HOW TO THINK LIKE A MATHEMATICIAN

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How To Think Like A Mathematician

Author : Kevin Houston
ISBN : 1139477056
Genre : Mathematics
File Size : 81.45 MB
Format : PDF
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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.
Category: Mathematics

Think Like A Mathematician

Author : Anne Rooney
ISBN : 1788887891
Genre :
File Size : 51.52 MB
Format : PDF, Mobi
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A fun introduction to the main ideas of mathematics. In Q&A format, Think Like a Mathematician explains the philosophical arguments around questions such as: Was mathematics invented or discovered? Can you trust the numbers (statistics)? Why do we have negative numbers? How much math does a pineapple know? Because mathematics is all around us, governs how information is presented to us and how we understand it, underpins all science, and has been responsible for humanity's incredible progress through the ages, this book provides an accessible approach to understanding all of these things about mathematics--and more--in the context of everyday life.
Category:

Alan Turing Enigma

Author : Andrew Hodges
ISBN : 3211826270
Genre : Biography & Autobiography
File Size : 33.62 MB
Format : PDF, Docs
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Alan Turing, Enigma ist die Biographie des legendAren britischen Mathematikers, Logikers, Kryptoanalytikers und Computerkonstrukteurs Alan Mathison Turing (1912-1954). Turing war einer der bedeutendsten Mathematiker dieses Jahrhunderts und eine hAchst exzentrische PersAnlichkeit. Er gilt seit seiner 1937 erschienenen Arbeit "On Computable Numbers," in der er das Prinzip des abstrakten Universalrechners entwickelte, als der Erfinder des Computers. Er legte auch die Grundlagen fA1/4r das heute "KA1/4nstliche Intelligenz" genannte Forschungsgebiet. Turings zentrale Frage "Kann eine Maschine denken?" war das Motiv seiner Arbeit und wird die SchlA1/4sselfrage des Umgangs mit dem Computer werden. Die bis 1975 geheimgehaltene TAtigkeit Turings fA1/4r den britischen Geheimdienst, die zur EntschlA1/4sselung des deutschen Funkverkehrs fA1/4hrte, trug entscheidend zum Verlauf und Ausgang des Zweiten Weltkriegs bei.
Category: Biography & Autobiography

How To Study As A Mathematics Major

Author : Lara Alcock
ISBN : 9780191637353
Genre : Mathematics
File Size : 85.3 MB
Format : PDF, ePub, Docs
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Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious — research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life. As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.
Category: Mathematics

Engaging The Whole Child Reflections On Best Practices In Learning Teaching And Leadership

Author : Marge Scherer
ISBN : 9781416612186
Genre : Education
File Size : 31.43 MB
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This e-book collection of articles from Educational Leadership provides a compelling look at what it means to truly open students to learning--heart, mind, body, and soul. The articles describe how to impart relevance, respect, and reward while also teaching traditional and not-so-traditional curriculum subjects. They span all grade levels and subjects and offer both inspiration and practical advice.
Category: Education

Disciplinary Literacy In Action

Author : ReLeah Cossett Lent
ISBN : 9781544317489
Genre : Education
File Size : 20.49 MB
Format : PDF, ePub
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You wouldn’t tell a heart surgeon to also do pediatrics—so why would we tell content area educators they must “do” literacy? Math, history, English and science teachers are passionate about their specialties, and that’s why authors Releah Lent and Marsha Voight designed a framework that keeps teachers’ subjects at the center of daily classroom life while also helping them pool strengths with colleagues. Based on years of successful implementation, this powerful PL cycle “drops in” seamlessly to any school setting, so teachers schoolwide take on innovative practices of reading, writing, thinking, and doing within their areas of expertise.
Category: Education

Math With Bad Drawings

Author : Ben Orlin
ISBN : 9780316509022
Genre : Mathematics
File Size : 29.40 MB
Format : PDF, Kindle
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A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
Category: Mathematics

Creative Maths Activities For Able Students

Author : Anne Price
ISBN : 9781446241998
Genre : Education
File Size : 83.82 MB
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'All the ideas look easy to use and quick to prepare... This is a very interesting and thought provoking book - it manages to ask questions about how we teach able children but also provides some ideas and some materials to help' - The Association of Teachers of Mathematics Finding stimulating and challenging maths activities for able pupils in a mainstream classroom can be demanding for the busy teacher, especially if maths is not your specialism. Based on her experience as an Advanced Skills Teacher and LEA Consultant, Anne Price explains the issues and theories surrounding the education of able pupils and links these to practical, creative examples to be used in the classroom. Useful resources include: - Photocopiable materials, - Advice on different teaching styles, - Activities and tasks for individuals, groups or the whole class GATCOs, Numeracy Consultants, Learning Support Teachers and Student and class teachers looking for new and creative ways of teaching maths activities to able students will find this book invaluable.
Category: Education

What S Your Future Worth

Author : Peter Neuwirth FSA
ISBN : 9781626563452
Genre : Business & Economics
File Size : 20.77 MB
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We weigh every significant decision based on how it will affect our future. But when it comes to figuring that out, we mostly make the process up as we go along. While financial professional Peter Neuwirth can't help you actually predict the future, he can offer a simple, systematic way to make much better guesses about it—and so make better decisions. Neuwirth offers an accessible, step-by-step guide to using the powerful concept of Present Value—which allows you to determine the value today of something that might happen in the future—to evaluate all of the outcomes that might arise from choosing one path as opposed to another. Using examples that anyone can relate to, Neuwirth walks you through the process. Your old refrigerator doesn't work as well as it used to—should you buy a new one right away or muddle through for a while? You're offered a great discount on a service you don't need at the moment but eventually will—buy the service now or wait? With just a little math and some common sense, you can compare future costs and benefits with present costs and benefits and make “apples to apples” comparisons. This book will be indispensable for anyone who has ever had to figure out whether to stick with an awful job or follow his or her bliss, fix that old car or buy a new one, increase 401(k) contributions or keep the same take-home pay, and a thousand other decisions.
Category: Business & Economics

Heinemann Mathematics For Cxc

Author : A. W. Binks
ISBN : 0435983172
Genre : Mathematics
File Size : 27.90 MB
Format : PDF, ePub, Mobi
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Written specifically for Caribbean secondary schools, Heinemann Mathematics for CXC provides a firm foundation in mathematics at this level and raises the competence and confidence of students as their CXC examination approaches. The friendly approach of
Category: Mathematics