This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.

    of Maryland School of Medicine), offers case histories of the health problems of a dozen long-dead famous figures diagnosed from modern medical perspectives. Illustrations depict patients including the odd-looking Pharaoh Akhenaten, C

    With reference to the Indian scene.

    In the West particularly, sizable tomes have been composed speculating upon the nature and historical background of one of the main characters of Western religions, Jesus Christ. Many have tried to dig into the precious few clues as to Jesus's identity and come up with a biographical sketch that either bolsters faith or reveals a more human side of this godman to which we can all relate. Obviously, considering the time and energy spent on them, the subjects of Christianity and its legendary founder are very important to the Western mind and culture, and increasingly to the rest of the world as well.Despite all of this literature continuously being cranked out and the significance of the issue, in the public at large there remains a serious lack of formal and broad education regarding religion and mythology, and most individuals are highly uninformed in this area. Concerning the issue of Christianity, for example, the majority of people are taught in most schools and churches that Jesus Christ was an actual historical figure and that the only controversy regarding him is that some people accept him as the Son of God and the Messiah, while others do not. However, whereas this is the raging debate most evident in this field today, it is not the most important. Shocking as it may seem to the general populace, the most enduring and profound controversy in this subject is whether or not a person named Jesus Christ ever really existed.ContentsIntroductionThe ControversyHistory and Positions of the Debate"Pious Fraud"The ProofThe GnosticsBiblical SourcesNon-Biblical SourcesThe CharactersThe Major PlayersBuddhaBuddha's BirthBuddhist CrucifixionHorus of EgyptMithra, Sun God of PersiaMithra's "Virgin" Birth?Mithra and the TwelveKrishna of IndiaKrishna's "Virgin" Birth?The Names of Krishna and ChristKrishna's Solar NaturePrometheus of GreeceThe Creation of a MythThe "Son" of God is the "Sun" of GodEtymology Tells the StoryThe Book of Revelation is Egyptian and ZoroastrianThe "Patriarchs" and "Saints" are the Gods of Other CulturesThe "Disciples" are the Signs of the ZodiacWas Jesus an Essene Master?Qumran is Not an Essene CommunityWas the New Testament Composed by Therapeuts?ConclusionBibliographyEndnotes

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    This volume is comprised of the years 1900 through 1959, and includes all of the best known cases of the period, as well as many more lesser-known murders, all presented in a compelling chronological narrative that takes the reader on a grisly journey through the blood-soaked avenues of early twentieth century crime. Featuring: The Peasenhall Murder. The Seal Chart Murder. The Atlanta Ripper. The Villisca Axe Murders. The Axeman of New Orleans. The Green Bicycle Case. Little Lord Fauntleroy. Hinterkaifeck Farm. The St. Aubin Street Massacre. The Wallace Case. The Atlas Vampire. The Brighton Trunk Crime. The Cleveland Torso Murderer. The Horror in Room 1046. Who Put Bella in the Wych Elm? The Pitchfork Murder. The Sodder Children. The Phantom Killer. The Black Dahlia. Somerton Man. The Grimes Sisters. The Boy in the Box. And Much More!

    For almost a century they defied classification; they outwitted hunters and escaped trappers, left the public elbowing and zoo turnstiles spinning, were sent on diplomatic journeys, branded onto products and turned into company logos. Thanks to the World Wide Fund for Nature this species became the face of global conservation. Yet in spite of humankind’s evident obsession with the giant panda, it is only in the last few decades that scientific research has begun to show us what this mysterious, frequently misunderstood creature is really like.Henry Nicholls uses the rich and curious history of the giant panda to do several things: to ponder our changing attitudes towards the natural world; to offer a compelling history of the conservation movement; and to chart the rise of modern China on its journey to become the self-sufficient, twenty-first-century superpower it is today.

    Dumb crooks, celebrities gone bad, unsolved mysteries, odd laws, and more—Strange Crime has plenty of stories that will make you ask yourself, “What could they possibly have been thinking?” This easily portable paperback book is ideal for readers on the go. Take it to school, to work, to jury duty!

    This is the amazing story of how the "map problem" was solved.The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm.Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.

    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.

     Beginning in what is now Kansas City he joined a caravan headed for Bent’s Fort in southeastern Colorado near the Spanish Peaks, which was known to the Native Americans as Wah-to-Yah. Just before Garrard had arrived in the southwest Charles Bent, who was the recently appointed Governor of the newly acquired New Mexico Territory, was scalped and killed by Pueblo warriors during the Taos Revolt. Garrard’s account is therefore a vivid first-hand account of the Taos Revolt and its aftermath. Through the course of Wah-to-yah and the Taos Trail Garrard explains how he came into contact with some of the most famous figures of western history, including Kit Carson, Jim Beckwourth, Ceran St. Vrain, George F. Ruxton, William Bent, and others. Scholars like Robert Gale have highlighted how the book provides “anthropologically accurate” descriptions of the Cheyenne Indians and other Native American tribes in the southwest of America. This book is essential reading for anyone interested in the history of the old west, for as the Pulitzer Prize winning author A. B. Guthrie Jr. stated, it is “the genuine article” and brilliantly depicts “the Indian, the trader, the mountain man, their dress, and behavior and speech and the country and climate they lived in.” Lewis Hector Garrard was the son of a prominent family from Cincinnati, Ohio. In 1846 he set out for a ten-month trip to the southwestern United States. While in Taos, Garrard attended the trial of some of the Mexicans and Pueblos who had revolted against U.S. rule of New Mexico, newly captured in the Mexican-American War. Garrard wrote the only eye witness account of the trial and hanging of six convicted men. His book Wah-to-Yah was first published in 1850 and he passed away in 1887.

    He decried the internment of Japanese-Americans in World War Two, agitated against nuclear weapons, promoted vitamin C as a cure for the common cold and researched the idea of DNA.

    Maisel, Monk) calmly tells the tale of how the ancient Greeks formalized the study of mathematics based on Phoenician teachings. Bedtime stories are narrated by the world’s most celebrated voices and written with no beginning, middle, or end so you don’t stay up to hear what happens next. They're interesting enough to give your mind something to focus on, but delivered in a way that encourages sleep. This title is part of the Audible Sleep Collection, exclusive audio experiences created to invite relaxation and sleep. New and free for members.Public Domain (P)2020 Audible

    . .he believes these ideas to be accessible to the audience he wantsto reach, and he writes so that they are. -- NatureIf you want to encourage anyone's interest in math, get them TheMathematical Universe. * New Scientist