Mathematics: All That Matters

2015-02-26
Mathematics: All That Matters

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  • Author: Mike Askew
  • Publisher: John Murray
  • ISBN: 1473601754
  • Category : Mathematics
  • Languages : en
  • Pages : 160

Mathematics often gets a bad press. Describing someone as 'calculating' or 'rational' is hardly as flattering as being labelled 'artistic' or 'creative' and mathematicians in movies or novels are often portrayed as social misfits who rarely get the guy or girl. No wonder some folks say 'oh I don't care for mathematics, I was never any good at it' with a wistful sense of pride. Yet professional mathematicians talk of the subject differently. They look for elegant solutions to problems, revel in playing around with mathematical ideas and talk of the creative nature of mathematics. As the Russian mathematician Sophia Kovalevskaya said "It is impossible to be a mathematician without being a poet in soul." So why is there such a gap between the views of everyday folks and professional mathematicians? Part of the problem lies in how most of us were taught mathematics in school. The mathematics served up there is presented as a series of de-contextualised, abstract ideas, wrested from the human struggles and interactions that gave birth to the ideas. Through looking at some of the history of mathematics, psychological studies into how we come to know mathematics and key ideas in mathematics itself, the intent of this book is, if not to make the reader fall in love with mathematics, then at least to come to understand its nature a little better, and perhaps care a little more for it. In short, this book explores the human side of maths.

All that Matters

2014
All that Matters

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  • Author: Mike Askew
  • Publisher:
  • ISBN: 9781785390364
  • Category : Electronic books
  • Languages : en
  • Pages :

This book explores the human side of maths.

All the Mathematics You Missed

2004
All the Mathematics You Missed

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  • Author: Thomas A. Garrity
  • Publisher: 清华大学出版社有限公司
  • ISBN: 9787302090854
  • Category : Mathematics
  • Languages : en
  • Pages : 380

1089 and All that

2002
1089 and All that

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  • Author: D. J. Acheson
  • Publisher: Oxford University Press, USA
  • ISBN: 9780198516231
  • Category : Mathematics
  • Languages : en
  • Pages : 200

This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.

Poker Math that Matters

2010-09-01
Poker Math that Matters

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  • Author: Owen Gaines
  • Publisher:
  • ISBN: 9780615397450
  • Category :
  • Languages : en
  • Pages : 211

Learning the math behind good poker has never been simpler. Owen's methods and shortcuts will have you applying the math at the poker table overnight.

We Reason & We Prove for ALL Mathematics

2018-08-08
We Reason & We Prove for ALL Mathematics

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  • Author: Fran Arbaugh
  • Publisher: Corwin Press
  • ISBN: 150637817X
  • Category : Education
  • Languages : en
  • Pages : 342

Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!

How Not to Be Wrong

2015-05-26
How Not to Be Wrong

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  • Author: Jordan Ellenberg
  • Publisher: Penguin
  • ISBN: 0143127535
  • Category : Mathematics
  • Languages : en
  • Pages : 482

“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

Philosophy: All That Matters

2012-07-27
Philosophy: All That Matters

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  • Author: Julian Baggini
  • Publisher: John Murray
  • ISBN: 1444155857
  • Category : Philosophy
  • Languages : en
  • Pages : 91

In this book: 'Philosophy is like fish: best presented without too much adornment; hard to get just right and easy to ruin.' What's the point of it all? In Philosophy: All That Matters, bestselling philosopher Julian Baggini shows how abstract ideas feed into the most important existential questions of all. He tells the story of Philosophy, bringing together and interlinking all its different areas, to create what is perhaps the first non-historical narrative of the subject -- one that takes you right to its heart. It places philosophy firmly at the centre of what makes us human. From ethics and metaphysics, to the philosophy of science and religion, Baggini explains what makes us different to other species, why philosophy lies at the heart of that difference, and why that matters. This accessible and readable book will appeal to both students and general readers, giving a fascinating taste of philosophy -- and what matters most within it. The All That Matters series: All That Matters books: All books in the All That Matters series are written by world experts in their subject field. These experts work to distil a topic and get right to its heart, making the book accessible for both students and general readers. Each compelling book contains new and interesting perspectives and tells stories that matter. The Author: 'one of our most lucid and accessible popularisers of philosophy' Julian Baggini is a philosopher, author and journalist, who was recently named on the Observer's list of Britain's top public intellectuals. His doctorate was from University College London on the philosophy of personal identity, and his books have been published globally and translated into twelve languages. Baggini is widely regarded as one of our most lucid and accessible popularisers of philosophy. His work appears regularly in the Guardian, Prospect and the New Humanist, and he founder The Philosophers Magazine. Julian has also appeared as a character in an Alexander McCall Smith novel, and been the subject of a question in University Challenge. Keep up with Julian Baggini on his website or follow his Twitter account @microphilosophy . Other books in the All That Matters series: All That Matters - Interesting introductions to important issues Books on the following subjects are available from the All That Matters series: Muhammad, Water, Political Philosophy, Sustainability, God, Intelligence, Love, Russian Revolution, War, and Creativity. Philosophy - understand philosophy - story of philosophy - existential questions - abstract - the human mind - moral philosophy - ethics - metaphysics - science - religion - accessible - pocket sized - All That Matters - world expert - students - general interest - an introduction to philosophy - ideas - e-book - what is philosophy - knowledge - Plato - Hegel - Descartes

Illustrating Mathematics

2020-10-16
Illustrating Mathematics

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  • Author: Diana Davis
  • Publisher: American Mathematical Soc.
  • ISBN: 1470461226
  • Category : Education
  • Languages : en
  • Pages : 171

This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it.

Maths 1001

2017-07-06
Maths 1001

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  • Author: Dr Richard Elwes
  • Publisher: Hachette UK
  • ISBN: 1786486954
  • Category : Mathematics
  • Languages : en
  • Pages : 577

The ultimate smart reference to the world of mathematics - from quadratic equations and Pythagoras' Theorem to chaos theory and quantum computing. Maths 1001 provides clear and concise explanations of the most fascinating and fundamental mathematical concepts. Distilled into 1001 bite-sized mini-essays arranged thematically, this unique reference book moves steadily from the basics through to the most advanced of ideas, making it the ideal guide for novices and mathematics enthusiasts. Whether used as a handy reference, an informal self-study course or simply as a gratifying dip-in, this book offers - in one volume - a world of mathematical knowledge for the general reader. Maths 1001 is an incredibly comprehensive guide, spanning all of the key mathematical fields including Numbers, Geometry, Algebra, Analysis, Discrete Mathematics, Logic and the Philosophy of Maths, Applied Mathematics, Statistics and Probability and Puzzles and Mathematical Games. From zero and infinity to relativity and Godel's proof that maths is incomplete, Dr Richard Elwes explains the key concepts of mathematics in the simplest language with a minimum of jargon. Along the way he reveals mathematical secrets such as how to count to 1023 using just 10 fingers and how to make an unbreakable code, as well as answering such questions as: Are imaginary numbers real? How can something be both true and false? Why is it impossible to draw an accurate map of the world? And how do you get your head round the mind-bending Monty Hall problem? Extensive, enlightening and entertaining, this really is the only maths book anyone would ever need to buy.