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

    With the assistance of a co-author, this popular student textbook has now been updated to include techniques such as membrane chromatography, aqueous phase partitioning, engineering recombinant proteins for purification and due to the rapid advances in bioinformatics/proteomics a discussion of the analysis of complex protein mixtures by 2D-electrophoresis and RPHPLC prior to sequencing by mass spectroscopy. Written with the student firmly in mind, no previous knowledge of biochemistry, and little of chemistry, is assumed. It is intended to provide an introduction to enzymology, and a balanced account of all the various theoretical and applied aspects of the subject which are likely to be included in a course.

    The tipping point, Mirbat, South Oman, 19 July 1972 is one of the least-known yet most crucial battles of modern times. If the SAS had been defeated at Mirbat, the Russian and Chinese plan for a communist foothold in the Middle East would have succeeded, with catastrophic consequences for the oil-hungry West. OPERATION STORM is a page-turning account of courage and resilience. Mirbat was a battle fought and won by nine SAS soldiers and a similar number of brave local people - some as young as ten years old - outnumbered by at least twenty-five to one. Roger Cole, one of the SAS soldiers who took part, and writer Richard Belfield have interviewed every SAS survivor who fought in the battle from the beginning to the end - the first time every single one of them has revealed their experience. OPERATION STORM is a classic story of bravery against impossible odds, minute by minute, bullet by bullet.

    has been involved in some of the most sensational cases of our time. Now Grave Secrets takes you on a personal tour behind the scenes of these notorious incidents-touching on cases as varied as O.J. Simpson, Vincent Foster, and even the much-publicized "Alien Autopsy." Through shocking eyewitness testimony and crucial findings of facts, Cyril Wecht's expert opinion is sure to enlighten and fascinate true crime fans everywhere! � Newly updated for paperback! br� GRAVE SECRETS provides controversial and stunning revelations, such as: br� Evidence pointing to a second killer in the O.J. Simpson murder case br� Whether or not White House counselVincent Foster really committed suicide br� Why the secrets surrounding the "Alien Autopsy" continue to elude the public br� Cyril Wecht has provided expert commentary on "20/20," "Nightline," "The Larry King Show," and news specials with Dan Rather, Geraldo Rivera, Tom Snyder, and Maury Povich br� Cyril Wecht is the former president of both the American Academy of Forensic Science and the American College of Legal Medicine br� Contains 8 pages of compelling photos

    Runaway climate change, the sixth great extinction of planetary life, the acidification of the oceans—all point toward an era of unprecedented turbulence in humanity’s relationship within the web of life. But just what is that relationship, and how do we make sense of this extraordinary transition? Anthropocene or Capitalocene? offers answers to these questions from a dynamic group of leading critical scholars who challenge the conventional practice of dividing historical change and contemporary reality into “Nature” and “Society,” demonstrating the possibilities offered by a more nuanced and connective view of human environment-making, joined at every step with and within the biosphere. In distinct registers, the authors frame their discussions within a politics of hope that signal the possibilities for transcending capitalism, broadly understood as a “world-ecology” that joins nature, capital, and power as a historically evolving whole.

    Each of the nine stories in this brief reader chronicles the dramatic adventures of an influential zoologist, geologist, paleontologist, or geneticist on their path to some of the most important discoveries that have shaped our understanding of how life has evolved. Accessible and engaging, Carroll's storytelling approach helps students appreciate the physical hardships the featured explorers endured and the obstacles they had to overcome in challenging societal belief systems and initiating paradigm shifts in the scientific community. In reading the tales, students will also come to understand the frequent role of serendipity in scientific discovery. Key Topics: Reverend Darwin's Detour, Drawing a Line between Monkeys and Kangaroos, Life Imitates Life, Java Man, Where the Dragon Laid Her Eggs, The Day the Mesozoic Died, Miss Latimer's Extraordinary Fish, A Sickle-Cell Safari, In Cold Blood: The Tale of the Icefish, General Review and Discussion, Sources and Further Reading Market: Intended for those in learning the basics of evolutionary biology.

    Michael Baden's first-person, no-holds-barred account of his distinguished career in forensic pathology. In determining the causes of tens of thousands of deaths, from those of presidents and rock stars to victims of serial killings, exotic sex rituals, mass disasters, child abuse and drug abuse, Baden has come to the unavoidable conclusion that the search for scientific truth is often sullied by the pressures of expediency. He produces dramatic evidence to demonstrate that political intrigue, influence peddling, and professional incompetence have created a national crisis in forensic medicine.

    America’s demand for change in the 2008 election will cause another of our country’s periodic political makeovers. This realignment, like all others before it, will result from the coming of age of a new generation of young Americans—the Millennial Generation—and the full emergence of the Internet-based communications technology that this generation uses so well. Beginning in 2008, almost everything about American politics and government will transform—voting patterns, the fortunes of the two political parties, the issues that engage the nation, and our government and its public policy. Building on the seminal work of previous generational theorists,Morley Winograd and Michael D. Hais demonstrate and describe, for the first time, the two types of realignments—“idealist” and “civic”—that have alternated with one another throughout the nation’s history.  Based on these patterns, Winograd and Hais predict that the next realignment will be very different from the last one that occurred in 1968. “Idealist” realignments, like the one put into motion forty years ago by the Baby Boomer Generation, produce, among other things, a political emphasis on divisive social issues and governmental gridlock. “Civic” realignments, like the one that is coming, and the one produced by the famous GI or “Greatest” Generation in the 1930s, by contrast, tend to produce societal unity, increased attention to and successful resolution of basic economic and foreign policy issues, and institution-building. The authors detail the contours and causes of the country’s five previous political makeovers, before delving deeply into the generational and technological trends that will shape the next.  The book’s final section forecasts the impact of the Millennial Makeover on the elections, issues, and public policies that will characterize America’s politics in the decades ahead. For additional information go to:Millennial Makeover website.

    In recent years, opponents of "Darwin’s dangerous idea" have mounted history’s most sophisticated and generously funded attack, claiming that evolution is "a theory in crisis." Ironically, these claims are being made at a time when the explosion of information from genome projects has revealed the most compelling and overwhelming evidence of evolution ever discovered. Much of the latest evidence of human evolution comes not from our genes, but from so-called "junk DNA," leftover relics of our evolutionary history that make up the vast majority of our DNA. Relics of Eden explores this powerful DNA-based evidence of human evolution. The "relics" are the millions of functionally useless but scientifically informative remnants of our evolutionary ancestry trapped in the DNA of every person on the planet. For example, the analysis of the chimpanzee and Rhesus monkey genomes shows indisputable evidence of the human evolutionary relationship with other primates. Over 95 percent of our genome is identical with that of chimpanzees and we also have a good deal in common with other animal species. Author Daniel J. Fairbanks also discusses what DNA analysis reveals about where humans originated. The diversity of DNA sequences repeatedly confirms the archeological evidence that humans originated in sub-Saharan Africa (the "Eden" of the title) and from there migrated through the Middle East and Asia to Europe, Australia, and the Americas. In conclusion, Fairbanks confronts the supposed dichotomy between evolution and religion, arguing that both science and religion are complementary ways to seek truth. He appeals to the vast majority of Americans who hold religious convictions not to be fooled by the pseudoscience of Creationists and Intelligent Design advocates and to abandon the false dichotomy between religion and real science. This concise, very readable presentation of recent genetic research is completely accessible to the nonspecialist and makes for enlightening and fascinating reading.

    The world you live in is stranger than fiction... as you read this, you exist in other places at the same time. Do not regret having missed the chance to realize your dreams, for you may just have fulfilled it in another universe.. * Are the trillions of atoms that make you, nothing but vibrations in 10 dimensions?* Is it true that we are all connected with each other?* Can you go into the future to change the present?* Why do scientists and philosophers struggle with the concept of Time?* Can science explain consciousness through physics?* Is our fate driven by the underlying randomness in nature?* Is nature hiding the best-kept secrets which can never be unravelled by humans?The Speed of Time approaches the most complex and esoteric theories of science in lucid, clear and simple language and in the style of a thriller, leaving you wanting more... while addressing questions through the enigmatic theories in Physics such as Quantum Mechanics, Einstein's Theory of Relativity, Time, Chaos, and much more. Just start reading and you will not put it down.

    Just ask biotechnologist Matti Leisola. It all started when a student loaned the Finnish scientist a book criticizing evolutionary theory. Leisola reacted angrily, and set out to defend evolution, but found his efforts raised more questions than they answered. He soon morphed into a full-on Darwin skeptic, even as he was on his way to becoming a leading bio-engineer.Heretic is the story of Leisola's adventures making waves-and many friends and enemies-at major research labs and universities across Europe. Tracing his investigative path, the book draws on Leisola's expertise in molecular biology to show how the evidence points more strongly than ever to the original biotechnologist-a designing intelligence whose skill and reach dwarf those of even our finest bioengineers, and leave blind evolution in the dust.Endorsements "Award-winning Finnish biotechnologist Matti Leisola has written a fascinating account of what happens when a scientist follows the evidence wherever it leads. Leisola's account of how he succeeded should inspire up-and-coming scientists who face the same challenge." Biologist Jonathan Wells, PhD, author of Icons of Evolution and Zombie Science "Scientists, like all other intellectuals, have ideas about what constitutes and what does not constitute reality. However, they are often not aware-and sometimes not ready to admit-that such ideas represent the principles of their philosophy. Leisola and Witt's Heretic is a unique first-hand account of the life-long adventures of a scientist who dared to challenge philosophical principles of colleague scientists. In my opinion, the outcome shows that to many scientists their philosophy is dearer than their science." Biochemist and inventor Branko Kozulic, PhD "This book is an exciting story about how a scientist's relentless search for truth makes him a heretic in the eyes of a cultural community more concerned about prestige than principle." Tapio Puolimatka, PhD and EdD, University of Jyvaskyla, Finland "This book is a personal, strong, and motivated plea for intelligent design (ID) and 'swims against the current' of Darwinian evolution, now generally accepted in scientific circles and society. I personally do not endorse ID, but I am a good friend of the author, whom I also highly respect as a scientist active in academia and in the biotech industry over so many years. Heretic inspires readers to think critically and to open up a civilized discussion on neo-Darwinism versus ID. It covers the science and philosophical parts adequately; it is accessible to a large readership; and statements are underpinned by relevant research and literature data. Its value lies in the author's lifelong engagement and personal crusade to stimulate the public debate among scientists as well as laymen over Darwinism (chance/random mutation and natural selection) versus ID, a vision that Leisola strongly advocates." Dr. Erick J. Vandamme, Emeritus Professor of Bioscience Engineering, Ghent University, Belgium "Matti Leisola has written the exciting story of almost the entire spectrum of aberrant motives, absurd fears, and unreasonable reactions to intelligent design (ID) by evolutionary scientists, clergymen, and church institutions alike, notably during his career as a scientist over the last some forty years. I would add a word on the fears of so many critics that accepting ID also means accepting the dogmata of some 1700 years of church history. ID is thoroughly neutral concerning such topics. So, the reader is invited to carefully check the historical and, what is more, the enormous wealth of scientific data Matti Leisola has presented in the present book: Test them carefully with an open mind and form your own independent opinion!" Dr. Wolf-Ekkehard Lonnig, geneticist, Cologne,

    How is it that Homo sapiens formed such a special relationship with what, on the face of it, is a most unlikely ally? It is more than just a story of domestication but an astonishing example of the co-evolution of two species, man and wolf, to each others' mutual benefit. This co-evolution was a vital step in helping Homo sapiens overcome competition from other human species and to expand in numbers from relative obscurity on the margins towards the overwhelming numerical superiority and influence that we enjoy today. The book draws on the rich scientific detail of the genomes, both dog and human, that has accumulated over the past two decades. In each case we see a clear pattern of the origins of both species, resolving questions that have puzzled scientists for centuries. Sykes explores the breadth of this `special relationship' between man and dog. We know that dogs descend from wolves. We know that their domesticated descendants form close bonds with ourselves and there are a multitude of theories to account for our compatible social organisations. But to a geneticist, this is nowhere near powerful enough to explain this most peculiar situation. Many theories explore what it was that propelled Homo sapiens from the position of a scarce, medium-sized primate to the position of complete domination that we enjoy today. The ability to control fire, the evolution of language and the invention of agriculture are three prominent examples. Sykes crucially adds a fourth: our transformation of the wolf into the multi-purpose helpmate that is the dog. We owe our dominance and our survival to the dog.

    Modern science has overlooked this in order to maintain that we are at the pinnacle of our evolution. However, the halt in brain expansion explains not only recently uncovered anomalies within the human brain but also the global traditions of an earthly paradise lost and of humanity’s degeneration from our original state of perpetual wonder and joy. Drawing on more than 20 years of research, authors Tony Wright and Graham Gynn explore how our modern brains are performing far below their potential and how we can unlock our higher abilities and return to the euphoria of Eden. They explain how for millions of years early forest-dwelling humans were primarily consuming the hormone-rich sex organs of plants--fruit--each containing a highly complex biochemical cocktail evolved to influence DNA transcription, rapid brain development, and elevated neural and pineal gland activity. Citing recent neurological and psychological studies, the authors explain how the loss of our symbiotic fruit-based diet led to a progressive neurodegenerative condition characterized by aggressive behaviors, a fearful perception of the world, and the suppression of higher artistic, mathematical, and spiritual abilities. The authors show how many shamanic and spiritual traditions were developed to counteract our decline. They outline a strategy of raw foods, tantric sexuality, shamanic practices, and entheogen use to reverse our degeneration, restore our connection with the plant world, and regain the bliss and peace of the brain of Eden.

    By looking at massacres in schools and offices as post-industrial rebellions, Mark Ames is able to juxtapose the historical place of rage in America with the social climate after Reaganomics began to effect worker's paychecks. But why high schools? Why post offices? Mark Ames examines the most fascinating and unexpected cases, crafting a convincing argument for workplace massacres as modern day slave rebellions. Like slave rebellions, rage massacres are doomed, gory, sometimes inadvertently comic, and grossly misunderstood. Going Postal seeks to contextualize this violence in a world where working isn't—and doesn’t pay—what it used to. Part social critique and part true crime page-turner, Going Postal answers the questions asked by commentators on the nightly news and films such as Bowling for Columbine.

    Orwell gives an anecdotal account of his experiences in a french public hospital which triggers a contemplation of hospital literature in the context of 19th-century medicine.