists built quantum mechanics and found, to their embarrassment, that their theory intimately connects consciousness with the physical world. Quantum Enigma explores what that implies and why some founders of the theory became the foremost objectors to it. Schr�dinger showed that it absurdly allowed a cat to be in a superposition simultaneously dead and alive. Einstein derided the theory's spooky interactions. With Bell's Theorem, we now know Schr�dinger's superpositions and Einstein's spooky interactions indeed exist.Authors Bruce Rosenblum and Fred Kuttner explain all of this in non-technical terms with help from some fanciful stories and bits about the theory's developers. They present the quantum mystery honestly, with an emphasis on what is and what is not speculation.Physics' encounter with consciousness is its skeleton in the closet. Because the authors open the closet and examine the skeleton, theirs is a controversial book. Quantum Enigma's description of the experimental quantum facts, and the quantum theory explaining them, is undisputed. Interpreting what it all means, however, is controversial.Every interpretation of quantum physics encounters consciousness. Rosenblum and Kuttner therefore turn to exploring consciousness itself--and encounter quantum physics. Free will and anthropic principles become crucial issues, and the connection of consciousness with the cosmos suggested by some leading quantum cosmologists is mind-blowing.Readers are brought to a boundary where the particular expertise of physicists is no longer a sure guide. They will find, instead, the facts and hints provided by quantum mechanics and the ability to speculate for themselves.
Heisenberg's War: The Secret History of the German Bomb
Thomas Powers - 2000
. . [a] powerful book." -- New York Times One of the last secrets of World War II is why the Germans failed to build an atomic bomb. Germany was the birthplace of modern physics; it possessed the raw materials and the industrial base; and it commanded key intellectual resources. What happened? In Heisenberg's War, Thomas Powers tells of the interplay between science and espionage, morality and military necessity, and paranoia and cool logic that marked the German bomb program and the Allied response to it. On the basis of dozens of interviews and years of intensive research, Powers concludes that Werner Heisenberg, who was the leading figure in the German atomic effort, consciously obstructed the development of the bomb and in a famous 1941 meeting in Copenhagen with his former mentor Neils Bohr in effect sought to dissuade the Allies from their pursuit of the bomb. Heisenberg's War is a "superbly researched and well-written book" (Time) whose extraordinary story engrosses-and haunts.
JFK: History In An Hour
Sinead Fitzgibbon - 2012
But, barely one thousand days into his Presidency, he was assassinated. JFK in an Hour provides a compelling and comprehensive overview of this man credited with introducing an aspirational new approach to American politics.Learn about the Kennedy family, the cast that propelled JFK to success despite family tragedy. Discover Kennedy’s talented diplomatic skills when navigating the Space Race, the nuclear missile crisis and his sympathies with the fledging civil rights movement. Learn about the man himself, the charming son, brother and husband, who maintained a charismatic public image, despite suffering from chronic illness all his life. JFK in an Hour provides key insight into why Kennedy epitomised the hopes of a new decade, and remains such an influential figure to this day.Love history? Know your stuff with History in an Hour…