It will effectively reveal and dispel any wrong-thinking surrounding this idea upon which all else stands. The purpose? To unburden you from all notions of ‘self’, allowing you to directly discover the raw, non-dual truth of Being.This isn't the first work that tackles this subject. But others have left it at “we can’t really know whether there’s anything beyond our experience”, while I go all the way and say that we can know – and in this book I’ll show you exactly how and why this idea of an objective, physical universe of time and space beyond our perceptions is nothing but a figment of our imagination.But it’s a book unlike all others on the contemporary non-dual awakening scene. You won’t find any ‘pointers’ in it. What you’ll find is stone cold logic hacking away at the very foundation of existence itself. And in its wake; when the dust finally settles; you’ll recognize that, not only were the words of the sages true all along, but they've gone from being a remote possibility to being the light and guiding principle of your life. What words?"Consciousness is all."

    The truth is that modern life is extremely stressful; there are many demands on your time and never enough hours in the day. However, being at the end of your tether, worn out and overwhelmed is not the same as having a mental disorder. In fact mental health covers a wide range of illnesses including those which most people are aware of, such as Schizophrenia (which is classed as a psychotic disorder). What you may not be aware of is the number of people who have personality disorders and the reasons for these disorders. Most people are not diagnosed until into their twenties and symptoms will naturally reduce in their forties or fifties. Knowing the difference between the various mental illnesses is essential to ensure you know when a friend or loved one needs professional help as opposed to just your care and attention. This book will guide you through the differences between personality disorders, mental disorders and psychotic disorders. It will help you to understand the different elements of a personality and how you can test your friends to find out which personality type they are. It will even enlighten you as to the basic traits of each of the sixteen personality types, according to the Myers Briggs Personality test. Reading this book will enlighten you as to the names and details of the nine main personality disorders, how to recognize the symptoms of each of these disorders and the best way to treat them. It is important to use this book as a guide to understanding these illnesses and to learn the best way to help and support anyone you know who is suffering from a personality disorder. However, a diagnosis must always be confirmed by a medical professional who will ensure treatment is available. Many people who have a mental health issue will not recognise the issue in themselves; this book will ensure you understand each condition and can help your loved one to get the appropriate treatment. Everyone deserves the chance to have a happy, fulfilling and balanced life. Read this and help those around you have that chance!

    A remarkable pictorial discussion of the curved space-time we call home, it achieves even greater impact through the use of 141 excellent illustrations. This is the first sustained visual account of many important topics in relativity theory that up till now have only been treated separately.Finding a perfect analogy in the situation of the geometrical characters in Flatland, Professor Rucker continues the adventures of the two-dimensional world visited by a three-dimensional being to explain our three-dimensional world in terms of the fourth dimension. Following this adventure into the fourth dimension, the author discusses non-Euclidean geometry, curved space, time as a higher dimension, special relativity, time travel, and the shape of space-time. The mathematics is sound throughout, but the casual reader may skip those few sections that seem too purely mathematical and still follow the line of argument. Readable and interesting in itself, the annotated bibliography is a valuable guide to further study.Professor Rucker teaches mathematics at the State University of New York in Geneseo. Students and laymen will find his discussion to be unusually stimulating. Experienced mathematicians and physicists will find a great deal of original material here and many unexpected novelties. Annotated bibliography. 44 problems.

    These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.

    

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    This seems to have been the case even from the first recognition of the Neanderthals as a species. The first Neanderthal fossil discovery was that of a child’s skull in Belgium in 1829, but it was badly damaged. Another would be discovered in 1856 in a limestone mine of the Neanderthal region of what is present-day Germany, and a skull with differing distinct traits (indicating a different species than the Neanderthals) would be discovered just over a decade later in southwestern France. The latter specimen would come to be recognized as an example of the species Homo Sapiens, and these anatomically modern humans arrived in Europe between 45,000 and 43,000 years ago, around the time the Neanderthals are believed to started going extinct. The Neanderthals are a member of the genus Homo just like Homo sapiens and share roughly 99.7% of their DNA with modern humans (Reynolds and Gallagher 2012). Both species even lived briefly during the same time in Eurasia. However, the Neanderthals evolved separately in Europe, away from modern humans, who evolved in Africa. Physically, the Neanderthal skeleton was much more robust, suggesting that there was more room for muscle attachment. However, while Neanderthals were stronger than modern humans, the average height of the Neanderthal male was shorter, standing at only about 5’5 tall. Other physical characteristics that set the Neanderthals apart from modern humans were certain skull traits. The skull in general was low and elongated, featuring a sloping forehead with an occipital bun (a bone projection at the back of the skull), whereas modern humans have a more vertical forehead with no occipital bun. The cranial capacity of the Neanderthal skull was also greater than the modern human at 1,500–1,740 cc, and it lacked a chin and had more circular eye orbits, in contrast to Homo sapiens, which have a chin and tend to feature more rectangular eye orbits (Wolpoff 1999). Despite these differences, the Neanderthals may have been recognizable enough to interact with Homo sapiens or even blend in with Homo sapiens for the thousands of years they lived together in Europe. The Neanderthals lived in Europe and Asia for nearly 200,000 years and thrived in these regions, but they went extinct between 40,000 and 30,000 years ago, around the same time that modern humans began arriving in Europe. This has prompted much speculation as to the nature of the interactions between Neanderthals and Homo sapiens, especially since some researchers believe they interacted with each other for over 5,000 years before the Neanderthals began going extinct at different times across Europe. One hypothesis is that Homo sapiens displaced the Neanderthals and were better suited for the environment, and it is obviously possible if not likely that these two groups had become competitors for food and other resources, with Homo sapiens being more successful in the end. If such close interactions were taking place, there is also a possibility that the relatively new-to-Europe Homo sapiens brought pathogens from Africa with them that were unknown to the Neanderthal’s immune system. A more recent example of this type of resulting interaction is the European expansion into the Americas, which brought diseases like smallpox that the natives of America had never experienced before, especially diseases resulting from the domestication of animals. It is possible that the domestication of the dog by Homo sapiens may have contributed in spreading foreign diseases among the Neanderthals.

    HOW RISKY IS IT, REALLY?International risk expert David Ropeik takes an in-depth look at our perceptions of risk and explains the hidden factors that make us unnecessarily afraid of relatively small threats and not afraid enough of some really big ones. This read is a comprehensive, accessible, and entertaining mixture of what's been discovered about how and why we fear — too much or too little. It brings into focus the danger of The Perception Gap: when our fears don't match the facts, and we make choices that create additional risks.This book will not decide for you what is really risky and what isn't. That's up to you. HOW RISKY IS IT, REALLY? will tell you how you make those decisions. Understanding how we perceive risk is the first step toward making wiser and healthier choices for ourselves as individuals and for society as a whole.TEST YOUR OWN "RISK RESPONSE" IN DOZENS OF SELF-QUIZZES!

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you:  Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

    Fearlessly pondering life’s end, Holloway examines how doubts too often paralyze people. He explains, “A sentence is not finished till it has a full stop, and every life needs a dying to complete it … Our brief finitude is but a beautiful spark in the vast darkness of space. So we should live the fleeting day with passion and, when the night comes, depart from it with grace.” Written in the context of organized religion’s structural difficulties, Looking in the Distance is a highly personal and meditative work that helps us better understand the myriad ways in which the human search for wholeness and healing can be approached. Accessible, funny, inquisitive and ever hopeful, it will inspire all who read it.

    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

    Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.