Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Featuring star maps, charts, gorgeous full-color photographs, and easy-to-follow explanations, this fact-filled guide gives readers a leg up on the basic principles of astronomy and shows how to get the most out of binoculars, telescopes, planetarium visits, and other fun astronomical activities. This updated edition includes an updated color signature and covers the many discoveries made in recent years, as well as new astronomy Web sites.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

    You can podcast to boost your business, promote your passion, share your opinions, or just have fun. The point is to say what you want to say to those who want to hear it. With step-by-step explanations, screen shots, and tons of examples, this guide clues you in on recording, producing, and hosting your very own podcast with info on:Finding your voice and your niche, whether you want to talk tech, make your own kinds of music, educate listeners, make people laugh, do soundseeing tours, serialize your novel, or invent a new podcasting genre Getting the bare necessities (if you don't already have them), including a microphone, recording software, and an audio card Audio editing software such as Audacity, Cakewalk for PCs, GarageBand for musicality, and Audio HiJack Pro for Macs Recording, including understanding dB (decibel levels), capturing or minimizing ambient noise, and more Editing with GarageBand or Audacity, adding bed music, and including intros and outros for a signature finishing touch You want your podcast to be heard. Podcasting For Dummies helps you launch and promote it with info on how to:Downsize your audio files with MP3 compression Change bit rates and sample rates in Audacity and iTunes Create and edit your ID3 tags in Audacity or iTunes Post your show notes using Movable Type or Libsyn Simplify the RSS 2.0 feed by using blogging software or a podcast-hosting company such as Audioblog.com, Podcastamatic, and Feeder Ping for publicity Communicate with your listeners on your blog, through online discussion groups such as Yahoo! Groups or Google Groups, or on online forums Of course, if you want to be a podcatcher (a listener) and subscribe to podcasts, this guide shows you how to do that, too! Complete with a companion podcast--a free weekly audio commentary that will keep you up to speed on the podsphere--this guide helps you get your message heard, loud and clear.

    You'll discover how your memory works and how to enhance it in all types of situations. The Dummies Way * Explanations in plain English * "Get in, get out" information * Icons and other navigational aids * Tear-out cheat sheet * Top ten lists * A dash of humor and fun Get smart! @www.dummies.com * Find listings of all our books * Choose from among 33 different subject categories * Sign up for daily eTips at www.dummiesdaily.com

    Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel’s undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.

    Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    In Homo Deus, he looked to our future. Now, one of the most innovative thinkers on the planet turns to the present to make sense of today's most pressing issues.How do computers and robots change the meaning of being human? How do we deal with the epidemic of fake news? Are nations and religions still relevant? What should we teach our children?Yuval Noah Harari's 21 Lessons for the 21st Century is a probing and visionary investigation into today's most urgent issues as we move into the uncharted territory of the future. As technology advances faster than our understanding of it, hacking becomes a tactic of war, and the world feels more polarized than ever, Harari addresses the challenge of navigating life in the face of constant and disorienting change and raises the important questions we need to ask ourselves in order to survive.In twenty-one accessible chapters that are both provocative and profound, Harari builds on the ideas explored in his previous books, untangling political, technological, social, and existential issues and offering advice on how to prepare for a very different future from the world we now live in: How can we retain freedom of choice when Big Data is watching us? What will the future workforce look like, and how should we ready ourselves for it? How should we deal with the threat of terrorism? Why is liberal democracy in crisis?Harari's unique ability to make sense of where we have come from and where we are going has captured the imaginations of millions of readers. Here he invites us to consider values, meaning, and personal engagement in a world full of noise and uncertainty. When we are deluged with irrelevant information, clarity is power. Presenting complex contemporary challenges clearly and accessibly, 21 Lessons for the 21st Century is essential reading.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    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.

    Abundantly illustrated and containing a wide variety of exercises, Genki is sure to bring vigor to your classroom! Though primarily meant for use in college-level classes, it is also a good guide for independent learners and is a nice resource book for teachers of Japanese. Genki's authors teach at Kansai Gaidai University, which hosts the largest number of North American students spending their junior year in Japan.

    [...] Built from the ground up on a wealth of research into how readers learn physics and how they can be taught more effectively, College Physics leads readers to more proficient and long-lasting problem-solving skills, a deeper and better-connected understanding of the concepts, and a broader picture of the relevance of physics to the world around them. Force and Motion: Concepts of Motion and Mathematical Background, Motion in One Dimension, Vectors and Motion in Two Dimensions, Forces and Newton's Laws of Motion, Applying Newton's Laws, Circular Motion, Orbits, and Gravity, Rotational Motion, Equilibrium and Elasticity. Conservation Laws: Momentum, Energy and Work, Using Energy. Properties of Matter: Thermal Properties Of Matter, Fluids. Oscillations and Waves: Oscillations, Traveling Waves and Sound, Superposition and Standing Waves. For all readers interested in algebra-based college physics.

    This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is not a natural way of thinking, but it can be learned. Mathematicians, scientists, and engineers need to “do math,” and it takes many years of college-level education to learn all that is required. Mathematical thinking is valuable to everyone, and can be mastered in about six weeks by anyone who has completed high school mathematics. Mathematical thinking does not have to be about mathematics at all, but parts of mathematics provide the ideal target domain to learn how to think that way, and that is the approach taken by this short but valuable book. The book is written primarily for first and second year students of science, technology, engineering, and mathematics (STEM) at colleges and universities, and for high school students intending to study a STEM subject at university. Many students encounter difficulty going from high school math to college-level mathematics. Even if they did well at math in school, most are knocked off course for a while by the shift in emphasis, from the K-12 focus on mastering procedures to the “mathematical thinking” characteristic of much university mathematics. Though the majority survive the transition, many do not. To help them make the shift, colleges and universities often have a “transition course.” This book could serve as a textbook or a supplementary source for such a course. Because of the widespread applicability of mathematical thinking, however, the book has been kept short and written in an engaging style, to make it accessible to anyone who seeks to extend and improve their analytic thinking skills. Going beyond a basic grasp of analytic thinking that everyone can benefit from, the STEM student who truly masters mathematical thinking will find that college-level mathematics goes from being confusing, frustrating, and at times seemingly impossible, to making sense and being hard but doable. Dr. Keith Devlin is a professional mathematician at Stanford University and the author of 31 previous books and over 80 research papers. His books have earned him many awards, including the Pythagoras Prize, the Carl Sagan Award, and the Joint Policy Board for Mathematics Communications Award. He is known to millions of NPR listeners as “the Math Guy” on Weekend Edition with Scott Simon. He writes a popular monthly blog “Devlin’s Angle” for the Mathematical Association of America, another blog under the name “profkeithdevlin”, and also blogs on various topics for the Huffington Post.