Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    A substantial portion of the book expands on this salvo: it analyses Gandhians and psuedo-Gandhians, Marxists and anti-Marxists, Nehruvians and anti-secularists, democrats and Stalinists, scientists and historians, environmentalists and cricketers - in short all those who comprise the intellectual life of thinking Indians today.

    Davies discovered they were part of a network of children selling themselves on the streets of the city, running a nightly gauntlet of dangers: pimps, punters, the Vice Squad, disease, drugs. This propelled Davies into a journey of discovery through the slums and ghettoes of our cities. He found himself in crack houses and brothels, he befriended street gangs and drug dealers.Davies' journey into the hidden realm is powerful, disturbing and impressive, and is bound to rouse controversy and demands for change. He unravels threads of Britain`s social fabric as he travels deeper and deeper into the country of poverty, towards the dark heart of British society.

    For the past ten years he has been attempting to decode the numerical pattern beneath the ultimate system of ordered chaos-the stock market. As Max verges on a solution, chaos is swallowing the world around him. He is pursued by an aggressive Wall Street firm set on financial domination as well as by a Kabbalah sect intent on unlocking the secrets behind its ancient holy texts. Max races to crack the code, hoping to defy the madness that looms before him. In succeeding, he uncovers a secret everyone is willing to kill for.Also included with the screenplay is a full journal of how Darren Aronofsky made this award-winning film on a minuscule budget of $60,000, providing practical advice and inspiration to film students and offering film buffs rare insight into how an independent film is made.

    Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

    The pages overflow with humor and an array of cool phrases that will have readers bending and sending, blowing soup, and gargling gravy all the way to the bathroom!

    The Art of Problem Solving, Volume 1, is the classic problem solving textbook used by many successful MATHCOUNTS programs, and have been an important building block for students who, like the authors, performed well enough on the American Mathematics Contest series to qualify for the Math Olympiad Summer Program which trains students for the United States International Math Olympiad team.Volume 1 is appropriate for students just beginning in math contests. MATHCOUNTS and novice high school students particularly have found it invaluable. Although the Art of Problem Solving is widely used by students preparing for mathematics competitions, the book is not just a collection of tricks. The emphasis on learning and understanding methods rather than memorizing formulas enables students to solve large classes of problems beyond those presented in the book.Speaking of problems, the Art of Problem Solving, Volume 1, contains over 500 examples and exercises culled from such contests as MATHCOUNTS, the Mandelbrot Competition, the AMC tests, and ARML. Full solutions (not just answers!) are available for all the problems in the solution manual.

    Conventional science prefers to dismiss these findings because they cannot be accommodated by a materialist view of reality. Spirituality and religion embrace the continuity of consciousness and ascribe it to a nonmaterial spirit or soul that is immortal. As such, spirituality/religion and science continually find conflict in their views. But what if there truly is no conflict? Based on a new scientific paradigm in sync with experience-based spirituality, Ervin Laszlo and Anthony Peake explore how consciousness is continually present in the cosmos and can exist without connection to a living organism. They examine the rapidly growing body of scientific evidence supporting the continuity of consciousness, including near-death experiences, after-death communication, reincarnation, and neurosensory information received in altered states. They explain how the persistence of consciousness beyond the demise of the body means that, in essence, we are not mortal--we continue to exist even when our physical existence has come to an end. This correlates precisely with cutting-edge physics, which posits that things in our plane of time and space are not intrinsically real but are manifestations of a hidden dimension where they exist in the form of superstrings, information fields, and energy matrices. With proof that consciousness is basic to the cosmos and immortal in its deeper, nonmanifest realm, Laszlo and Peake reveal the purpose of consciousness is to manifest in living beings in order to continuously evolve.

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    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.

    Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    In A Point in Time, his lyrical yet startling new book, he offers meditations on an even deeper conversion, one which touches on the very essence of every human life.Part memoir and part philosophical reflection, A Point in Time focuses on man’s inevitable search for meaning—and how for those without religious belief, that search often leads to a faith in historical progress, one that is bound to disappoint. Horowitz agrees with Marcus Aurelius, whose stoic philosophy provides a focal point for the book, “He who has seen present things has seen all, both everything that has taken place from all eternity and everything that will be for time without end.…”Horowitz remembers his father, a political radical who put his faith in just such a redemptive future. He examines this hope through the other great figure who organizes these reflections, the Russian novelist Fyodor Dostoevsky, whose writings foreshadowed the great tragedies of the social revolutions to come. Horowitz draws on eternal themes: the need we have to make sense out of the lives we have been given, our desire to repair the injustices we encounter, and the consequences of our mortality.Interweaving episodes of his own life with the writings of the philosopher and the novelist, Horowitz explores how we provide meaning to an apparently senseless existence and the dire consequences that follow from seeking to redeem it by attempting to make a perfect world out of the imperfect one in which we find ourselves.Praise forA POINT IN TIME“David Horowitz is so powerful a polemicist that it is often forgotten how beautifully he writes. For the same reason, the deeply considered philosophical perspective and the wide-ranging erudition underlying his political passions are just as often overlooked. But it is precisely these qualities that come to the fore and shine through so brilliantly in the linked meditations that make up A Point in Time. With Marcus Aurelius, Ecclesiastes, and Dostoevsky as its guides, this little book boldly ventures into an exploration of first things and last that is as moving as it is profound.”—NORMAN PODHORETZ, author of Why Are Jews Liberals?“A beautiful book, both sad and uplifting. Moving in turns from the intimate to the universal, Horowitz not only explores but also embodies the dignity of the tragic worldview. A Point in Time is a poignant and elegiac reflection on life from a man who bears the burden of unknowing with courage and grace.”—ANDREW KLAVAN, author of True Crime and Empire of Lies“Emulating Marcus Aurelius, David Horowitz has produced a meditation on facing death that is poignant and wise. Whether invoking the Stoics or reflecting on his own father, he helps us think through that most basic of all questions: what is it that can give meaning to our existence?”—WALTER ISAACSON, author of Einstein“I have admired David Horowitz for decades. He has taught me many important lessons. But never have I been so moved by his writing as I am by this brief and profound book.”—DENNIS PRAGER, author of Why the Jews?

    In the six years since her first enormously successful vegetarian cookbook was published, there has been a huge increase in the number of people who choose not to eat meat. Linda's Kitchen, which contains over 200 delicious and inspiring new recipes, offers a blueprint for a vegetarian way of life but is also perfect for the thousands of people who are simply cutting down on meat for health reasons.The recipes have evolved from the kind of good food Linda cooks for her family and friends. They are simple to prepare and wonderful to eat. The dishes are healthy too: nutritionally well balanced and low in saturated fats. Many are suitable for vegans.For the newcomer to vegetarianism the seasonal menu-planning section, packed with ideas for different sorts of occasions - from family suppers to teenagers' parties, summer barbecues to a warming Sunday lunch - will show how easy it is to put together a vegetarian feast. The great recipes for Italian, Indian, Chinese and Mexican meals prove beyond a doubt that non-meat-eaters don't have to miss out on the fun of modern food.This is the cookbook for the way we are today!

    Indeed, with all its hopes of a more just and materially prosperous world, development has fascinated societies in both North and South. Looking at this collective fancy in retrospect, Gilbert Rist shows the underlying similarities of its various theories and strategies, and their shared inability to transform the world. He argues persuasively that development has always been a kind of collective delusion which in reality has simply promoted a widening of market relations despite the good intentions of its advocates.Now this era is over. Globalisation has taken over. Former development promises have been shelved and replaced by a new but narrower slogan, 'the struggle against poverty'. Yet in spite of the failures of development, aggravated now by globalisation, we are told that growth -- which nobody would risk abandoning -- is still the only means of salvation. It is clear that the need for belief is stronger than any doubts about its actual wisdom.What, then, are the origins of this naive faith? Why have people put so much energy into proclaiming it and seeking to make it a reality? Why has it proved an illusion, and what future does it now have? These are some of the questions which this thoughtful and penetrating history of the concept of development explores.This book is an invitation to rethink contemporary problems and to prepare ourselves for what might be called the post-development era.