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Lectures on Geometry by Edward Witten
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Pythagoras: His Lives And The Legacy Of A Rational Universe
Kitty Ferguson - 2010
Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.
Light in the Darkness: Black Holes, the Universe, and Us
Heino Falcke - 2020
A man of faith ordained in the Protestant tradition, Heino Falcke wrestles with the ways in which black holes force us to confront the boundary where human life ends and the celestial begins. He also ponders why black holes are difficult for most of us to understand—comparing it to our inability to envisage our own inevitable death.Black holes develop in outer space when a massive star dies, and its matter is condensed. That extreme amount of mass contained in a small space generates a gigantic amount of gravitational force, allowing the black hole to suck up everything that comes near, including light. These astronomical wonders are the subject of our greatest scientific and philosophical theorizing—the journey to a black hole would be the journey to the end of time itself. In this way, Falcke regards them as the most exquisite representations of fear, death . . . and, surprisingly, the divine.Empirical and profound, A Light in the Darkness is the first work to examine both the physical nature and spiritual meaning of black holes, those astrophysical mysteries Falcke, calls “the epitome of merciless destruction.”
Mathematician's Delight
W.W. Sawyer - 1943
Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.
How to read and do proofs
Daniel Solow - 1982
Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.
Undiluted Hocus-Pocus: The Autobiography of Martin Gardner
Martin Gardner - 2013
Gardner's illuminating autobiography is a candid self-portrait by the man evolutionary theorist Stephen Jay Gould called our single brightest beacon for the defense of rationality and good science against mysticism and anti-intellectualism.Gardner takes readers from his childhood in Oklahoma to his varied and wide-ranging professional pursuits. He shares colorful anecdotes about the many fascinating people he met and mentored, and voices strong opinions on the subjects that matter to him most, from his love of mathematics to his uncompromising stance against pseudoscience. For Gardner, our mathematically structured universe is undiluted hocus-pocus--a marvelous enigma, in other words.Undiluted Hocus-Pocus offers a rare, intimate look at Gardner's life and work, and the experiences that shaped both.
INSULTS!: 100+ Funny Insults, Comedy, and Humor! (Funny & Hilarious Joke Books)
Various - 2014
Jokes, humor, and comedy come in many forms. Whether it is a few funny jokes, a silly joke book, or a funny movie, we can all benefit from the positive effects of comedy and humor! You'll love this hilarious joke book. Share a funny joke with a friend today! Kindle Unlimited and Amazon Prime Members can borrow this book for FREE!
100+ funny insults and jokes
Hilarious insults, comedy, and humor
Hours of funny jokes and entertainment
With this MASSIVE collection of funny insult jokes you can make everyone laugh! This ebook full of funny insults is perfect for any occasion. You and your friends will laugh for hours at this funny joke book. Uses for funny jokes...
Can aid in story-telling
Great for conversation starters
Improves conversation and social skills
Can make others laugh, smile, and be more playful
Can lighten tense moods and create rapport with others
Are you looking for funny and hilarious insult jokes? You’re so dumb… you thought the Harlem Shake was a drink!
LOL
You’re so fat… you fell out of both sides of the bed!
HAHA
You’re so poor… you wash your paper plates!
LOL
Your feet are so big your shoes need license plates! This Hilarious Joke Book has 100+ Funny Insults About...
You’re so dumb insults
You’re so ugly insults
You’re so fat insults
You’re so skinny insults
You’re so poor insults
Other insults…
LOL Funny Jokes Club The LOL Funny Jokes Club is dedicated to comedy. We'll tickle your funny bone with our side-splitting jokes and humor. Whether it's funny and hilarious one-liners, dirty adult jokes, or laugh-out-loud rib tickling knee slappers, the LOL Funny Jokes Club does it all! Scroll up and click "buy" to start laughing now! If for any reason you are unsatisfied, there is a 100% money back guarantee!Tags: insults, jokes, insult joke book, insult, joke books, funny insult jokes, fat jokes, skinny jokes, dumb jokes, stupid jokes, yo momma jokes ebook, ebooks, jokes, funny, kindle joke books, funny jokes, book, comedy, lol, jokes, funny, insults, jokes, haha, joke, laugh, laughing, giggle, humor, comedy, funny, humor, kindle ebooks, joke club, dirty jokes, adult jokes, funny jokes books, hilarious jokes, funny books, funny jokes, laugh, laughter, laughing, funny books, comedy, humor, laughter, e books, ebook download, jokes, joke book, funny jokes, funny joke books
75 Worksheets for Daily Math Practice: Addition, Subtraction, Multiplication, Division: Maths Workbook
Kapoo Stem - 2014
There is one worksheet for each type of math problem including different digits with operations of addition, subtraction, multiplication and division. These varying level of mathematical ability activities help in improving adding, subtracting, multiplying and dividing operation skills of the student by frequent practicing of the worksheets provided.There is nothing more effective than a pencil and paper for practicing some math skills. These math worksheets are ideal for teachers, parents, students, and home schoolers. The companion ebook allows you to take print outs of these worksheets instantly or you can save them for later use. The learner can significantly improve math knowledge by developing a simple habit to daily practice the math drills.Tutors and homeschoolers use the maths worksheets to test and measure the child's mastery of basic math skills. These math drill sheets can save you precious planning time when homeschooling as you can use these work sheets to give extra practice of essential math skills. Parents use these mathematics worksheets for their kids homework practice too.Designed for after school study and self study, it is used by homeschooler, special needs and gifted kids to add to the learning experience in positive ways. You can also use the worksheets during the summer to get your children ready for the upcoming school term. It helps your child excel in school as well as in building good study habits. If a workbook or mathematic textbook is not allowing for much basic practise, these sheets give you the flexibility to follow the practice that your student needs for an education curriculum.These worksheets are not designed to be grade specific for students, rather depend on how much practice they've had at the skill in the past and how the curriculum in your school is organized. Kids work at their own level and their own pace through these activities. The learner can practice one worksheet a day, two worksheets a day, one every alternate day, one per week, two per week or can follow any consistent pattern. Make best use of your judgement.
Black Skin Privilege and the American Dream
David Horowitz - 2013
Weatherman was a fringe group most of whose ideas were rejected by the dominant culture. But unfortunately their views on race were not. In succeeding decades the idea of "white skin privilege" became the new default position for racial crusaders and race hustlers alike who believed that white skin privilege was alive and well in our society -- not because white Americans were actively racist, but because they enjoyed the invisible privileges and prerogatives that go along with their skin color. In this searing pamphlet on the racial realities of contemporary America, David Horowitz and John Perazzo show that in fact the most insidious bias in our culture today is black skin privilege. Black skin privilege means the press will fail to report an epidemic of race riots targeting whites for beatings, shooting and other violence in major American cities over the last several years. Black skin privilege means that whites -- as in the case of the Duke lacrosse players -- will be presumed guilty of racial crimes when they are clearly innocent and then never accorded an apology by those who have stigmatized them. Black skin privilege has created an optical illusion in the liberal culture that white on black attacks are commonplace events when in fact there are five times as many black attacks on whites as the reverse. (As Horowitz and Perazzo note, in 2010, blacks committed more than 25 times the number of acts of interracial violence than whites did.) Black skin privilege exists in the affirmative action programs of our system of higher education and in our culture, where a black racist like Al Sharpton could be regarded by the national media as a civil rights leader and then hired as a TV anchor by NBC. This pamphlet gives the statistics and hard numbers the mainstream media conceal. It also probes the double standards and double talk that has come to dominate the way America talks when it talks about race.
Soccermatics: Mathematical Adventures in the Beautiful Game
David Sumpter - 2016
How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.
Arithmetic
Paul Lockhart - 2017
But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.
Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations
Raphael Rosen - 2015
From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like:How are the waiting times for buses determined?Why is Romanesco Broccoli so mesmerizing?How do you divide a cake evenly?Should you run or walk to avoid rain showers?Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.
Proofs from the Book, 3e
Martin Aigner - 1998
Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."
All the Mathematics You Missed
Thomas A. Garrity - 2001
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.
The Heart of Mathematics: An Invitation to Effective Thinking
Edward B. Burger - 1999
In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.
The Ponzi Factor: The Simple Truth About Investment Profits
Tan Liu - 2018
First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as self-evident." --Arthur SchopenhauerThe Ponzi Factor is the most comprehensive research ever compiled on the negative-sum nature of capital gains (non-dividend stocks). The book shows why, as a whole, ALL investors will lose money from buying and selling stocks.Most people don’t realize that profits from buying and selling stocks come from other investors who are also buying and selling stocks. When one investor buys low and sells high, another investor is also buying high and needs to sell for even higher. Companies like Google, Telsa, Facebook never pay their investors. Their investors’ profits are dependent on the inflow of money from new investors, which by definition, is how a Ponzi scheme works.This book is not for everyone. If you are a finance junkie who wants to rationalize why companies don’t have to pay their investors and believe a system that shuffles money between investor can magically create more money than people contribute, then this book is not for you. On the other hand, if you understand why we can’t create money by shuffling it with imaginary paper, and that investors invest because they want money, not value, then you will learn something you will never forget: The mechanics of how the stock market works and what really makes a stock price move.A stock without dividends is a Ponzi asset. It’s not how equity instruments were designed to work historically and not how ownership instruments are supposed to work logically. The Ponzi Factor is not a perspective or an opinion. It is a proof that is based on definition, logic, and it is supported by observable facts and history. This is not a story that will disappear after another market crash. It is an idea that will remain relevant for as long as the stock market exists.Lastly, to critics, the naysayer, and the finance junkies who think the imaginary value = cash. The author will award $20,000 to anyone who can show why non-dividend stocks DO NOT meet the definition of a Ponzi scheme. That’s $20,000 in cash, not value. (Details on this book's website. The Ponzi Factor. Proof by Definition.)