This revised edition includes a CD-Rom with exercises that will help the student have a better understanding of equations, formulas, etc.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    Now in book form for the first time, their simple method will teach you how to use basic design tools to create a life that will work for you.Using real-life stories and proven techniques like reframing, prototyping and mind-mapping, you will learn how to build your way forwards, step-by-positive-step, to a life that’s better by a design of your own making.Because a well-designed life means a life well-lived.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    Keeping themorganized can be a challenge, but an organized classroom is essential and allows students and the teacher to fully focus on learning by eliminating distractions. Organized Teacher, Happy Classroom provides practical, proven methods for maintaining an organized classroom throughout the entire school year.Inside you’ll find:• Strategies for managing students’ papers, curriculum material, and essential paperwork• Time management tips to maximize your instruction time and lesson planning• Organizing systems you can teach your students to improve self reliance andaccountability• Checklists for starting and ending the year well organized• Helpful forms and templates you can use in your classroom• Plans for arranging a classroom that promotes positive student participation• Support to simplify your classroom• Efficient storage solutions for all teacher and student materialsWhether you teach primary, intermediate, middle school or high school, this bookwill help you organize your time, paperwork, and classroom spaces.

    Packed with math activities and puzzles, compelling stories of math geniuses, math facts and stats, and more, How to be a Math Genius makes the dreaded subject of math both engaging and relevant.

    Learning the work of marriage. Navigating the bumpy terrain of parenting. Maintaining social relationships. Facing grave hardship. Finding contentment in our career.As the years pass by, we sense how the good things in life are so often eclipsed by stress. We find ourselves doing everything we can just to endure adulthood, all the while wondering whether we are actually enjoying it. This is exactly why Dr. Anthony T. DeBenedet decided to write Playful Intelligence: The Power of Living Lightly in a Serious World, to show readers how playfulness helps us counterbalance the seriousness of adulthood."Five years ago, my life was becoming more intense and stressful," DeBenedet says. "My relationships, clinical work as a physician, and basic interactions with the world were blurring into a frazzled mosaic. Going through the motions became my norm, and every day brought busyness and exhaustion. I thought about whether I was depressed. I didn't think I was. Anxious? Sure, but aren't we all anxious on some level? I also thought about the lifestyle factors that could be making me feel this way. Was I getting enough sleep? Was I exercising regularly? Was I eating healthy? Was I playing and remembering to be playful?"Today, we live in a taxing world. The endless pressure to keep up with our responsibilities and the daily headlines swarming around us can be overwhelming. DeBenedet's work comes at a time when stress, uncertainty, and intensity levels are high. Playful Intelligence shows adults that there is a way to live lighter--and smarter--as we navigate the seriousness of adulthood. It's not about taking life less seriously; it's about taking ourselves less seriously.The book's core chapters are devoted to exploring the effects and benefits of five playful qualities: imagination, sociability, humor, spontaneity, and wonder. By examining playfulness as a sum of its parts, readers will gain a working awareness of its power and be able to apply playful principles to their own lives, bringing the magic of childhood back into their day-to-day existence. The book also offers practical suggestions on how to make life more playful in nature.

    Based on principles, research, and real life examples ranging from Harvard University, Mikhail Gorbatsjov, two kissing boxers, and Sun Tze to John Rambo, Think Like a Lawyer Don't Act Like One can be used when dealing with grumpy police officers, angry neighbors, unwilling debtors, nasty lawyers, and other conflict seekers.Each strategy is thoroughly tested and can be used at the kitchen table, on the street, and in the boardroom. All seventy-five rules are illustrated in a funny way.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Filled with hundreds of ways to simplify nearly every college situation, this guide tells you just what to do when your professor assigns you a twenty-page paper or you run out of clean dishes in your dorm room (chip bag bowl, anyone?).So stop making college harder than it should be! With these everyday hacks, you'll breeze through each semester as you finish assignments and tasks quicker than ever before!

    At thirty years old, Gabriel Wyner speaks six languages fluently.  He didn’t learn them in school -- who does? -- rather, he learned them in the past few years, working on his own and practicing on the subway, using simple techniques and free online resources. In Fluent Forever Wyner reveals what he’s discovered.   The greatest challenge to learning a foreign language is the challenge of memory; there are just too many words and too many rules. For every new word we learn, we seem to forget two old ones, and as a result, fluency can seem out of reach. Fluent Forever tackles this challenge head-on. With empathy for the language-challenged and abundant humor, Wyner deconstructs the learning process, revealing how to build a foreign language in your mind from the ground up.  Starting with pronunciation, you’ll learn how to rewire your ears and turn foreign sounds into familiar sounds. You'll retrain your tongue to produce those sounds accurately, using tricks from opera singers and actors. Next, you'll begin to tackle words, and connect sounds and spellings to imagery, rather than translations, which will enable you to think in a foreign language.  And with the help of sophisticated spaced-repetition techniques, you'll be able to memorize hundreds of words a month in minutes every day. Soon, you'll gain the ability to learn grammar and more difficult abstract words--without the tedious drills and exercises of language classes and grammar books.  This is brain hacking at its most exciting, taking what we know about neuroscience and linguistics and using it to create the most efficient and enjoyable way to learn a foreign language in the spare minutes of your day.

    Written in easy to read language, and packed with practical, easily applied tips, this eBook contains everything you need to know to take great notes.To make sure you get the most value for money possible I've also included the FREE eBook: "How to Study: 20 Tips". It contains my best best advice on time management, goal setting and how to get the best grades with the least effort. It's advice that also transfers brilliantly well to professionals, the self employed and anyone working toward mastery of a given field.

    Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.

    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.