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.

    Hacker leads us into a world of philosophical investigation in which to smell a rat is ever so much easier than to trap it. Wittgenstein defined humans as language-using creatures. The role of philosophy is to ask questions which reveal the limits and nature of language. Taking the expression, description and observation of pain as examples, Hacker explores the ingenuity with which Wittgenstein identified the rules and set the limits of language. (less)

    Yet psychologists and philosophers agree that these commonplace approaches to creating happiness, success, and fulfillment make critical mistakes. Stop Chasing Carrots reveals how these mistakes begin with misconceptions about happiness and then presents a philosophy of life to achieve better results.Here is the rare book that creates a philosophy of life based on scientific evidence. Replacing self-help materialism, Eastern spiritualism/minimalism, and complex but insightful psychological studies with an accessible, balanced, and realistic concept, Stop Chasing Carrots empowers readers to lead lives based on proven ideas.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    C. Fields, and Woody Allen."Jokes, paradoxes, riddles, and the art of non-sequitur are revealed with great perception and insight in this illuminating account of the relationship between humor and mathematics."—Joseph Williams, New York Times"'Leave your mind alone,' said a Thurber cartoon, and a really complete and convincing analysis of what humour is might spoil all jokes forever. This book avoids that danger. What it does. . .is describe broadly several kinds of mathematical theory and apply them to throw sidelights on how many kinds of jokes work."—New Scientist"Many scholars nowadays write seriously about the ludicrous. Some merely manage to be dull. A few—like Paulos—are brilliant in an odd endeavor."—Los Angeles Times Book Review

    This lively and lucid book provides an introduction to the essential phenomenological concepts that are crucial for understanding great thinkers such as Husserl, Heidegger, and Merleau-Ponty. Written by a leading expert in the field, Dan Zahavi examines and explains key questions such as:- What is a phenomenological analysis?- What are the methodological foundations of phenomenology?- What does phenomenology have to say about embodiment and intersubjectivity?- How is phenomenology distinguished from, and related to, other fields in philosophy?- How do ideas from classic phenomenology relate to ongoing debates in psychology and qualitative research?With a glossary of key terms and suggestions for further reading, the book considers key philosophical arguments around phenomenology, making this an ideal starting point for anyone seeking a concise and accessible introduction to the rich and complex study of phenomenology.

    Starting a war 'to promote freedom and democracy' could in certain though rare circumstances be a justified act; but in the case of the Second Gulf War that began in 2003, which involved reacting to criminals hiding in one country (Al Qaeda in Afghanistan or Pakistan) by invading another country (Iraq), one of the main fronts has, dismayingly, been the home front, where the War on Terror takes the form of a War on Civil Liberties in the spurious name of security. To defend 'freedom and democracy', Western governments attack and diminish freedom and democracy in their own country. By this logic, someone will eventually have to invade the US and UK to restore freedom and democracy to them.'In this lucid and timely book, Grayling sets out what's at risk, engages with the arguments for and against examining the cases made by Isaiah Berlin and Ronald Dworkin on the one hand, and Roger Scruton and John Gray on the other, and finally proposes a different way to respond that makes defending the civil liberties on which western society is founded the cornerstone for defeating terrorism.

     In fact, it may even be bigger than the Internet. It is such a profound paradigm shift in the technology of money that even experts on the topic are still trying to wrap their heads around it. Pandora's box has been opened and there is no going back. Bitcoin will forever transform society and its implications are beyond what we can even currently imagine. Bitcoin can be hard to grasp at first – and if someone has tried to explain it to you and you feel like you still don't get it, don't worry. This book will take you by the hand and explain to you in the simplest terms, using analogies, metaphors and illustrations what the essence of Bitcoin is and why you must pay attention to the revolution that is about to take place. In Bitcoin for Beginners you will find out: How the Bitcoin Technology works The difference between Bitcoin and Blockchain How mining works How to make money with Bitcoin The top myths about Bitcoin How Bitcoin will take over the world How to buy and sell Bitcoin What forks are And much more! DON'T HESITATE. TO START ON A JOURNEY THAT COULD DEEPLY TRANSFORM HOW YOU RELATE TO THE CONCEPT OF MONEY, SCROLL UP AND CLICK THE "BUY" BUTTON NOW!

    This is one of the most power-packed prosperity books around. Anyone can attract more money using simple metaphysical and mind power techniques, but advanced money attractors have a deeper grasp of the subtler spiritual truths underlying the money-manifesting process. You can attract a lot more money than you ever have before, and this book will give you the knowledge you need to be able to do it just as naturally as you now breathe.In fact, this life-changing little book will teach you that the money you want is actually here now, that it is a part of you, and that you already have it. Within these covers resides an astounding power, which will become increasingly apparent to you over time and with subsequent readings, and spurred on by this power, you can begin to turn your financial dreams into reality. Table of Contents: Secret One......: You Already Have ItSecret Two......: It Is Not Separate from YouSecret Three...: It Is Not in Your FutureSecret Four.....: It Is Right for You to Have ItSecret Five......: You Are Worthy of Having ItSecret Six........: A Higher You Wants ItSecret Seven...: Inspiration Beats PlanningSecret Eight.....: Be a Person Who Has ItSecret Nine......: Cooperate with the UniverseSecret Ten.......: Spread the Good AroundAttracting more money, manifesting wealth, creating a life of prosperity, abundance, and affluence—these are things anyone can accomplish, but relatively few do. The difference between the haves and the have nots? It’s a mental difference. It all starts in the mind, with the power of thought. This book will teach you how to think in a way that will raise you to glorious new heights of success, achievement, and financial freedom.

    Whereas Caesar Triumphant covers Caesar's invasion of the Isle of Wa, now known as Japan, Caesar Ascending is set in 44 BC and tells the story of his planned invasion of Parthia, and includes the characters of the internationally bestselling Marching With Caesar series, featuring Titus Pullus. Determined not to repeat the mistakes made by Caesar's friend and fellow Triumvir Marcus Licinius Crassus, the Dictator has trained his Legions in tactics specifically designed to thwart the famed Parthian cataphracts and horse archers, but as Caesar and his army learns, the Parthians have been working on their own surprises, all in an attempt to destroy another Roman army and send a message to Rome that they are not the only world power.

    It emphasizes forms suitable for students and researchers whose interest lies in solving equations rather than in general theory. Solutions to odd-numbered problems appear at the end. 1957 edition.

    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.

    This book will teach you the basic poker mathematics you need to know in order to improve and outplay your opponents, and focuses on foundational poker mathematics - the ones you’ll use day in and day out at the poker table; and probably the ones your opponents neglect.

    They lived life to the fullest, loved unashamedly, listened to their heart’s desires, and created one of the most advanced, culturally sophisticated societies ever known. Is all that now dead and buried? Or only for the professors to mull over?One classics scholar, Dr. Stephen Bertman, answers this resoundingly in The Eight Pillars of Greek Wisdom. He shows how to bring passion and excellence to the center of your daily life, as the ancient Greeks intended them to be. The lessons they learned—that life is brief and fragile and time is too precious to waste; that we do not know who we are until we discover who we can be; that we cannot undertake our voyage through life alone; that there will be obstacles along the way, but the greatest obstacle is within—led them to develop what Bertman describes as eight guiding principles of wisdom: Humanism The Pursuit of Excellence The Practice of Moderation Self-Knowledge Rationalism Restless Curiosity The Love of Freedom Individualism These eight pillars are explored in the book. Each is illuminated through vivid examples drawn from the rich heritage of classical history and mythology, including tales of gods and goddess, heroes and heroines, adventure and exploration, and self-discovery and personal triumph.