However, it is one of the basic principles of quantum theory, the most widely accepted explanation of the subatomic world - and one of the fascinating subjects dealt with in Equations of Eternity.

    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.

    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.

    The price we paid for becoming intelligent was to become painfully ignorant of the difference between good and evil.Adi, a 10-year-old boy, works together with two old philosophers as they try to unravel the prophecy of a promised King. With insatiable curiosity, Adi must work with the wise men as they rationalize with each other on why and how humans became intelligent. Together they attempt to answer some of the most profound questions related to existence. Does evolution end with human beings or is there an ‘Overman’ who can reach evolution’s pinnacle? Will this Overman be able to define values for humankind?Centuries later a young boy promises his mother that he will always uphold the love that she has taught him. It is a promise that drowns him in the nectar of the gods. Krish grows up to be an engineer and joins a team of scientists as they try to create artificial consciousness in a machine.Krish soon realizes that he has a bigger fight on his hands. A fight to preserve love in a desolate world. His quest for true love ultimately leads him down a path where he comes face to face with a fearsome snake delivering a kiss of death.Humans have come a long way by questioning the nature of objects around us and pushing the limits of our intelligence, but it’s now time that we ask the greatest question yet: when does intelligence transcend to become consciousness?

    

    The calculus is not a hard subject and I prove this through an easy to read and obvious approach spanning only 100 pages. I have written this book with the following type of student in mind; the non-traditional student returning to college after a long break, a notoriously weak student in math who just needs to get past calculus to obtain a degree, and the garage tinkerer who wishes to understand a little more about the technical subjects. This book is meant to address the many fundamental thought-blocks that keep the average 'mathaphobe' (or just an interested person who doesn't have the time to enroll in a course) from excelling in mathematics in a clear and concise manner. It is my sincerest hope that this book helps you with your needs.Show more Show less

    He shows that there are many ways of achieving happiness; for example, there is the inherent happiness that comes with the love of a child; the competitive happiness of triumphing over your opponents; the sensual happiness of the hedonist. Rather than preaching a particular behavior or way of life, Morris provides knowledge that we can use, if we wish, to make ourselves happier.

    Cambridge International AS and A Level Physics covers all the material required for the Cambridge syllabus. The accompanying Student's CD-ROM includes many more questions linked to each chapter, including multiple choice, how to tackle the examinations, and animations, a glossary and summaries. A Teacher's Resource CD-ROM is also available and includes answers to all questions in the Coursebook, together with worksheets describing practical work linked to each chapter in the book.

    GRAPH THEORY WITH APPLICATIONS TO ENGINEERING AND COMPUTER SCIENCE-PHI-DEO, NARSINGH-1979-EDN-1

    At a glance, it bears few similarities to any place we know and inhabit. But upon closer examination, the differences between this complex virtual reality and our own might not be as vast as we think. In “How You Play the Game,” author and philosopher Charlie Huenemann looks philosophically at the game of Minecraft (“What is the point of this game? How does one win? Well, this depends on what you want to do”) and grapples with the ethical conundrums, existential crises and moral responsibilities of the virtual realm. From the Overworld to the Ender Dragon, Huenemann offers an entertaining, insightful and often hilarious examination of Minecraft and the strange worlds—both virtual and not—surrounding it.Charlie Huenemann is a Professor of Philosophy at Utah State University. He writes for 3quarksdaily, and has published several books on the history of philosophy.Cover design by Adil Dara.

    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

    Whatever your circumstances, you can create the life you desire by following simple, counterintuitive steps; not the steps society wants you to follow. Unfortunately, you cannot even trust yourself when it comes to creating the life that you desire, because you’re programmed by your past, an accumulation of hundreds of thousands of years, a mind still adapted for a hunter-gatherer time period. What does this mean? It means every day you’re battling your emotions, logic versus emotion. Logically, you want to do one thing, but emotionally, you are drawn to something else. First, if this sounds familiar, then great, because it means you are human. But, if you’re going to win the game of life, you cannot sit around and wait for things to happen, because you’ll be living a life of supreme comfort and sameness; ultimately, a great sin. You are destined for great things, capable of forging dreams and living your aspirations. Maybe you’ve forgotten about this truth: that you are capable, worthy, and ready. Maybe you’ve been beaten into the ground by life, a teacher who doesn’t care if you’re rich or poor, weak or strong, ready or not, because life will continue forward regardless, waiting for no one. Fortunately, there’re things you can do to set yourself apart from the millions that will ultimately suffer and fail. One such thing, perhaps the most powerful of all, is by studying the great, people who have succeeded and who have gone beyond what is humanly thought possible. When it comes to studying someone great, there’s one name that stands tall, Stephen Hawking, a person who has persevered and flourished. Not only has he conquered great adversity, but he has inspired millions around the world with his brilliant mind. There is a reason why people compare him with the once living Albert Einstein, the genius. What follows are Stephen Hawking’s greatest life lessons, gems of wisdom that you can easily apply to your own life, which will help you live a more abundant, stronger life. If you’re in need of inspiration, a boost of confidence, or just a friendly reminder of the wonders in life, you’ve come to the right place. See for yourself why millions study his work and regard him as a genius. Scroll up and grab your copy today.*** Limited time offer ***

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    In writing the book James Stewart asked himself:What is essential for a three-semester calculus course for scientists and engineers? Stewart's SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS offers a concise approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS is only 850 pages-two-thirds the size of Stewart's other calculus texts (CALCULUS, FIFTH EDITION AND CALCULUS, EARLY TRANSCENDENTALS, Fifth Edition)-yet it contains almost all of the same topics. The author achieved this relative brevity mainly by condensing the exposition and by putting some of the features on the website www.StewartCalculus.com. Despite the reduced size of the book, there is still a modern flavor: Conceptual understanding and technology are not neglected, though they are not as prominent as in Stewart's other books. SINGLE VARIABLE ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS has been written with the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world.

    Right?! Machine Learning is a branch of computer science that wants to stop programming computers using a detailed list of commands to follow blindly. Instead, their aim is to implement high-level routines that teach computers how to approach new and unknown problems – these are called algorithms. In practice, they want to give computers the ability to Learn and to Adapt. We can use these algorithms to obtain insights, recognize patterns and make predictions from data, images, sounds or videos we have never seen before – or even knew existed. Unfortunately, the true power and applications of today’s Machine Learning Algorithms remain deeply misunderstood by most people. Through this book I want fix this confusion, I want to shed light on the most relevant Machine Learning Algorithms used in the industry. I will show you exactly how each algorithm works, why it works and when you should use it. Supervised Learning Algorithms K-Nearest Neighbour Naïve Bayes Regressions Unsupervised Learning Algorithms: Support Vector Machines Neural Networks Decision Trees