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Introduction to Enumerative and Analytic Combinatorics by Miklos Bona
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Best Practice: Bringing Standards to Life in America's Classrooms
Steven Zemelman - 2012
But what does quality mean? What does it look like in real classrooms? It looks like the teaching in this book. -Steven Zemelman, Harvey Smokey Daniels, and Arthur Hyde
Best Practice
is back, and with it Steve Zemelman, Smokey Daniels, and Arthur Hyde invite you to greet today's most important educational challenges with proven, state-of-the-art teaching. Linguistic diversity, technology, Common Core, high-stakes testing-no matter the hurdle, Best Practice teaching supports powerful learning across our profession.
Best Practice
, Fourth Edition, is the ultimate guide to teaching excellence. Its framework of seven Best Practice Structures and cutting-edge implementation strategies are proven across the grades and subject areas. BP4 creates common ground for teachers, leaders, and principals by recommending practices drawn from the latest scientific research, professional consensus, and the innovative classrooms of exemplary teachers.BP4 puts top-quality teaching at the fingertips of individual practitioners by sharing real-life instructional scenes that define classroom excellence, increase learning, and improve students' life opportunities. It's also more valuable than ever to PLCs and school reform initiatives thanks to:plans and strategies for exceeding state and Common Core Standards cohesive principles and common language that strengthen professional collaboration classroom vignettes that show teachers and kids at work chapters on reading, writing, math, science, and social studies that support unified instructional goals special attention to technology in the classroom, special education, ELLs, struggling readers, and the arts. This new educational era demands highly-effective, high-quality instruction that makes a difference for students. Fortunately with Zemelman, Daniels, and Hyde's help every educator can be a world-class, life-changing teacher-a Best Practice teacher.
Calculus
Dale E. Varberg - 1999
Covering various the materials needed by students in engineering, science, and mathematics, this calculus text makes effective use of computing technology, graphics, and applications. It presents at least two technology projects in each chapter.
The Signal and the Noise: Why So Many Predictions Fail—But Some Don't
Nate Silver - 2012
He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of FiveThirtyEight.com. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data. Most predictions fail, often at great cost to society, because most of us have a poor understanding of probability and uncertainty. Both experts and laypeople mistake more confident predictions for more accurate ones. But overconfidence is often the reason for failure. If our appreciation of uncertainty improves, our predictions can get better too. This is the "prediction paradox": The more humility we have about our ability to make predictions, the more successful we can be in planning for the future.In keeping with his own aim to seek truth from data, Silver visits the most successful forecasters in a range of areas, from hurricanes to baseball, from the poker table to the stock market, from Capitol Hill to the NBA. He explains and evaluates how these forecasters think and what bonds they share. What lies behind their success? Are they good-or just lucky? What patterns have they unraveled? And are their forecasts really right? He explores unanticipated commonalities and exposes unexpected juxtapositions. And sometimes, it is not so much how good a prediction is in an absolute sense that matters but how good it is relative to the competition. In other cases, prediction is still a very rudimentary-and dangerous-science.Silver observes that the most accurate forecasters tend to have a superior command of probability, and they tend to be both humble and hardworking. They distinguish the predictable from the unpredictable, and they notice a thousand little details that lead them closer to the truth. Because of their appreciation of probability, they can distinguish the signal from the noise.
Fermat's Enigma
Simon Singh - 1997
xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.
The Calculus Story: A Mathematical Adventure
David Acheson - 2017
It is the mathematical method for the analysis of things that change, and since in the natural world we are surrounded by change, the development of calculus was a huge breakthrough in the history of mathematics. But it is also something of a mathematical adventure, largely because of the way infinity enters at virtually every twist and turn...In The Calculus Story David Acheson presents a wide-ranging picture of calculus and its applications, from ancient Greece right up to the present day. Drawing on their original writings, he introduces the people who helped to build our understanding of calculus. With a step by step treatment, he demonstrates how to start doing calculus, from the very beginning.
The Universe and the Teacup: The Mathematics of Truth and Beauty
K.C. Cole - 1998
In The Universe and the Teacup, K. C. Cole demystifies mathematics and shows us-with humor and wonderfully accessible stories-why math need not be frightening. Using the O. J. Simpson trial, the bell curve, and Emmy Noether, the nineteenth-century woman scientist whose work was essential for Einstein's theory of relativity, Cole helps us see that more than just being a tool, math is a key to understanding the beauty of everything from rainbows to relativity.
Big Data Baseball: Math, Miracles, and the End of a 20-Year Losing Streak
Travis Sawchik - 2015
Pittsburghers joked their town was the city of champions…and the Pirates. Big Data Baseball is the story of how the 2013 Pirates, mired in the longest losing streak in North American pro sports history, adopted drastic big-data strategies to end the drought, make the playoffs, and turn around the franchise's fortunes.Award-winning journalist Travis Sawchik takes you behind the scenes to expertly weave together the stories of the key figures who changed the way the small-market Pirates played the game. For manager Clint Hurdle and the front office staff to save their jobs, they could not rely on a free agent spending spree, instead they had to improve the sum of their parts and find hidden value. They had to change. From Hurdle shedding his old-school ways to work closely with Neal Huntington, the forward-thinking data-driven GM and his team of talented analysts; to pitchers like A. J. Burnett and Gerrit Cole changing what and where they threw; to Russell Martin, the undervalued catcher whose expert use of the nearly-invisible skill of pitch framing helped the team's pitchers turn more balls into strikes; to Clint Barmes, a solid shortstop and one of the early adopters of the unconventional on-field shift which forced the entire infield to realign into positions they never stood in before. Under Hurdle's leadership, a culture of collaboration and creativity flourished as he successfully blended whiz kid analysts with graybeard coaches—a kind of symbiotic teamwork which was unique to the sport.Big Data Baseball is Moneyball on steroids. It is an entertaining and enlightening underdog story that uses the 2013 Pirates season as the perfect lens to examine the sport's burgeoning big-data movement. With the help of data-tracking systems like PitchF/X and TrackMan, the Pirates collected millions of data points on every pitch and ball in play to create a tome of color-coded reports that revealed groundbreaking insights for how to win more games without spending a dime. In the process, they discovered that most batters struggled to hit two-seam fastballs, that an aggressive defensive shift on the field could turn more batted balls into outs, and that a catcher's most valuable skill was hidden. All these data points which aren't immediately visible to players and spectators, are the bit of magic that led the Pirates to spin straw in to gold, finish the 2013 season in second place, end a twenty-year losing streak.
The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg
Robert P. Crease - 2008
Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.
Sober Positive: Happily quit drinking and discover the unlimited possibilities waiting for you beyond alcohol
Julia Carson - 2019
Sober Positive is both the story of her journey over the last two years and a detailed road map for anyone else looking for their own way out of the alcohol maze.You may not believe this now, but it is entirely possible to stop drinking and be completely happy. To achieve true freedom from alcohol. To be sober positive. In this book you will learn how to change your mindset about alcohol, how to assemble your own personal sobriety toolbox and how to cope with sober firsts like social events, holidays and Christmas. You will gain insight into why you might be struggling with alcohol and how you can address other compulsive behaviours which may arise in early sobriety. You will develop detailed strategies for self-care and be guided though the deeper work needed to support your physical and mental wellbeing and truly thrive as a non-drinker. You will be helped to navigate changing relationships with partners, children and friends and learn some surprising truths about our best friend booze.So, if you're drinking too much and it's making you miserable, why not take a chance on being sober and happy?You might just find your best life along the way. Julia did and this book contains everything she has learned in the past two years that helped her get there.
The Last Archide: Complete Series
Chad R. Odom - 2019
Government titans use sports heroes known as Centauri for political influence. Meanwhile, warriors from another time known as Archides are backed into a corner. The man who brought down their galaxy-spanning empire, is taking advantage of the turmoil and threatens to conquer this world as he did their ancient home. Oryan Jeckstadt is born a slave. His father, a disgraced general raises him alone in the prison he doomed his son to. With the promise of securing his father’s freedom, he is ripped from the Quarter and forced into the Centauri Games. Eleysa Celeste has been orphaned. Loving grandparents do their best but her anger is only flamed by cruelty of the children around her. A local Centauri training facility owner takes her under his wing. She and Oryan are on a crash course that could decide the fate of billions. Desperate for victory, the Archides try to recruit Oryan to their cause yet his only desire is to protect the woman he loves and their young son.
Alan Turing: The Enigma
Andrew Hodges - 1983
His breaking of the German U-boat Enigma cipher in World War II ensured Allied-American control of the Atlantic. But Turing's vision went far beyond the desperate wartime struggle. Already in the 1930s he had defined the concept of the universal machine, which underpins the computer revolution. In 1945 he was a pioneer of electronic computer design. But Turing's true goal was the scientific understanding of the mind, brought out in the drama and wit of the famous "Turing test" for machine intelligence and in his prophecy for the twenty-first century.Drawn in to the cockpit of world events and the forefront of technological innovation, Alan Turing was also an innocent and unpretentious gay man trying to live in a society that criminalized him. In 1952 he revealed his homosexuality and was forced to participate in a humiliating treatment program, and was ever after regarded as a security risk. His suicide in 1954 remains one of the many enigmas in an astonishing life story.
The Man Who Knew Infinity: A Life of the Genius Ramanujan
Robert Kanigel - 1991
Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.
A Mathematician's Apology
G.H. Hardy - 1940
H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
Statistics for Business & Economics
James T. McClave - 1991
Theoretical, yet applied. Statistics for Business and Economics, Eleventh Edition, gives you the best of both worlds. Using a rich array of applications from a variety of industries, McClave/Sincich/Benson clearly demonstrates how to use statistics effectively in a business environment.The book focuses on developing statistical thinking so the reader can better assess the credibility and value of inferences made from data. As consumers and future producers of statistical inferences, readers are introduced to a wide variety of data collection and analysis techniques to help them evaluate data and make informed business decisions. As with previous editions, this revision offers an abundance of applications with many new and updated exercises that draw on real business situations and recent economic events. The authors assume a background of basic algebra.