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.

    Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    While such visualizations can better inform us, they can also deceive by displaying incomplete or inaccurate data, suggesting misleading patterns—or simply misinform us by being poorly designed, such as the confusing “eye of the storm” maps shown on TV every hurricane season.Many of us are ill equipped to interpret the visuals that politicians, journalists, advertisers, and even employers present each day, enabling bad actors to easily manipulate visuals to promote their own agendas. Public conversations are increasingly driven by numbers, and to make sense of them we must be able to decode and use visual information. By examining contemporary examples ranging from election-result infographics to global GDP maps and box-office record charts, How Charts Lie teaches us how to do just that.

    Through the years, the group's trademark razor-sharp choreography, finely tuned harmonies, and compelling vocals made them the exemplars of the Motown style. This is the frank, revealing story of the legendary supergroup, told by its founder.

    For two decades, John Mighton has developed strategies for fostering intellectual potential in all children through learning math. Math, Mighton says, provides us with mental tools of incredible power. When we learn math we learn to see patterns, to think logically and systematically, to draw analogies, to perceive risk, to understand cause and effect--among many other critical skills. Yet we tolerate and in fact expect a vast performance gap in math among students, and live in a world where many adults aren't equipped with these crucial tools. This learning gap is unnecessary, dangerous and tragic, he cautions, and it has led us to a problem of intellectual poverty which is apparent everywhere--in fake news, political turmoil, floundering economies, even in erroneous medical diagnoses. In All Things Being Equal, Mighton argues that math study is an ideal starting point to break down social inequality and empower individuals to build a smarter, kinder, more equitable world. Bringing together the latest cognitive research and incremental learning strategies, Mighton goes deep into the classroom and beyond to offer a hopeful--and urgent--vision for a numerate society.

    This guide also helps you understand the many data-mining techniques in use today.Based on an MBA course Provost has taught at New York University over the past ten years, Data Science for Business provides examples of real-world business problems to illustrate these principles. You’ll not only learn how to improve communication between business stakeholders and data scientists, but also how participate intelligently in your company’s data science projects. You’ll also discover how to think data-analytically, and fully appreciate how data science methods can support business decision-making.Understand how data science fits in your organization—and how you can use it for competitive advantageTreat data as a business asset that requires careful investment if you’re to gain real valueApproach business problems data-analytically, using the data-mining process to gather good data in the most appropriate wayLearn general concepts for actually extracting knowledge from dataApply data science principles when interviewing data science job candidates

    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

    No practical aspect of instrumentation for the orchestra is neglected, and comprehensive treatment is given to each significant component. The author approaches orchestration from the premise that the principles can best be presented by analysis of music as it has been written.The essentials of instrument combination discussed here are those which can be observed operating in the scores of great composers from Haydn, Mozart, and Beethoven down to our own day.Orchestration is notable for the clarity and logic of its organization. From a consideration of the individual instruments and their technical problems the author skillfully develops his analysis of orchestration, covering his analysis of orchestration, covering instrumentation of primary and secondary melodies, part-writing, chords, and contrapuntal techniques. Finally, he discusses typical problems in orchestration together with some examples of their solutions.Orchestration is profusely illustrated with hundreds of musical examples and with drawings of the various musical instruments that make up the modern orchestra.

    Mixerman is a recording engineer working with a famous producer on the debut album of an unknown band with a giant recording budget. Mixerman is supposed to be writing about recording techniques, but somehow, through that prism, he has hit upon a gripping story. Like all great narratives, Mixerman's diary has many anti-heroes for whom we, the readers, can have nothing but contempt. The band consists of the four most dislikable human beings you can imagine. The singer is vain and pretentious. The guitarist is a serious depressive. The drummer is as "dumb as cotton," and the bassist is merely mean and petty, making him the only one that Mixerman can stand. All four of them hate each other's guts, and they haven't even been on tour yet. Mixerman takes you through the recording process of a bidding war band in over their heads with a famous record producer (also in over his head). Many find Mixerman's diary entries side-splittingly funny. Some find them maddening. And a select few feel they are the most despicable accountings of record-making ever documented.

    Recording Unhinged: Creative and Unconventional Music Recording Techniques dares you to "unlearn" safe record-making, to get out from behind the windshield, stick your head out the sunroof, and put the pedal to the metal! Sylvia Massy and her cohort of celebrity music industry producers, engineers, and recording stars discard fixed notions about how music should be recorded and explore techniques that fall outside the norm and yield emotionally powerful, incredibly personal, gut-wrenching, and even scary recordings. Joined by Hans Zimmer, Al Schmitt, Bruce Swedien, Jack Joseph Puig, Dave Pensado, Tchad Blake, Bob Clearmountain, Linda Perry, Michael Franti, Michael Beinhorn, Bob Ezrin, Geoff Emerick, and many others, this book has the stories, tips, recipes, photos, advice, diagrams, exercises, illustrations, and jokes that you won't find in any other instructional manual. And what about that cover? Recording Unhinged contains many eye-popping illustrations by Sylvia herself. As if being a celebrated producer isn't enough, Sylvia's iconic illustrations bring real and imaginary recording situations to life. Catchy Bass Lines? Engineering Marvels? How to Mic a Chicken?!! Do a swan-dive into the unknown and make studio magic with inspiration from Recording Unhinged.

    In this book, you’ll learn how many of the most fundamental data science tools and algorithms work by implementing them from scratch. If you have an aptitude for mathematics and some programming skills, author Joel Grus will help you get comfortable with the math and statistics at the core of data science, and with hacking skills you need to get started as a data scientist. Today’s messy glut of data holds answers to questions no one’s even thought to ask. This book provides you with the know-how to dig those answers out. Get a crash course in Python Learn the basics of linear algebra, statistics, and probability—and understand how and when they're used in data science Collect, explore, clean, munge, and manipulate data Dive into the fundamentals of machine learning Implement models such as k-nearest Neighbors, Naive Bayes, linear and logistic regression, decision trees, neural networks, and clustering Explore recommender systems, natural language processing, network analysis, MapReduce, and databases

    Now he shows you how to help the children in your life experience the same benefits.You don't have to be an expert on classical music to use this wise and compassionate book. Focusing each chapter on a particular age -- from prenatal through age ten -- Don Campbell explains how music is the perfect tool to improve children's language, movement, and social skills at home, school, and play. He presents dynamic, inventive ways to invigorate a child's imagination, and supplies simple exercises, musical menus, and entertaining games that will improve your child's memory. At once practical and profound, The Mozart Effect® for Children is an invaluable resource for all parents and educators who want to help their children imagine, achieve, and grow in every aspect of their lives.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.