Amazingly, the story unveiled in it is true.In the world of math, the Poincaré Conjecture was a holy grail. Decade after decade the theorem that informs how we understand the shape of the universe defied every effort to prove it. Now, after more than a century, an eccentric Russian recluse has found the solution to one of the seven greatest math problems of our time, earning the right to claim the first one-million-dollar Millennium math prize.George Szpiro begins his masterfully told story in 1904 when Frenchman Henri Poincaré formulated a conjecture about a seemingly simple problem. Imagine an ant crawling around on a large surface. How would it know whether the surface is a flat plane, a round sphere, or a bagel- shaped object? The ant would need to lift off into space to observe the object. How could you prove the shape was spherical without actually seeing it? Simply, this is what Poincaré sought to solve.In fact, Poincaré thought he had solved it back at the turn of the twentieth century, but soon realized his mistake. After four more years' work, he gave up. Across the generations from China to Texas, great minds stalked the solution in the wilds of higher dimensions. Among them was Grigory Perelman, a mysterious Russian who seems to have stepped out of a Dostoyevsky novel. Living in near poverty with his mother, he has refused all prizes and academic appointments, and rarely talks to anyone, including fellow mathematicians. It seemed he had lost the race in 2002, when the conjecture was widely but, again, falsely reported as solved. A year later, Perelman dropped three papers onto the Internet that not only proved the Poincaré Conjecture but enlightened the universe of higher dimensions, solving an array of even more mind-bending math with implications that will take an age to unravel. After years of review, his proof has just won him a Fields Medal--the 'Nobel of math'--awarded only once every four years. With no interest in fame, he refused to attend the ceremony, did not accept the medal, and stayed home to watch television.Perelman is a St. Petersburg hero, devoted to an ascetic life of the mind. The story of the enigma in the shape of space that he cracked is part history, part math, and a fascinating tale of the most abstract kind of creativity.

    HINTS SOLUTIONS of GRB PROBLEMS IN CALCULUS FOR JEE MAIN ADVANCED by Sameer Bansal

    Puzzlists need only an elementary knowledge of math and a will to resist looking up the answer before trying to solve a problem.Written in a light and witty style, Entertaining Mathematical Puzzles is a mixture of old and new riddles, grouped into sections that cover a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles, and more. The probability section, for example, points out that everything we do, everything that happens around us, obeys the laws of probability; geometry puzzles test our ability to think pictorially and often, in more than one dimension; while topology, among the "youngest and rowdiest branches of modern geometry," offers a glimpse into a strange dimension where properties remain unchanged, no matter how a figure is twisted, stretched, or compressed.Clear and concise comments at the beginning of each section explain the nature and importance of the math needed to solve each puzzle. A carefully explained solution follows each problem. In many cases, all that is needed to solve a puzzle is the ability to think logically and clearly, to be "on the alert for surprising, off-beat angles...that strange hidden factor that everyone else had overlooked."Fully illustrated, this engaging collection will appeal to parents and children, amateur mathematicians, scientists, and students alike, and may, as the author writes, make the reader "want to study the subject in earnest" and explains "some of the inviting paths that wind away from the problems into lusher areas of the mathematical jungle." 65 black-and-white illustrations.

    Starting with the band's origins in Oxford, journalist Martin Clarke covers the essential points: Radiohead's breakout single "Creep," the pivotal album OK Computer, Thom Yorke's continuing political and artistic evolution, and the band's future. This revised edition includes a close look at how the band escaped the rock straightjacket with Kid A and Amnesiac , as well as their most recent album, Hail to the Thief . Clark also offers an in-depth examination of the outspoken, mysterious Yorke, offering insight into the personal demons the vocalist has battled throughout his career as Radiohead's frontman. An incisive look at one of the world's most beloved, followed musical acts, Radiohead: Hysterical and Useless provides stimulating coverage of a provocative group.

    Aloha Magnum is a chronicle of Larry Manetti's wild childhood, his crazy days in Hollywood, his moonlighting as a prominent restaurateur, and his escapades with the rich, famous, and equally outrageous.

    From these basics, they sought to understand the essential ingredients of the world. Those who could see further, those who understood that the four were just the beginning, were the last sorcerers ? and the world's first chemists.What we now call chemistry began in the fiery cauldrons of mystics and sorcerers seeking not to make a better world through science, but rather to make themselves richer through magic formulas and con games. But among these early magicians, frauds, and con artists were a few far-seeing alchemists who, through rigorous experimentation, transformed mysticism into science.By the 18th century the building blocks of nature, the elements of which all matter is composed, were on the verge of being discovery. Initially, it was not easy to determine whether a substance really was an element. Was water just water, plain and simple? Or could it be the sum of other (unknown and maybe unknowable) parts? And if water was made up of other substances, how could it be broken down into discreet, fundamental, and measurable components?Scientific historians generally credit the great 18th century French chemist Antoine Lavoisier with addressing these fundamental questions and ultimately modernizing the field of chemistry. Through his meticulous and precise work this chaotic new field of scientific inquiry was given order. Exacting by nature, Lavoisier painstakingly set about performing experiments that would provide lasting and verifiable proofs of various chemical theories. Unfortunately, the outspoken Lavoisier eventually lost his head in the Terror, but others would follow his lead, carefully examining, measuring, and recording their findings.As the field slowly progressed, another pioneer was to emerged almost 100 years later. Dimitri Mendeleev, an eccentric genius who cut his flowing hair and beard but once a year, sought to answer the most pressing questions that remained to chemists: Why did some elements have properties that resembled those of others? Were there certain natural groups of elements? And, if so, how many, and what elements fit into them? It was Mendeleev who finally addressed all these issues when he constructed the first Periodic Table in the late 1800s.But between and after Lavoisier and Mendeleev were a host of other colorful, brilliant scientists who made their mark on the field of chemistry. Depicting the lively careers of these scientists and their contributions while carefully deconstructing the history and the science, author Richard Morris skillfully brings it all to life. Hailed by Kirkus Reviews as a clear and lively writer with a penchant for down-to-earth examples Morris's gift for explanation ? and pure entertainment ? is abundantly obvious. Taking a cue from the great chemists themselves, Morris has brewed up a potent combination of the alluringly obscure and the historically momentous, spiked with just the right dose of quirky and ribald detail to deliver a magical brew of history, science, and personalities.

    ASIN: 0312295170

    * A large cross-section of organic reactions/mechanisms given with stereochemical implications. * Relationship between conformation and reactivity specially highlighted. * Instrumentation techniques relating to stereochemical investigation discussed in simple language.ABOUT THE BOOK:During recent years, stereochemistry has undergone a phenomenal growth both in theory and practice, with a concomitant increase of interest among the organic chemists, biological chemists, medicinal chemists, and pharmacologists. The present text provides an up-to-date, coherent, and comprehensive account of the subject starting from the fundamentals and leading up to the latest developments as far as practicable. Emphasis has been placed on a symmetry-based approach to molecular chirality, stereochemical terminologies (modern stereochemistry is replete with them), topicity and prostereoisomerism, conformational analysis, dynamic stereochemistry, chiroptical properties, and assignment of absolute configuration to chiral molecules. Dynamic stereochemistry has been discussed with reference to conformation-reactivity correlation, stereoselective synthesis, and pericyclic reactions. A large cross-section of organic reactions with stereochemical implication has been incorporated. Attempts have been made to familiarise the readers with modern instrumental techniques, nuclear magnetic resonance in particular, used for stereochemical investigation. Each chapter is provided with a summary which highlights the main points of the text. CONTENTS: * Molecular Geometry and Chemical Bonding * Molecular Symmetry and Chirality * Stereoisomerism: Definitions and Classifications * Stereoisomerism and Centre of Chirality * Stereoisomerism: Axial Chirality, Planar Chirality and Helicity * Topicity and Prostereoisomerism * Racemisation and Methods of Resolution * Determination of Configuration * Conformations of Acyclic Molecules * Conformations of Cyclic Systems: Monocyclic Compounds * Conformations of Cyclic Systems: Fused Ring and Bridged Ring Compounds * Dynamic Stereochemistry I: Conformation and Reactivity * Dynamic Stereochemistry II:Stereoselective Reactions * Dynamic Stereochemistry III:Pericyclic Reactions * Molecular Dissymmetry and Chiroptical Properties * Molecular Recognition: Chemical and Stereochemical AspectsREADERSHIP: * Graduate and postgraduate students of Chemistry courses * University and college libraries * Biochemists, Medical and Pharmacology students and other related professionalsNew Academic Science is a newly established Science, Technical and Medical publisher.We offer high level text and reference titles to the academic community. Written by leading scientists and academic professionals affiliated to prestigious institutions worldwide, our books bring into focus innovative research and the latest teaching theories and concepts. Some of the many areas we publish in include: -Electrical Engineering -Mechanical Engineering-Chemistry-Mathematics-Physics-Computer ScienceAbout the AuthorL.P. Singh, was a Professor in the Department of Electrical Engineering at Indian Institute of Technology, Kanpur. He obtained his Ph.D.degree in Electrical Engineering from I.I.T. Kanpur. Prof. Singh has got an experience of more than 40 years in teaching undergraduate as well as graduate classes in the areas of Electrical Science, Electrical Machines, Power System Analysis, Power System Dynamics, Advanced Protective Relaying, Power System Simulation and Modelling and Digital Protection etc. He has visited a number of reputed foreign universities and research organizations and has conducted seminars and has also worked as Research Associate at some places such as at BPAORE(USA). He has published more than 125 research papers in reputed international journals.

    While pure mathematics is mostly interested in abstract structures, applied mathematics sits at the interface between this abstract world and the world inwhich we live. This area of mathematics takes its nourishment from society and science and, in turn, provides a unified way to understand problems arising in diverse fields.This Very Short Introduction presents a compact yet comprehensive view of the field of applied mathematics, and explores its relationships with (pure) mathematics, science, and engineering. Explaining the nature of applied mathematics, Alain Goriely discusses its early achievements in physics andengineering, and its development as a separate field after World War II. Using historical examples, current applications, and challenges, Goriely illustrates the particular role that mathematics plays in the modern sciences today and its far-reaching potential.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.

    Dubbed the 'man in black', guitarist Ritchie Blackmore found fame with Seventies rock giants Deep Purple, then walked away from them to create Rainbow, only to abandon them and form another band in 1997 - Blackmore's Night.

    Brenda Maddox tells a powerful story of a remarkably single-minded, forthright, and tempestuous young woman who, at the age of fifteen, decided she was going to be a scientist, but who was airbrushed out of the greatest scientific discovery of the twentieth century.

    Indispensable reference for graduates and undergraduates.

    Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

    This text provides a thorough exposition of the principles of thermodynamics and details their application to chemical processes. The new edition has been updated to reflect the growth in such areas as materials and electrochemicals.

    A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.