This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

     Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started

    This new compilation of her published work features pieces on why you should pursue purpose over passion, embrace negative thinking, see the wisdom in daily routine, and become aware of the cognitive biases that are creating the way you see your life. Some of these pieces have never been seen; others have been read by millions of people around the world. Regardless, each will leave you thinking: this idea changed my life.

    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.

    Drawing on the success of Calm, the #1 app for sleep, meditation and relaxation, Michael Acton Smith writes the ultimate guide to good sleep.Beautifully illustrated and packed with fascinating facts and anecdotes, this book contains life-changing tips. At once a bedside companion and a sleeping aide, The Magic of Sleep will be your solution to a better sleeping life, improving each of your waking hours.- Reduce your sleepless nights by finding the perfect soundtrack for dozing off - Learn the new science of sleep, including how to create ideas while you're asleep - Discover the best recipes for home-made drinks that will make you drowsy- Get to know your subconscious by starting a sleep journal and exploring lucid dreamingIt's time to optimize sleep.

    Yet, when it comes to diagnosing difficult cases, the clinician’s strongest asset might just be one of the oldest tools of the medical profession—careful listening. True Medical Detective Stories is a fascinating compendium of nineteen true-life medical cases, each solved by clinical deduction and facilitated by careful listening. These accounts present puzzling low-tech cases—most of them serious, some humorous—that were solved either at the bedside or by epidemiological studies. Dr. Clifton Meador’s book is a wonderful contribution to the genre of medical detective stories mastered by the legendary Berton Roueché. As a staff writer at The New Yorker from 1944 until his death fifty years later, Roueché popularized this form, which has provided source material for feature films and most recently supplied scenarios featured in medical television dramas, such as House. While Hollywood frequently oversimplifies and elides the real clinical situations, True Medical Detective Stories sets the record straight with a voice of authority and an engaging style rooted in the fact that most of the cases presented involve Dr. Meador’s actual patients. Dr. Meador discovered Berton Roueché’s writing as a teenager, when he first read Eleven Blue Men. In an astonishing twist of fate, Roueché, in later years, traveled to Nashville to meet with Dr. Meador and discuss one of his cases, with Roueché’s account published posthumously under the title, The Man Who Grew Two Breasts. In a fitting tribute to Roueché, this perplexing case is revisited by Dr. Meador in the opening chapter of this highly enjoyable book. True Medical Detective Stories is a captivating read that will keep you marveling over the idiosyncrasies of the human body and the ingenuity of the human mind.

    Since 2008 the fiendishly difficult quiz show has been challenging contestants to find connections between apparently unrelated clues.The Only Connect Quiz Book collects over 200 of the most entertaining and perplexing challenges from the team behind the BBC’s hugely popular quiz show - including many new (never broadcast) questions. Covering each of the show’s four rounds – Connections, Sequences, the Connecting Wall and Missing Vowels – and with introductions from presenter Victoria Coren Mitchell, here is your chance to put your own sleuthing and quizzical knowledge to the Only Connect test.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    It’ll have you scratching your head wondering why we even bother to go to school.Think Magellan was the first man to circumnavigate the globe, baseball was invented in America, Henry VIII had six wives, Mount Everest is the tallest mountain? Wrong, wrong, wrong, and wrong again. You’ll be surprised at how much you don’t know! Check out THE BOOK OF GENERAL IGNORANCE for more fun entries and complete answers to the following:How long can a chicken live without its head?About two years.What do chameleons do?They don’t change color to match the background. Never have; never will. Complete myth. Utter fabrication. Total Lie. They change color as a result of different emotional states.How many legs does a centipede have?Not a hundred.How many toes has a two-toed sloth?It’s either six or eight.Who was the first American president?Peyton Randolph.What were George Washington’s false teeth made from?Mostly hippopotamus.What was James Bond’s favorite drink?Not the vodka martini.

    With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.

    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.

    With heartfelt advice, practical wisdom, and examples from the field, Todd Whitaker explains the qualities and practices that distinguish great principals. New features include:Developing an accurate sense of self Understanding the dynamics of change Dealing with negative or ineffective staff membersOne of the nation's leading experts on staff motivation, teacher leadership, and principal effectiveness, Todd Whitaker has written over 20 powerful books for educators of every level. Discover what you can do differently.

    Intuition and computational abilities are stressed. Original material on DE and multiple integrals has been expanded.

    Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

    To reach this unique audience, Whitlock and Schluter motivate learning with interesting biological and medical examples; they emphasize intuitive understanding; and they focus on real data. The book covers basic topics in introductory statistics, including graphs, confidence intervals, hypothesis testing, comparison of means, regression, and designing experiments. It also introduces the principles behind such modern topics as likelihood, linear models, meta-analysis and computer-intensive methods. Instructors and students consistently praise the book's clear and engaging writing, strong visualization techniques, and its variety of fascinating and relevant biological examples.