The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    For Coyote, the twin forces Dylan identifies as Texas Medicine and Railroad Gin – represent the competing forces of the transcendental, inclusive, and ecstatic world of love with the competitive, status-seeking world of wealth and power. The Rainman’s Third Cure is the tale of a young man caught between these apparently antipodal options and the journey that leads him from the privileged halls of power to Greenwich Village jazz bars, to jail, to the White House, lessons from a man who literally held the power of life and death over others, to government service and international success on stage and screen.Expanding his frame beyond the wild ride through the 1960’s counterculture that occupied so much of his lauded debut memoir, Sleeping Where I Fall, Coyote provides readers intimate portraits of mentors that shaped him—a violent, intimidating father, a be-bop Bass player who teaches him that life can be improvised, a Mafia consiglieri, who demonstrates to him that men can be bought and manipulated, an ex game-warden who initates him into the laws of nature, a gay dancer in Martha Graham’s company who introduces him to Mexico and marijuanas, beat poet Gary Snyder, who introduces him to Zen practice, and finally famed fashion designer Nino Cerruti who made the high-stakes world of haute monde Europe available to him.What begins as a peripatetic flirtation with Zen deepens into a life-long avocation, ordination as a priest, and finally the road to Transmission---acknowledgement from his teacher that he is ready to be an independent teacher. Through Zen, Coyote discovers a third option that offers an alternative to both the worlds of Love and Power’s correlatives of status seeking and material wealth. Zen was his portal, but what he discovers on the inside is actually available to all humans. In this energetic, reflective and intelligent memoir, The Rainman’s Third Cure is the way out of the box. The way that works.

    “Power of the Soul” will help you to dismantle some of the barriers created by your outer-self, to unveil your true inner-self and enable you to break free from some of the psychological restrictions that have prevented you from identifying and realizing your full potential.Within these pages you’ll learn how to:·         Discover and access your spiritual faculties·         Open yourself to a guiding higher consciousness·         Tap in to your own intuitive abilities·         Remove psychological and spiritual blocks·         Find your true self as you understand the nature, function, and purpose of the soul·         Create and control your own path·         Use spiritual energy to heal yourself and others·         Enhance your body, mind, and soul to live a life of harmonyThis transformational book is more than just a guide. It is also a way back to a life lived from the inside out. No matter what your walk of life, this book will help you to follow your own spiritual journey. “When you tap into the incredible force and power of your soul, and once your spiritual gifts are recognized, opened and used,” says John, “you’ll see yourself and the world in a way you never thought possible.”

    It was the worst school massacre in our nation's history. Can we prevent a tragedy like this from happening again?In Elliot Aronson's Nobody Left to Hate, on of our nation's leading social psychologists argues that the negative atmosphere in our schools--the exclusion, taunting, humiliation, and bullying--played a major role in triggering the pathological behavior of the shooters. At the very least, such an atmosphere makes schools an unpleasant experience for most normal students.But it doesn't have to be. Nobody Left to Hate offers concise, practical, and easy-to-apply strategies for creating a more supportive, stimulating, and compassionate environment in our schools. Based on decades of scientific research and classroom testing, these strategies explain how students can be taught to control their own impulses, how to respect others, and how to resolve conflicts amicably. In addition, they show teachers how to structure classes to promote cooperation, rather than competition, without sacrificing academics. On the contrary, education is greatly enhanced.For parents, teachers, or anyone concerned with what is happening in our schools, Nobody Left to Hate provides a simple and effective plan of action that will make their children's school not only a safe place, but a more humane place of learning.

    A dynamic table of contents enables to jump directly to the chapter selected. Table of Contents - About This Book - The Duty Of Inquiry - The Weight Of Authority - The Limits Of Inference

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    Without knowledge, scientific enquiry is meaningless and we can’t begin to analyse the world around us. What is knowledge? How do you know you are not dreaming? Should we trust our senses? Presuming no prior experience of philosophy, this book covers everything in the topic from scepticism and possible worlds to Kant’s transcendentalism. Clear and readable, Epistemology: A Beginner’s Guide is essential reading for students and aspiring thinkers.

    On March 24, 1988, at the University of Mississippi, J.P. Moreland, a leading Christian philosopher and ethicist, and Kai Nielsen, one of today's best-known atheist philosophers, went head-to-head over these questions. Does God Exist? records their entire lively debate and includes questions from the audience, the debaters' answers, and the responses of four recognized scholars - William Lane Craig, Antony Flew, Dallas Willard, and Keith Parsons. Noted author and philosopher Peter Kreeft has written an introduction, concluding chapter, and appendix - all designed to help readers decide for themselves whether God is fact or fantasy.

    Stimulating, illuminating, and always surprising, The Big Questions challenges readers to re-evaluate their most fundamental beliefs and reveals the relationship between the loftiest philosophical quests and our everyday lives.

    Their wisdom has profoundly shaped Eastern cultures over the centuries.

    Maxwell's brilliant and inspiring book is a simple premise: to do well in life we must first think well. But can we actually learn new mental habits? thinking for a change answers that with a resounding 'yes' - and shows how changing your thinking can indeed change your life. Drawing on the words and deeds of many of the world's greatest leaders and using interactive quizzes this empowering book helps you assess your thinking style guides you to new ones and step by step teaches you the secrets of: big-picture thinking - seeing the world beyond your own needs and how that leads to great ideas. Focused thinking - removing mental clutter and distractions to realize your full potential. Creative thinking - stepping out of the 'box' and making breakthroughs. Shared thinking - working with others to compound results. Reflective thinking - looking at the past to gain a better understanding of the future and much more. Here america's most trusted and admired motivational teacher examines the very foundation of success and self-transformation. Illuminating and life-changing thinking for a change is a unique primer not on what to think but how to best use one of your most precious possessions: your mind.

    This updated edition features new material.

    Orphaned as a teenager, he came to America in search of an education, a home, and the war that would at last bring him fame and honor. As George Washington’s most trusted aide, Hamilton helped to win the American Revolution—but after the war, his enemies lost no time accusing him of trying to sell his country back to the British. He was the most powerful member of Washington’s presidential cabinet—so why did Adams and Jefferson hate him so much?In this book, you will learn how the author of the Federalist Papers and the first Secretary of the Treasury nearly ruined his career by fighting duels, seducing women, and getting involved in America’s first sex scandal. The duel that killed Alexander Hamilton is the most famous duel in American history, but you’ll have to come up with your own answer to its greatest mystery: who shot first, Hamilton or Burr?

    Asking the correct question is fundamental to knowing how to arrive at the correct answer.”Scriptural principles exist for both our personal and our political quandaries. We should be willing to dig deep to find them and move away from voting based on tradition or mere preferences.Dr. Tony Evans takes on foundational questions of a Christian approach to politics, like:What does the Bible say about the role and responsibilities of government?How can we be salt and light when our political systems fail us?Should we submit to candidates we didn’t vote for?What if we don’t know whom to choose, or worse—what if there is no good choice?Evans won’t pressure you to check this box or that, but he will equip you with solid biblical principles that will challenge you to vote with a “kingdom perspective”—informed, compassionate, and aware of Who is really in charge.

    Regular price: $4.99.***+FREE GIFT INSIDE: link to download my 120 page e-book “Mindfulness Based Stress and Anxiety Management Tools” for free! Dear Friends, Contrary to popular belief, Zen is not a discipline reserved for monks practicing Kung Fu. Although there is some truth to this idea, Zen is a practice that is applicable, useful, and pragmatic for anyone to study regardless of what religion you follow (or don’t follow). Zen is the practice of studying your subconscious and seeing your true nature. The purpose of this work is to show you how to apply and utilize the teachings and essence of Zen in everyday life in the Western society. I’m not really an “absolute truth seeker” unworldly type of person - I just believe in practical plans and blueprints that actually help in living a better life. Of course I will tell you about the origin of Zen and the traditional ways of practicing it, but I will also show you my side of things, my personal point of view and translation of many Zen truths through a more “contemporary” and practical language. It is a “modern Zen lifestyle” type of book. I invite you to take this journey into the peaceful world of Zen Buddhism with me today! In This Book You Will Read About: • Where Did Zen Come From? - A short history and explanation of Zen • What Does Zen Teach? - The major teachings and precepts of Zen • Various Zen meditation techniques that are applicable and practical for everyone! • The benefits of a Zen lifestyle • What Zen Buddhism is NOT? • How to slow down and start enjoying your life • How to accept everything and lose nothing • Why being alone can be beneficial • Why pleasure is NOT happiness • Six Ways to Practically Let Go • How to de-clutter your life and live simply • "Mindfulness on Steroids" • How to Take Care of your Awareness and Focus • Where to start and how to practice Zen as a regular person • And many other interesting concepts... Scroll to the top of the page and click the orange buy button to instantly download this book to your PC, Kindle, Mac or smartphone!