In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    It tells the story of two parents from different cultural, linguistic, and ethnic-racial backgrounds who joined to raise their two children with their heritage languages outside their native countries. It also tells the children's story and the way they negotiated three cultures and languages and developed a trilingual identity. It sheds light on how parental support contributed to the children's simultaneous acquisition of three languages in an environment where the main input of the two heritage languages came respectively from the father and from the mother. It addresses the challenges and the unique language developmental characteristics of the two children during their trilingual acquisition process.

    Real true crime is not for everyone. The stories in this book represent humanity at its absolute worst. Pure evil. Television crime shows and news articles often skip the gruesome parts of true crime stories. The real details are just too grisly for the average viewer or reader.In my books, however, I do my best to include the details, regardless of how unsettling they may be. Each story requires hours of research. I search through old newspaper articles, court documents, police reports, autopsy results, and first-hand descriptions. Some of the specifics can be disconcerting. I choose to include the details not to shock, but to give the reader a deeper view into the mind of the killer. Although it’s unlikely any of us will understand the motives of a diabolical monster, the level of depravity will keep you turning pages.That being said, if you are overly squeamish about the details of true crime, this book may not be for you. If you’re okay with it… then let’s begin.Volume 7 features: Longer stories, more photos, a bonus chapter, and an online appendix with additional photos, videos, and documents. Volume 7 of True Crime Case Histories features twelve new stories from the past fifty years.A sampling of the stories include:You’ll read about a law enforcement officer that took advantage of the trust associated with his uniform. His brutal reign of terror lasted eight years. It took the bravery of two young women that escaped his grasp to bring him down.There’s the story of the recent law school graduate with a crush on his neighbor. Rather than asking her out on a date, he stalked and spied on his classmate, eventually taking her life. There’s also the heartbreaking story of a single mom, drowning in debt, that did the unthinkable for insurance money.Seven of the stories in this book feature women killers, two of which took the time to meticulously dismember their victims—a task that can take great strength. Another woman manipulated her two teenage boys into killing for her. Yet another woman staged an elaborate hoax to get rid of her loving husband rather than go through the agony of a messy divorce.You’ll also read of a sadistic group of up to twelve killers that took joy in abducting and torturing young men in Australia. Sadly, only one of the mysterious group has been brought to justice.Plus many more disturbing stories.The twelve stories in this volume are shocking and disturbing, but they’re true. These things really happen in the world. We may never understand why killers do what they do, but at least we can be better informed. You may have heard of a few of the stories in this volume, but there are several I’m almost certain you haven’t.

    In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups” with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic” symmetries that may explain the very existence of the universe.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    Finished only weeks before his death in 1994, it is the self-portrait of one of this century's most original and influential intellectuals.Trained in physics and astronomy, Feyerabend was best known as a philosopher of science. But he emphatically was not a builder of theories or a writer of rules. Rather, his fame was in powerful, plain-spoken critiques of "big" science and "big" philosophy. Feyerabend gave voice to a radically democratic "epistemological anarchism:" he argued forcefully that there is not one way to knowledge, but many principled paths; not one truth or one rationality but different, competing pictures of the workings of the world. "Anything goes," he said about the ways of science in his most famous book, Against Method. And he meant it.Here, for the first time, Feyerabend traces the trajectory that led him from an isolated, lower-middle-class childhood in Vienna to the height of international academic success. He writes of his experience in the German army on the Russian front, where three bullets left him crippled, impotent, and in lifelong pain. He recalls his promising talent as an operatic tenor (a lifelong passion), his encounters with everyone from Martin Buber to Bertolt Brecht, innumerable love affairs, four marriages, and a career so rich he once held tenured positions at four universities at the same time.Although not written as an intellectual autobiography, Killing Time sketches the people, ideas, and conflicts of sixty years. Feyerabend writes frankly of complicated relationships with his mentor Karl Popper and his friend and frequent opponent Imre Lakatos, and his reactions to a growing reputation as the "worst enemy of science."

    Holland dramatically shows us that the “emergence” of order from disorder has much to teach us about life, mind and organizations. Creative activities in both the arts and the sciences depend upon an ability to model the world. The most creative of those models exhibits emergent properties, so that “what comes out is more than what goes in.” From the ingenious checkers-playing computer that started beating its creator in game after game, to the emotive creations of the poet, Emergence shows that Holland’s theory successfully predicts many complex behaviors in art and science.

    Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    Polanyi, originally a chemist and chemical physicist, is widely acclaimed for his epistemology which opposes the prevailing positivist approaches. His discussion of tacit knowledge has proved to be influential in many fields from theology to artificial intelligence. This text represnts a contribution to 20th-century thought, and continues to make valuable insights to our understanding of how knowledge functions.

    It remains the one of the most widely read books about science to come out of the twentieth century.(Note: the book was first published in 1934, in German, with the title Logik der Forschung. It was "reformulated" into English in 1959. See Wikipedia for details.)

    Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the sum of 1 + 1/2 + 1/3 + . . . Up to 1/n, minus the natural logarithm of n--the numerical value being 0.5772156. . . . But unlike its more celebrated colleagues π and e, the exact nature of gamma remains a mystery--we don't even know if gamma can be expressed as a fraction. Among the numerous topics that arise during this historical odyssey into fundamental mathematical ideas are the Prime Number Theorem and the most important open problem in mathematics today--the Riemann Hypothesis (though no proof of either is offered!). Sure to be popular with not only students and instructors but all math aficionados, Gamma takes us through countries, centuries, lives, and works, unfolding along the way the stories of some remarkable mathematics from some remarkable mathematicians.-- "Notices of the American Mathematical Society"