The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Out of it you have to spin health, pleasure, money, content, respect, and the evolution of your immortal soul. This timeless classic is one of the first self-help books ever written and was a best-seller in both England and America. It remains as useful today as when it was written, and offers fresh and practical advice on how to make the most of the daily miracle of life.

    By spinning 28 mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.

    Bayesian statistics is taught in most first-year statistics classes across the nation, but there is one major problem that many students (and others who are interested in the theorem) face. The theorem is not intuitive for most people, and understanding how it works can be a challenge, especially because it is often taught without visual aids. In this guide, we unpack the various components of the theorem and provide a basic overview of how it works - and with illustrations to help. Three scenarios - the flu, breathalyzer tests, and peacekeeping - are used throughout the booklet to teach how problems involving Bayes Theorem can be approached and solved. Over 60 hand-drawn visuals are included throughout to help you work through each problem as you learn by example. The illustrations are simple, hand-drawn, and in black and white. For those interested, we have also included sections typically not found in other beginner guides to Bayes Rule. These include: A short tutorial on how to understand problem scenarios and find P(B), P(A), and P(B|A). For many people, knowing how to approach scenarios and break them apart can be daunting. In this booklet, we provide a quick step-by-step reference on how to confidently understand scenarios.A few examples of how to think like a Bayesian in everyday life. Bayes Rule might seem somewhat abstract, but it can be applied to many areas of life and help you make better decisions. It is a great tool that can help you with critical thinking, problem-solving, and dealing with the gray areas of life. A concise history of Bayes Rule. Bayes Theorem has a fascinating 200+ year history, and we have summed it up for you in this booklet. From its discovery in the 1700’s to its being used to break the German’s Enigma Code during World War 2, its tale is quite phenomenal.Fascinating real-life stories on how Bayes formula is used in everyday life.From search and rescue to spam filtering and driverless cars, Bayes is used in many areas of modern day life. We have summed up 3 examples for you and provided an example of how Bayes could be used.An expanded definitions, notations, and proof section.We have included an expanded definitions and notations sections at the end of the booklet. In this section we define core terms more concretely, and also cover additional terms you might be confused about. A recommended readings section.From The Theory That Would Not Die to a few other books, there are a number of recommendations we have for further reading. Take a look! If you are a visual learner and like to learn by example, this intuitive booklet might be a good fit for you. Bayesian statistics is an incredibly fascinating topic and likely touches your life every single day. It is a very important tool that is used in data analysis throughout a wide-range of industries - so take an easy dive into the theorem for yourself with a visual approach!If you are looking for a short beginners guide packed with visual examples, this booklet is for you.

    But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    By investing some of the lesser-known corners of psychology, neuroscience, physics, history, and even crime, all through the lens of trickery and illusion, Fooling Houdini arrives at a host of startling revelations about how the mind works--and why, sometimes, it doesn’t.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    He was especially careful to present new and unfamiliar puzzles that had not been included in such classic collections as those by Sam Loyd and Henry Dudeney. Later, these puzzles were published in book collections, incorporating reader feedback on alternate solutions or interesting generalizations.The present volume contains a rich selection of 70 of the best of these brain teasers, in some cases including references to new developments related to the puzzle. Now enthusiasts can challenge their solving skills and rattle their egos with such stimulating mind-benders as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, The Fork in the Road, Bronx vs. Brooklyn, Touching Cigarettes, and 64 other problems involving logic and basic math. Solutions are included.

    Indeed, logic goes to the very core of what we mean by human intelligence. In this concise, crisply readable book, distinguished professor D. Q. McInerny offers an indispensable guide to using logic to advantage in everyday life. Written explicitly for the layperson, McInerny’s Being Logical promises to take its place beside Strunk and White’s The Elements of Style as a classic of lucid, invaluable advice. As McInerny notes, logic is a deep, wide, and wonderfully varied field, with a bearing on every aspect of our intellectual life. A mastery of logic begins with an understanding of right reasoning–and encompasses a grasp of the close kinship between logical thought and logical expression, a knowledge of the basic terms of argument, and a familiarity with the pitfalls of illogical thinking. Accordingly, McInerny structures his book in a series of brief, penetrating chapters that build on one another to form a unified and coherent introduction to clear and effective reasoning.At the heart of the book is a brilliant consideration of argument–how an argument is founded and elaborated, how it differs from other forms of intellectual discourse, and how it critically embodies the elements of logic. McInerny teases out the subtleties and complexities of premises and conclusions, differentiates statements of fact from statements of value, and discusses the principles and uses of every major type of argument, from the syllogistic to the conditional. In addition, he provides an incisive look at illogical thinking and explains how to recognize and avoid the most common errors of logic.Elegant, pithy, and precise, Being Logical breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. Whether you are a student or a teacher, a professional sharpening your career skills or an amateur devoted to the fine points of thought and expression, you are sure to find this brief guide to effecting reasoning both fascinating and illuminating.From the Hardcover edition.

    Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher

    Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

    Introverts gain energy and power through reflection and solitude. Our culture, however, is geared toward the extrovert. The pressure to enjoy parties, chatter, and interactions can lead people to think that an inward orientation is a problem instead of an opportunity. Helgoe shows that the exact opposite is true: Introverts can capitalize on this inner source of power. INTROVERT POWER is a groundbreaking call for an introvert renaissance, a blueprint for how introverts can take full advantage of this hidden strength in daily life. Supplemented by the voices of several introverts, Helgoe presents a startling look at introvert numbers, influence, and economic might. Revolutionary and invaluable, INTROVERT POWER includes ideas for how introverts can learn to: Claim private spaceCarve out time to thinkBring a slower tempo into daily lifeCreate breaks in conversation and relationshipsDeal effectively with parties, interruptions, and crowds QUIET IS MIGHT. SOLITUDE IS STRENGTH. INTROVERSION IS POWER.

    This jargon-free Missing Manual shows you how to use WordPress and its themes, plug-ins, and widgets to build just about any website you can imagine, from a classy blog to a basic e-commerce site.The important stuff you need to know:Create a blog. Get a free WordPress.com account, choose the right theme, and start publishing content.Build a website. Produce a professional-looking business site by customizing a WordPress theme.Add features. Choose from thousands of WordPress widgets and plug-ins to extend your site’s features.Mix in multimedia. Include slideshows, video clips, webcasts, podcasts, and music players.Involve your readers. Let readers leave comments, contribute to your site, and carry on a dialog.Build an audience. Learn search-engine optimization, measure your reader’s favorite pages, and publicize your site.Create a community. Use social media tools such as “Like” and sharing buttons, and provide RSS feeds of your posts.

    The better news is that by celebrating the inner strengths and uniqueness of being an "innie" THE INTROVERT ADVANTAGE shows introverts, and the extroverts who love them, how to work with instead of against their temperament to enjoy a well-lived life. Covering relationships, parenting - including parenting the introverted child - socialising, and the workplace, here are coping strategies, tactics for managing energy, and hundreds of valuable tips for not only surviving but truly thriving in an extrovert world.

    This book can make you smarter.Mind Performance Hacks provides real-life tips and tools for overclocking your brain and becoming a better thinker. In the increasingly frenetic pace of today's information economy, managing your life requires hacking your brain. With this book, you'll cut through the clutter and tune up your brain intentionally, safely, and productively.Grounded in current research and theory, but offering practical solutions you can apply immediately, Mind Performance Hacks is filled with life hacks that teach you to:Use mnemonic tricks to remember numbers, names, dates, and other flotsam you need to recall. Put down your calculator and perform complex math in your head, with your fingers, or on the back of a napkin. Spark your creativity with innovative brainstorming methods. Use effective systems to capture new ideas before they get away. Communicate in creative new ways-even using artificial languages. Make better decisions by foreseeing problems and finding surprising solutions. Improve your mental fitness with cool tricks and games.While the hugely successful Mind Hacks showed you how your brain works, Mind Performance Hacks shows you how to make it work better.