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Visualization, Explanation and Reasoning Styles in Mathematics by Paolo Mancosu
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One, Two, Three...Infinity: Facts and Speculations of Science
George Gamow - 1947
. . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature
Fibonacci Analysis
Constance Brown - 2008
Brown knows exactly what a professional trying to come up to speed on a new trading tool needs and she provides it, covering what Fibonacci analysis is, how it works, where it comes from, pitfalls and dangers, and, of course, how to use it. Basic trading strategies are touched upon in virtually every chapter.Fibonacci analysis is one of the most popular technical analysis tools, yet it is often used incorrectly. Brown quickly clears up common misconceptions and moves on to show, step by step, the correct way to apply the technique in any market.Those with Fibonacci analysis software will learn how to use it with maximum effectiveness; those without will chart the market the old-fashioned way. All will find answers to the trader's most important questions:Where is the market going? At what level should my stop be entered? Based on the size of my trading account, how much should I leverage into a trading position? Can I tell if I am in trouble before my stop is hit? How much should I buy or sell if given a second or third opportunity? Occasional references to other tools--including Elliott Wave, W.D. Gann, and candlestick charts--and an extensive bibliography make this book richer for accomplished technical analysts without confounding the less experienced. Plentiful real-life examples and dozens of carefully annotated charts insure every reader will get maximum value from every minute spent with this book.Gold Medal Winner (tie), Investing Category, Axiom Business Book Awards (2009)Winner: Book Series Cover Design, The Bookbinders Guild of New York/2009 New York Book Show Awards
What Is Mathematics?: An Elementary Approach to Ideas and Methods
Richard Courant - 1941
Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.
The Humongous Book of Calculus Problems
W. Michael Kelley - 2007
Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.--Includes 1,000 problems with comprehensive solutions--Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps--Kelley is a former award-winning calculus teacher
George Orwell Premium Collection: Nineteen Eighty-Four (1984) - Animal Farm - Burmese Days - Keep the Aspidistra Flying - Homage to Catalonia - The Road to Wigan Pier and Over 50 Amazing Novels, Non-Fiction Books and Essays
George Orwell - 2014
The six novels, published in order of importance, are: • Nineteen Eighty-Four (the most important dystopian novel ever written, together with Huxley's Brave New World, and Zamyatin's "We" • Animal Farm (1945) • Burmese Days (1934) • Coming Up for Air (1939) • A Clergyman's Daughter (1935) • Keep the Aspidistra Flying (1936) His three non fiction books are: • Homage to Catalonia (1938), about the Spanish Civil War. • Down and Out in Paris and London (1933) The last book of the collection is called "ESSAYS: From Hitler, Franco & the Atomic Bomb; to Tolstoi, Dickens & Twain". Orwell was an acclaimed analyst of his country's reality during World War II and beyond (including the beginning of the cold war), which he reflects in his many articles and pamphlets collected in this book. He also did very deep literary and personal analysis of men like Mark Twain, Adolf Hitler, or even Tolstoi. The following is the list of essays. 1. THE SPIKE 2. A HANGING (1931) 3. BOOKSHOP MEMORIES (1936) 4. SHOOTING AN ELEPHANT (1936) 5. SPILLING THE SPANISH BEANS (1937) 6. MARRAKECH (1939) 7. BOYS' WEEKLIES AND FRANK RICHARDS'S REPLY (1940) 8. CHARLES READE (1940) 9. THE ART OF DONALD MCGILL (1941) 10. WELLS, HITLER AND THE WORLD STATE (1941) 11. RUDYARD KIPLING (1942) 12. MARK TWAIN–THE LICENSED JESTER (1943) 13. POETRY AND THE MICROPHONE (1943) 14. W B YEATS (1943) 15. ARTHUR KOESTLER (1944) 16. BENEFIT OF CLERGY: SOME NOTES ON SALVADOR DALI (1944) 18. ANTISEMITISM IN BRITAIN (1945) 19. FREEDOM OF THE PARK (1945) 20. FUTURE OF A RUINED GERMANY (1945) 21. GOOD BAD BOOKS 22. NONSENSE POETRY 23. NOTES ON NATIONALISM (1945) 24. REVENGE IS SOUR (1945) 25. THE SPORTING SPIRIT 26. YOU AND THE ATOMIC BOMB (1945) 27. A GOOD WORD FOR THE VICAR OF BRAY 28. A NICE CUP OF TEA (1946) 29. BOOKS VS. CIGARETTES 30. CONFESSIONS OF A BOOK REVIEWER 31. DECLINE OF THE ENGLISH MURDER 32. HOW THE POOR DIE 33. PLEASURE SPOTS 34. POLITICS AND THE ENGLISH LANGUAGE 35. SOME THOUGHTS ON THE COMMON TOAD 36. THE PREVENTION OF LITERATURE 37. WHY I WRITE (1946) 38. LEAR, TOLSTOY AND THE FOOL 39. SUCH, SUCH WERE THE JOYS (1947) 40. WRITERS AND LEVIATHAN (1948)
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.
Time Reborn: From the Crisis in Physics to the Future of the Universe
Lee Smolin - 2013
You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.
Principia Mathematica to '56
Alfred North Whitehead - 1913
Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).
Mathematics for Human Flourishing
Francis Su - 2020
To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, and award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires - such as for play, beauty, freedom, justice, and love - and cultivates virtues essential for human flourishing.These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's and Christopher Jackson, who discovered mathematics as an inmate in a federal prison.Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can - and must - be open to all.PLEASE NOTE: If purchasing this title in the Audible version, the accompanying PDF will be available in your Audible Library along with the audio.RUNNING TIME ⇒ 6hrs. and 52mins.©2020 Francis Edward Su (P)2020 Tantor