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Thinking And Calculating
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Book Synopsis Reckoning with Matter by : Matthew L. Jones
Download or read book Reckoning with Matter written by Matthew L. Jones and published by University of Chicago Press. This book was released on 2016-11-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Blaise Pascal in the 1600s to Charles Babbage in the first half of the nineteenth century, inventors struggled to create the first calculating machines. All failed—but that does not mean we cannot learn from the trail of ideas, correspondence, machines, and arguments they left behind. In Reckoning with Matter, Matthew L. Jones draws on the remarkably extensive and well-preserved records of the quest to explore the concrete processes involved in imagining, elaborating, testing, and building calculating machines. He explores the writings of philosophers, engineers, and craftspeople, showing how they thought about technical novelty, their distinctive areas of expertise, and ways they could coordinate their efforts. In doing so, Jones argues that the conceptions of creativity and making they exhibited are often more incisive—and more honest—than those that dominate our current legal, political, and aesthetic culture.
Book Synopsis Thinking and Calculating by : Francesco Ademollo
Download or read book Thinking and Calculating written by Francesco Ademollo and published by Springer Nature. This book was released on 2022-07-04 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects 22 essays on the history of logic written by outstanding specialists in the field. The book was originally prompted by the 2018-2019 celebrations in honor of Massimo Mugnai, a world-renowned historian of logic, whose contributions on Medieval and Modern logic, and to the understanding of the logical writings of Leibniz in particular, have shaped the field in the last four decades. Given the large number of recent contributions in the history of logic that have some connections or debts with Mugnai’s work, the editors have attempted to produce a volume showing the vastness of the development of logic throughout the centuries. We hope that such a volume may help both the specialist and the student to realize the complexity of the history of logic, the large array of problems that were touched by the discipline, and the manifold relations that logic entertained with other subjects in the course of the centuries. The contributions of the volume, in fact, span from Antiquity to the Modern Age, from semantics to linguistics and proof theory, from the discussion of technical problems to deep metaphysical questions, and in it the history of logic is kept in dialogue with the history of mathematics, economics, and the moral sciences at large.
Book Synopsis Calculating God by : Robert J. Sawyer
Download or read book Calculating God written by Robert J. Sawyer and published by Macmillan. This book was released on 2009-03-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculating God is the new near-future SF thriller from the popular and award-winning Robert J. Sawyer. An alien shuttle craft lands outside the Royal Ontario Museum in Toronto. A six-legged, two-armed alien emerges, who says, in perfect English, "Take me to a paleontologist." It seems that Earth, and the alien's home planet, and the home planet of another alien species traveling on the alien mother ship, all experienced the same five cataclysmic events at about the same time (one example of these "cataclysmic events" would be the meteor that wiped out the dinosaurs). Both alien races believe this proves the existence of God: i.e. he's obviously been playing with the evolution of life on each of these planets. From this provocative launch point, Sawyer tells a fast-paced, and morally and intellectually challenging, SF story that just grows larger and larger in scope. The evidence of God's universal existence is not universally well received on Earth, nor even immediately believed. And it reveals nothing of God's nature. In fact. it poses more questions than it answers. When a supernova explodes out in the galaxy but close enough to wipe out life on all three home-worlds, the big question is, Will God intervene or is this the sixth cataclysm:? Calculating God is SF on the grand scale. Calculating God is a 2001 Hugo Award Nominee for Best Novel. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Book Synopsis Think Like A Maths Genius by : Michael Shermer
Download or read book Think Like A Maths Genius written by Michael Shermer and published by Souvenir Press. This book was released on 2011-09-01 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you know that it's easier to add and subtract from left to right, rather than the other way round? And that you can be taught to square a three-digit number in seconds? In Think Like A Maths Genius, two mathematicians offer tips and tricks for doing tricky maths the easy way. With their help, you can learn how to perform lightning calculations in your head, discover methods of incredible memorisation and other feats of mental agility. Learn maths secrets for the real world, from adding up your shopping and calculating a restaurant tip, to figuring out gambling odds (or how much you've won) and how to solve sudoku faster.
Download or read book Not Even Wrong written by Peter Woit and published by Basic Books. This book was released on 2007-03-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.
Download or read book Calculating the Human written by L. Doria and published by Springer. This book was released on 2013-07-12 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why does contemporary calculation develop as calculation of the quality of everything? How should we consider calculation of quality and the relationship between calculation and enhancement of life? These and related questions are addressed through phenomenological investigation and a critical analysis of the social science debate.
Book Synopsis Routines for Reasoning by : Grace Kelemanik
Download or read book Routines for Reasoning written by Grace Kelemanik and published by Heinemann Educational Books. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Routines can keep your classroom running smoothly. Now imagine having a set of routines focused not on classroom management, but on helping students develop their mathematical thinking skills. Routines for Reasoning provides expert guidance for weaving the Standards for Mathematical Practice into your teaching by harnessing the power of classroom-tested instructional routines. Grace Kelemanik, Amy Lucenta, and Susan Janssen Creighton have applied their extensive experience teaching mathematics and supporting teachers to crafting routines that are practical teaching and learning tools. -- Provided by publisher.
Book Synopsis Secrets of Mental Math by : Arthur Benjamin
Download or read book Secrets of Mental Math written by Arthur Benjamin and published by Crown. This book was released on 2008-06-03 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.
Book Synopsis Reckoning with Matter by : Matthew Laurence Jones
Download or read book Reckoning with Matter written by Matthew Laurence Jones and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Unity of Wittgenstein's Philosophy by : Jose Medina
Download or read book The Unity of Wittgenstein's Philosophy written by Jose Medina and published by SUNY Press. This book was released on 2002-07-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the stable core of Wittgenstein's philosophy as developed from the Tractatus to the Philosophical Investigations.
Download or read book Humble Pi written by Matt Parker and published by Penguin. This book was released on 2021-01-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: #1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable guide to some of humanity's all-time greatest miscalculations—that also gives you permission to feel a little better about some of your own mistakes.” —Ryan North, author of How to Invent Everything Our whole world is built on math, from the code running a website to the equations enabling the design of skyscrapers and bridges. Most of the time this math works quietly behind the scenes . . . until it doesn’t. All sorts of seemingly innocuous mathematical mistakes can have significant consequences. Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean. Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.
Book Synopsis Calculated Values by : William Deringer
Download or read book Calculated Values written by William Deringer and published by Harvard University Press. This book was released on 2018-02-19 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern political culture features a deep-seated faith in the power of numbers. But quantitative evidence has not always been revered, as William Deringer shows. After the 1688 Revolution, as Britons learned to fight by the numbers, their enthusiasm for figures arose not from efforts to find objective truths but from the turmoil of politics itself.
Book Synopsis How Mathematicians Think by : William Byers
Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
Book Synopsis How to Think Like a Mathematician by : Kevin Houston
Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
Book Synopsis All Positive Action Starts with Criticism by : Sacha la Bastide-van Gemert
Download or read book All Positive Action Starts with Criticism written by Sacha la Bastide-van Gemert and published by Springer. This book was released on 2015-01-16 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study provides a historical analysis of Freudenthal’s didactic ideas and his didactic career. It is partly biographical, but also contributes to the historiography of mathematics education and addresses closely related questions such as: what is mathematics and where does it start? Which role does mathematics play in society and what influence does it have on the prevailing views concerning its accompanying didactics?. Hans Freudenthal (1905–1990), professor in mathematics, scientist, literator, but above all mathematics-educator, was inextricably linked to the changes which took place in mathematics education and didactics during the second half of the last century. His diversity as a scientist and his inexhaustible efforts to establish the didactics of mathematics as a seriously pursued science, made Freudenthal's influence in this area considerable. He foresaw an essential, practical role for mathematics in everyone’s life, encouraging students to discover and create mathematics themselves, instead of imposing a ready-made mathematical system. The theory of mathematics education thus developed in the Netherlands would gain world fame in the following decades. Today, in the light of the discussions about mathematics education, in which the call for `genuine’ mathematics instead of the so-called 'kindergarten'-mathematics can be heard, Freudenthal's approach seems to be passé. However, the outcome of this study (which is mainly based on documents from Freudenthal’s vast personal archive) shows a more refined picture. The direct identification of 'kindergarten'-mathematics with Freudenthal’s view on mathematics education is not justified. 'Realistic mathematics' as advocated by Freudenthal includes more than just a practical introductory and should, among other things, always aim at teaching 'genuine' mathematics in the end.
Book Synopsis Calculated Risks by : Gerd Gigerenzer
Download or read book Calculated Risks written by Gerd Gigerenzer and published by Simon and Schuster. This book was released on 2015-11-10 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the beginning of the twentieth century, H. G. Wells predicted that statistical thinking would be as necessary for citizenship in a technological world as the ability to read and write. But in the twenty-first century, we are often overwhelmed by a baffling array of percentages and probabilities as we try to navigate in a world dominated by statistics. Cognitive scientist Gerd Gigerenzer says that because we haven't learned statistical thinking, we don't understand risk and uncertainty. In order to assess risk -- everything from the risk of an automobile accident to the certainty or uncertainty of some common medical screening tests -- we need a basic understanding of statistics. Astonishingly, doctors and lawyers don't understand risk any better than anyone else. Gigerenzer reports a study in which doctors were told the results of breast cancer screenings and then were asked to explain the risks of contracting breast cancer to a woman who received a positive result from a screening. The actual risk was small because the test gives many false positives. But nearly every physician in the study overstated the risk. Yet many people will have to make important health decisions based on such information and the interpretation of that information by their doctors. Gigerenzer explains that a major obstacle to our understanding of numbers is that we live with an illusion of certainty. Many of us believe that HIV tests, DNA fingerprinting, and the growing number of genetic tests are absolutely certain. But even DNA evidence can produce spurious matches. We cling to our illusion of certainty because the medical industry, insurance companies, investment advisers, and election campaigns have become purveyors of certainty, marketing it like a commodity. To avoid confusion, says Gigerenzer, we should rely on more understandable representations of risk, such as absolute risks. For example, it is said that a mammography screening reduces the risk of breast cancer by 25 percent. But in absolute risks, that means that out of every 1,000 women who do not participate in screening, 4 will die; while out of 1,000 women who do, 3 will die. A 25 percent risk reduction sounds much more significant than a benefit that 1 out of 1,000 women will reap. This eye-opening book explains how we can overcome our ignorance of numbers and better understand the risks we may be taking with our money, our health, and our lives.
Book Synopsis Head First Statistics by : Dawn Griffiths
Download or read book Head First Statistics written by Dawn Griffiths and published by "O'Reilly Media, Inc.". This book was released on 2008-08-26 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to statistics that teaches the fundamentals with real-life scenarios, and covers histograms, quartiles, probability, Bayes' theorem, predictions, approximations, random samples, and related topics.
