When his dreams finally separate him from his physical body, Felix plunges headfirst into a multidimensional universe beyond the limits of space and time -- the place of White Light.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    In his new book, The Astonishing Hypothesis, Nobel Laureate Francis Crick boldly straddles the line between science and spirituality by examining the soul from the standpoint of a modern scientist, basing the soul's existence and function on an in-depth examination of how the human brain "sees."

    

    

    Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence of logic on scientific method and the various sciences from physics to psychology, and will show you why computers and digital technology are just another case of logic in action.

    

    But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that.This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples.By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to:- How to measure your own level of uncertainty in a conclusion or belief- Calculate Bayes theorem and understand what it's useful for- Find the posterior, likelihood, and prior to check the accuracy of your conclusions- Calculate distributions to see the range of your data- Compare hypotheses and draw reliable conclusions from themNext time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.

    A short Science Fiction novel by a distinguished Dutch mathematician which entertains and instructs in the multi-dimensional geometries of curved space and the expanding universe.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

    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.

    Conflict between humans and machines is seen as inevitable and its outcome all too predictable.In this groundbreaking book, distinguished AI researcher Stuart Russell argues that this scenario can be avoided, but only if we rethink AI from the ground up. Russell begins by exploring the idea of intelligence in humans and in machines. He describes the near-term benefits we can expect, from intelligent personal assistants to vastly accelerated scientific research, and outlines the AI breakthroughs that still have to happen before we reach superhuman AI. He also spells out the ways humans are already finding to misuse AI, from lethal autonomous weapons to viral sabotage.If the predicted breakthroughs occur and superhuman AI emerges, we will have created entities far more powerful than ourselves. How can we ensure they never, ever, have power over us? Russell suggests that we can rebuild AI on a new foundation, according to which machines are designed to be inherently uncertain about the human preferences they are required to satisfy. Such machines would be humble, altruistic, and committed to pursue our objectives, not theirs. This new foundation would allow us to create machines that are provably deferential and provably beneficial.In a 2014 editorial co-authored with Stephen Hawking, Russell wrote, "Success in creating AI would be the biggest event in human history. Unfortunately, it might also be the last." Solving the problem of control over AI is not just possible; it is the key that unlocks a future of unlimited promise.

    If you have ever wanted to read a book that validates immortality and communication with loved ones who have passed on, then read this book. It is an authentic portal to the other side." Caroline Myss, author of Anatomy of the SpiritWhen Mike and Beth Pasakarnis received the news that every parent dreads, their world seemed to crumble around them. Spiritual teacher and evidential medium Suzanne Giesemann knew exactly how they felt. Like Mike and Beth’s son, Wolf, her step-daughter Susan had been struck and killed by a bolt of lightning out of the blue. Until meeting Mike and Beth, Suzanne—a former “by-the-book” Navy commander—had cautiously refrained from using the word “proof” when speaking of the eternal existence of the soul. But no longer. The evidence Mike and Beth shared from their son provided all the proof she needed. Little did Mike, Beth, or Suzanne know that their lives would soon become even more entangled by unexpected visits from Wolf’s spirit. Had Wolf’s presence offered a one-time glimpse across the veil, they might still be pondering the significance of the mystifying clues he left behind. Instead, as Wolf repeatedly made his presence known, Suzanne was able to piece together Wolf’s puzzle and reveal a startling message that has profound spiritual implications for us all. Travel along on Suzanne’s incredible journey as she unravels the web of clues Wolf wove to ensure that his uplifting message of hope and joy is understood by all mankind. "Part spiritual detective story, part definitive proof of after-death communications from a most extraordinary young man, Wolf’s Message is above all a must-read for those seeking a more balanced, heart-centered way of living." Kenneth Ring, Ph.D., author of Lessons from the Light“Wolf’s efforts to communicate with us through Suzanne deserve to be taken seriously and received with gratitude, awe, and celebration.” Gary E. Schwartz, Ph.D., author of The Sacred Promise “Somehow, reading Wolf's Message creates a field into which the reader is incorporated experientially. Reading, learning, and Being are rolled into a synergy that exemplifies the truths of nature and existence as they are revealed. Such authentic interactivity is rarely achieved in this context; a really good book is one in which the author draws the reader in by chronicling notions and events in such a way as to invite and affirm our ability to relate. A really great story dispenses with the dichotomy of author and reader altogether, and the precious anomaly of Wolf's Message is that it behaves more like an Oracle than a Book.” Dr. Barbara E. Fields, Executive Director, Association for Global New Thought