. . like a pendulum? These may not look like math questions, but they are-because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life-by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea! Here are twenty-six bite-size chapters on the hidden mathematical marvels that encrypt our email, enchant our senses, and even keep us alive-from the sine waves we hear as "music" to the mysterious golden ratio. This book will change your mind about what math can be. We are all born mathematicians-and It's a Numberful World.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.

    of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve

    This new and expanded third edition continues to offer students and readers the best one-volume introduction to the field.The bewildering variety of approaches, theorists and technical language is lucidly and expertly unraveled. Unlike many books which assume certain positions about the critics and the theories they represent, Peter Barry allows readers to develop their own ideas once first principles and concepts have been grasped.

    Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.

    But distinguished poets Mark Strand and Eavan Boland have produced a clear, super-helpful book that unravels part of the mystery of great poems through an engaging exploration of poetic structure. Strand and Boland begin by promising to "look squarely at some of the headaches" of poetic form: the building blocks of poetry. The Making of a Poem gradually cures many of those headaches.Strand, who's won the Pulitzer Prize and a MacArthur Fellowship and has served as U.S. Poet Laureate, and Boland, an abundantly talented Irish poet who has also written a beautiful book of essays on writing and womanhood, are both accustomed to teaching. Strand, now at the University of Chicago, and Boland, a Stanford professor, draw upon decades in the classroom to anticipate most questions.Ever wonder what a pantoum is? A villanelle? A sestina? With humor, patience, and personal anecdotes, Strand and Boland offer answers. But the way they answer is what makes this book stand out. The forms are divided into three overarching categories: metrical forms, shaping forms, and open forms. "Metrical forms" include the sonnet, pantoum, and heroic couplet. "Shaping forms" explains broader categories, like the elegy, ode, and pastoral poem. And "open forms" offers new takes on the traditional blueprints, exploring poems like Allen Ginsberg's "America."Each established form is then approached in three ways, followed by several pages of outstanding poems in that form. First, the editors offer a "page at a glance" guide, with five or six characteristics of that specific form presented in a brief outline. For example, the pantoum is defined like this:   1) Each pantoum stanza must be four lines long.   2) The length is unspecified but the pantoum must begin and end with the same line.   3) The second and fourth lines of the first quatrain become the first and third line of the next, and so on with succeeding quatrains.   4) The rhyming of each quatrain is abab.   5) The final quatrain changes this pattern.   6) In the final quatrain the unrepeated first and third lines are used in reverse as second and fourth lines.With this outline, it's easy to identify the looping pantoum. In the second piece of the pantoum section, Strand and Boland include a "History of the Form" section, again condensed to one page. Here, we learn that the pantoum is "Malayan in origin and came into English, as so many other strict forms have, through France." Indeed, both Victor Hugo and Charles Baudelaire tried their hands at the pantoum. As always, Strand and Boland offer some comparison to the other forms, which helps explain why a poet might choose to write a pantoum over, say, a sonnet or a sestina:"Of all verse forms the pantoum is the slowest. The reader takes four steps forward, then two steps back. It is the perfect form for the evocation of a past time." Next, the editors include "The Contemporary Context," which introduces several of the pantoums of this century. Finally, in what may be the book's best feature, they provide a close-up of a pantoum, an approach they repeat for each form discussed. In this case, it's the "Pantoum of the Great Depression" by Donald Justice. The editors offer some biographical information on Justice, and then they map out how that specific poem gets its power. This "poet's explanation" of the workings of a poem is invaluable, especially when it comes from leading poets such as Stand and Boland. What's more, these remarks are transferable. Reading how Strand and Boland view a dozen poems transforms the way one reads. With any future poem, you can look for what Strand and Boland have found in the greats.The editors offer their readers a great start, with a list for further reading and a helpful glossary. If anything can get a person excited about poetry, this selection of poems can -- though the editors, as working poets, readily admit their choices are idiosyncratic. Gems here include the best work of lesser-known poets, including several "poets' poets." For example, Edward Thomas, a prominent reviewer in his day and a close friend of Robert Frost's, is represented by "Rain," an absolutely brilliant blank-verse poem which begins:      Rain, midnight rain, nothing but wild rain      On this bleak hut, and solitude, and me      Remembering again that I shall die      And neither hear the rain nor give it thanks      For washing me cleaner than I have been       Since I was born into this solitude. Thomas's poem -- and other treasures here -- introduces readers to what and how poets read to learn to make poems. Of course, many of the usual suspects are found here, but the surprises are exciting, and even the old favorites seem new when the editors explain why and how a particular poem seems beautiful. This is particularly evident in their discussion of Edna St. Vincent Millay's rushing, initially breathless sonnet "What Lips My Lips Have Kissed, and Where, and How, " which reads:      What lips my lips have kissed, and where, and why,      I have forgotten, and what arms have lain      Under my head till morning, but the rain      Is full of ghosts tonight, that tap and sigh      Upon the glass and listen for reply,       And in my heart there stirs a quiet pain      For unremembered lads that not again      Will turn to me at midnight with a cry.       Thus in the winter stands the lonely tree      Nor knows what birds have vanquished one by one,      Yet knows its boughs more silent than before:       I cannot say what loves have come and gone,       I only know that summer sang in me      A little while, that in me sings no more. In the "close-up" section, Strand and Boland offer an biographical paragraph that mentions that in 1923, Millay became the first woman to win a Pulitzer Prize in Poetry. They then discuss Millay's "distinctive and unusual" approach to the sonnet form: "Instead of taking the more leisurely pace of the public sonnet that had been the 19th-century model, she drove her sonnets forward with a powerful lyric music and personal emphasis."The editors point out Millay's heavy reliance on assonance and alliteration, and then note how she takes advantage of the different tempos the sonnet offers:"Here she uses her distinctive music and high diction to produce an unusually quick-paced poem in the first octave and then a slower, more reflective septet where the abandoned lover becomes a winter tree. This ability of the sonnet, to accommodate both lyric and reflective time, made it a perfect vehicle for highly intuitive twentieth-century poets like Millay."That simple explanation of the sonnet as a form able to "accommodate both lyric and reflective time" helps clarify most sonnets. But Strand and Boland are careful not to explain everything. The deepest beauty, as they explain in their introductory essays on their attraction to form, is built on mystery. And it is that attempt to understand the greatest mysteries that defines the greatest poems. Similarly, mystery often drives poets to write, as Strand explains in his essay on Archibald MacLeish's "You, Andrew Marvell," which Strand describes as the first poem he wished he had written himself in his early years as a poet:"Although I no longer wish I had written 'You, Andrew Marvell,' I wish, however, that I could write something like it, something with its sweep, its sensuousness, its sad crepuscular beauty, something capable of carving out such a large psychic space for itself&. There is something about it that moves me in ways I don't quite understand, as it were communicating more than what it actually says. This is often the case with good poems -- they have a lyric identity that goes beyond whatever their subject happens to be."With this book, Strand and Boland help quantify the explicable parts of a "lyric identity." Understanding form, the editors believe, is one way to begin understanding a poem's beauty. This lucid, useful book is a wonderful guide to that mysterious music.—Aviya Kushner

    In Tharoorosaurus, he shares fifty-three examples from his vocabulary: unusual words from every letter of the alphabet. You don't have to be a linguaphile to enjoy the fun facts and interesting anecdotes behind the words! Be ready to impress-and say goodbye to your hippopotomonstrosesquipedaliophobia!

    The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born. From the invention of scripts and alphabets to the long-misunderstood talking drums of Africa, Gleick tells the story of information technologies that changed the very nature of human consciousness. He provides portraits of the key figures contributing to the inexorable development of our modern understanding of information: Charles Babbage, the idiosyncratic inventor of the first great mechanical computer; Ada Byron, the brilliant and doomed daughter of the poet, who became the first true programmer; pivotal figures like Samuel Morse and Alan Turing; and Claude Shannon, the creator of information theory itself. And then the information age arrives. Citizens of this world become experts willy-nilly: aficionados of bits and bytes. And we sometimes feel we are drowning, swept by a deluge of signs and signals, news and images, blogs and tweets. The Information is the story of how we got here and where we are heading.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    “The most entertaining logician and set theorist who ever lived” (Martin Gardner) gives us an encore to The Lady or the Tiger?-a fiendishly clever, utterly captivating new collection of 225 brainteasers, puzzles, and paradoxes.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record

    Just read this till the end You don’t have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example:Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn’t hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn’t have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn’t you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don’t have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email for $97 is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will be charged $97. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up.

    The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for shastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.This book is being published in two volumes. This second volume develops shastic calculus, martingales, risk-neutral pricing, exotic options and term structure models, all in continuous time.Masters level students and researchers in mathematical finance and financial engineering will find this book useful.Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.