To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    

     Offers extensively updated coverage, new problem sets, and chapter-ending material to enhance the book’s relevance to today’s engineers and scientists. Includes new problem sets demonstrating updated applications to engineering as well as biological, physical, and computer science. Emphasizes key ideas as well as the risks and hazards associated with practical application of the material. Includes new material on topics including: difference between discrete and continuous measurements; binary data; quartiles; importance of experimental design; “dummy” variables; rules for expectations and variances of linear functions; Poisson distribution; Weibull and lognormal distributions; central limit theorem, and data plotting. Introduces Bayesian statistics, including its applications to many fields. For those interested in learning more about probability and statistics.

    This is a book about how many of the 'big' philosophical and religious questions that have puzzled mankind for centuries can be answered by recent breakthroughs in science.

    Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    On a crisp winter morning, Richard, a successful, self-made CEO runs into Zoya, a quirky, free-spirited artist. The meeting leaves them struggling to find a balance between what they believe about life, and what is actually out there.What You Seek is Seeking You is a heart-warming tale about what happens when you are forced to question everything you ever knew to be true. Refreshingly honest, it helps you rethink some of your most fundamental beliefs – the ones that hold the very canvas of your life in place, but which in fact may be limiting you.Setting the scene with a lively fable, Azim & Brian share insightful and tangible ways to:• Invite Positive Coincidences and Attract What You Seek• Set Goals, Remain Focused and yet Stay Detached from the Outcome• Enhance Your Business AcumenBrian Tracy is one of the finest self-help speakers of all times, a bestselling author of 70 books and a human potential expert. He has consulted for more than 1,000 companies and has spoken to 5,000,000 people in 65 countries. Brian is the Chairman and CEO of Brian Tracy International and his goal is to help you achieve your personal and business goals faster and easier than you ever imagined.Azim Jamal is one of the finest inspirational life altering speakers who has spoken to more than 1,000,000 people worldwide in 26 countries and his various media messages have been heard by more than 5,000,000 people. He is the CEO and founder of Corporate Sufi Worldwide whose mission is to inspire individuals and corporations to unleash their power within and find harmony between Business, Balance and Beyond.

    Actions include his words too. And life is all about these three facets of hands, heart and head. But there is also a fourth facet that of consciousness on the background of which actions, feelings and thoughts emanate from. There is a lot said and written about these three facets. There is a lot of training given to these three areas. But what about the fourth? In engineering everybody understands the three facets of input, process and output. People understand that improving the output is not possible until process and specially input is changed. But is there a fourth aspect besides input, process and output. And the fourth aspect is the context in which workers are creating the output by changing the output through a process. Visionary thinkers have now begun thinking and impacting the fourth aspect too. They are understanding that the context or the culture in which workers operate are more important.In human engineering, actions are equivalent to output, feelings are equivalent to the process and thoughts are the input. Behaviour and actions are brought forth because of the input of thought and the further power that feelings process. That is why to change behaviour, it is important to change your feelings (process) and more importantly your thoughts (input). Yes, thoughts are very important. Change in thoughts through positive thinking is essential. But the fourth dimension is even more important. Yes, the context in which actions, feelings and thoughts arise is that of consciousness silence experience of being alive. Very little has been understood about this fourth dimension. Some call it The Self. When that is accessed, then harnessing thoughts, feelings and actions is very simple and easy. When the context in an organization is changed, then inputs, processes and outputs can all take a quantum jump. What a leader in an organization has to do is to precisely do that ??? change the context. The three facets are all lying on the foundation of the fourth. As a leader leading your life, it is similarly important to understand and access the consciousness from where actions, feelings and thoughts arise from. That is why it is called the source. Imagine, not being clear about your own source. But that is what is happening most people don't know their own source. The secret of the third aspect of thoughts is not just enough. The source of the thoughts is what matters. Even in the name of spirituality, which is actually the study of the source, everything other than the fourth dimension is being focused on. The three dimensions spirituality focuses on are exercising, breathing and thinking: Yoga, Pranayama and Gyan. But the fourth dimension of silence, that of Moun is the missing link. In the name of spirituality yogic asanas or breathing exercises or concentration exercises in the name of meditation are given importance to. But until, the source is accessed, until consciousness is manifested, it is not complete. Man is always comfortable with the three dimensions of length, breath and depth. But the fourth dimension is what gives colour to his life. Spirituality talks about the three states of sleeping, awakening and dream states. But discovering the fourth state (turiya) is the missing link. Discovering this fourth state should be the highest priority in life.

    This is because they are fascinated by how they can connect in a real way to these exciting truths. This is a tried-and-true motivating method that gives a clear understanding, while keeping a grasp on comprehension. This is the first book of its kind, and it keeps the awe-inspired reader continuously interested. Every person that has the privilege to absorb this kind of wisdom will hold onto it throughout their precious lives as it paves the way to an accurate road of faith and strength. This carefully crafted timeless piece will help build self-confidence, self-expression, and closeness to the Lord. Readers won't be able to hold in all of the magnificent facts that they've learned, and will quickly share their enthusiasm with others.

    He proposes his solution.

    Bob Smith, founded Alcoholics Anonymous in 1935, his hope was that AA would become a safe haven for those who suffered from this disease. Thirty years after his death, AA continues to help millions of alcoholics recover from what had been commonly regarded as a hopeless addiction. Still, while Wilson was a visionary for millions, he was no saint. After cofounding Alcoholics Anonymous, he stayed sober for over thirty-five years, helping countless thousands rebuild their lives. But at the same time, Wilson suffered form debilitating bouts of clinical depression, was a womanizer, and experimented with LSD.Francis Hartigan, the former secretary and confidant to Wilson's wife, Lois, has exhaustively researched his subject, writing with a complete insider's knowledge. Drawing on extensive interviews with Lois Wilson and scores of early members of AA, he fully explores Wilson's organizational genius, his devotion to the cause, and almost martyr-like selflessness. That Wilson, like all of us, had to struggle with his own personal demons makes this biography all the more moving and inspirational. Hartigan reveals the story of Wilson's life to be as humorous, horrific, and powerful as any of the AA vignettes told daily around the world.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.

    His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.