Math Without Numbers

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Math Without Numbers

Author : Milo Beckman
Publisher : Penguin
ISBN 13 : 1524745561
Total Pages : 225 pages
Book Rating : 4.5/5 (247 download)

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Book Synopsis Math Without Numbers by : Milo Beckman

Download or read book Math Without Numbers written by Milo Beckman and published by Penguin. This book was released on 2022-01-11 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.

Math Without Numbers

Author : Milo Beckman
Publisher : Penguin UK
ISBN 13 : 0241507588
Total Pages : 224 pages
Book Rating : 4.2/5 (415 download)

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Book Synopsis Math Without Numbers by : Milo Beckman

Download or read book Math Without Numbers written by Milo Beckman and published by Penguin UK. This book was released on 2021-01-07 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful.

Science without Numbers

Author : Hartry Field
Publisher : Oxford University Press
ISBN 13 : 0191083771
Total Pages : 176 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Science without Numbers by : Hartry Field

Download or read book Science without Numbers written by Hartry Field and published by Oxford University Press. This book was released on 2016-10-13 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Without Numbers caused a stir in philosophy on its original publication in 1980, with its bold nominalist approach to the ontology of mathematics and science. Hartry Field argues that we can explain the utility of mathematics without assuming it true. Part of the argument is that good mathematics has a special feature ("conservativeness") that allows it to be applied to "nominalistic" claims (roughly, those neutral to the existence of mathematical entities) in a way that generates nominalistic consequences more easily without generating any new ones. Field goes on to argue that we can axiomatize physical theories using nominalistic claims only, and that in fact this has advantages over the usual axiomatizations that are independent of nominalism. There has been much debate about the book since it first appeared. It is now reissued in a revised contains a substantial new preface giving the author's current views on the original book and the issues that were raised in the subsequent discussion of it.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin
ISBN 13 : 0143127535
Total Pages : 482 pages
Book Rating : 4.1/5 (431 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.

A Mind for Numbers

Author : Barbara A. Oakley
Publisher : TarcherPerigee
ISBN 13 : 039916524X
Total Pages : 338 pages
Book Rating : 4.3/5 (991 download)

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Book Synopsis A Mind for Numbers by : Barbara A. Oakley

Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Do Dice Play God?

Author : Ian Stewart
Publisher : Profile Books
ISBN 13 : 178283401X
Total Pages : 292 pages
Book Rating : 4.7/5 (828 download)

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Book Synopsis Do Dice Play God? by : Ian Stewart

Download or read book Do Dice Play God? written by Ian Stewart and published by Profile Books. This book was released on 2019-06-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.

Mathematics without Numbers

Author : Geoffrey Hellman
Publisher : Clarendon Press
ISBN 13 : 019152011X
Total Pages : 172 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Mathematics without Numbers by : Geoffrey Hellman

Download or read book Mathematics without Numbers written by Geoffrey Hellman and published by Clarendon Press. This book was released on 1989-10-12 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.

Exploring Numbers

Author : Andrew King
Publisher : Copper Beach Books
ISBN 13 : 9780761307228
Total Pages : 36 pages
Book Rating : 4.3/5 (72 download)

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Book Synopsis Exploring Numbers by : Andrew King

Download or read book Exploring Numbers written by Andrew King and published by Copper Beach Books. This book was released on 1998 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games and projects introduce the number system, starting with place value and ending with the four operations--addition, subtraction, multiplication, and division.

A Day with No Math

Author : Marilyn Kaye
Publisher : Houghton Mifflin Harcourt P
ISBN 13 : 9780153010378
Total Pages : 0 pages
Book Rating : 4.0/5 (13 download)

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Book Synopsis A Day with No Math by : Marilyn Kaye

Download or read book A Day with No Math written by Marilyn Kaye and published by Houghton Mifflin Harcourt P. This book was released on 1992 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: What would happen if suddenly there were no numbers? A young boy finds out when he makes a hasty wish and wakes up to a day of frustrating but funny surprises.

Math - No Problem! Whole Number Operations, Grade 5 Ages 10-11

Author : Math - No Problem!
Publisher : Penguin
ISBN 13 : 0744082420
Total Pages : 50 pages
Book Rating : 4.7/5 (44 download)

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Book Synopsis Math - No Problem! Whole Number Operations, Grade 5 Ages 10-11 by : Math - No Problem!

Download or read book Math - No Problem! Whole Number Operations, Grade 5 Ages 10-11 written by Math - No Problem! and published by Penguin. This book was released on 2022-11-01 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: A colorful workbook to help children learn addition and subtraction using the Math Mastery approach! It’s time to master the world of math with this brand new workbook developed by experts to cover all the essential skills for children in the first stages of their math journey. Specifically designed for children aged 10-11, this math exercise book can gently help your child develop knowledge of a wide range of whole number operations, including practising 2-digit multiplication and division, and exploring multiples and factors. Let Math — No Problem! open your eyes to the wonderful world of numbers! So what are you waiting for? Dive straight in to discover: - Topics include whole number operations—addition, subtraction, multiplication and division calculations. - Character-led learning with fun and friendly illustrations. - Comprehensive and thorough coverage of key concepts. - Helpful hints for extra practice. Heard of Math Mastery but don’t know where to begin? Don’t worry, DK has got you covered! Math Mastery is a transformational approach to teaching mathematics that was developed in Singapore and is now used around the world, including in thousands of schools across the US. Children are taught multiple methods to solve math problems, enabling them to gain a thorough and adaptable understanding of topics, making it easier for them to apply their knowledge to different scenarios. Each topic is studied in depth to develop a secure understanding of math concepts. This leads to greater progress in math learning, as topics are well understood and therefore don’t need to be revised in great detail, meaning each new concept builds on prior learning. Based on this widely successful approach, this wonderful workbook is full of top tips led by appealing characters who offer useful guidance to parents and children alike with the goal of making learning math both accessible and interesting. This workbook is part of a new series developed in partnership with the award-winning educational publisher Math — No Problem! The books encourage a deep knowledge of core math concepts without fostering a reliance on memorization or rote learning. A must-have math book for children aged 10-11 at a Grade 5 level, as well as for adults who wish to become more familiar with math taught in schools, to better support their children at home. From subtraction to self-check quizzes, this helpful workbook covers it all while incorporating an inclusive approach which builds self-confidence so that no child feels they ‘can’t do math’. At DK, we believe in the power of discovery. So why not explore the rest of the workbooks in our Math — No Problem! Master Math At Home series? Each workbook can be bought individually or as part of a collection, specifically targeted to early learners aged 10-11 at a Grade 5 level. Know your numbers like a pro with Math — No Problem! Numbers to 10 Million, Grade 5 Ages 10-11 or join the geometry journey with Math — No Problem! Geometry and Shape, Grade 5 Ages 10-11. It’s as easy as 1, 2, 3!

How Math Explains the World

Author : D. Stein
Publisher : Harper Collins
ISBN 13 : 0061828688
Total Pages : 320 pages
Book Rating : 4.0/5 (618 download)

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Book Synopsis How Math Explains the World by : D. Stein

Download or read book How Math Explains the World written by D. Stein and published by Harper Collins. This book was released on 2009-03-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

The Grapes of Math

Author : Alex Bellos
Publisher : Simon and Schuster
ISBN 13 : 1451640129
Total Pages : 352 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis The Grapes of Math by : Alex Bellos

Download or read book The Grapes of Math written by Alex Bellos and published by Simon and Schuster. This book was released on 2014-06-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

The Wonder Book of Geometry

Author : David Acheson
Publisher : Oxford University Press
ISBN 13 : 0192585371
Total Pages : 240 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis The Wonder Book of Geometry by : David Acheson

Download or read book The Wonder Book of Geometry written by David Acheson and published by Oxford University Press. This book was released on 2020-10-22 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. 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, an 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.

The Book of Numbers

Author : John H. Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1461240727
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Book of Numbers by : John H. Conway

Download or read book The Book of Numbers written by John H. Conway and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: "...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

Making Numbers Count

Author : Chip Heath
Publisher : Simon and Schuster
ISBN 13 : 1982165456
Total Pages : 208 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Making Numbers Count by : Chip Heath

Download or read book Making Numbers Count written by Chip Heath and published by Simon and Schuster. This book was released on 2022-01-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, practical, first-of-its-kind guide to communicating and understanding numbers and data—from bestselling business author Chip Heath. How much bigger is a billion than a million? Well, a million seconds is twelve days. A billion seconds is…thirty-two years. Understanding numbers is essential—but humans aren’t built to understand them. Until very recently, most languages had no words for numbers greater than five—anything from six to infinity was known as “lots.” While the numbers in our world have gotten increasingly complex, our brains are stuck in the past. How can we translate millions and billions and milliseconds and nanometers into things we can comprehend and use? Author Chip Heath has excelled at teaching others about making ideas stick and here, in Making Numbers Count, he outlines specific principles that reveal how to translate a number into our brain’s language. This book is filled with examples of extreme number makeovers, vivid before-and-after examples that take a dry number and present it in a way that people click in and say “Wow, now I get it!” You will learn principles such as: -SIMPLE PERSPECTIVE CUES: researchers at Microsoft found that adding one simple comparison sentence doubled how accurately users estimated statistics like population and area of countries. -VIVIDNESS: get perspective on the size of a nucleus by imagining a bee in a cathedral, or a pea in a racetrack, which are easier to envision than “1/100,000th of the size of an atom.” -CONVERT TO A PROCESS: capitalize on our intuitive sense of time (5 gigabytes of music storage turns into “2 months of commutes, without repeating a song”). -EMOTIONAL MEASURING STICKS: frame the number in a way that people already care about (“that medical protocol would save twice as many women as curing breast cancer”). Whether you’re interested in global problems like climate change, running a tech firm or a farm, or just explaining how many Cokes you’d have to drink if you burned calories like a hummingbird, this book will help math-lovers and math-haters alike translate the numbers that animate our world—allowing us to bring more data, more naturally, into decisions in our schools, our workplaces, and our society.

Get to Know Numbers

Author : Anjana Chatterjee
Publisher : Master Math
ISBN 13 : 1682973190
Total Pages : 17 pages
Book Rating : 4.6/5 (829 download)

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Book Synopsis Get to Know Numbers by : Anjana Chatterjee

Download or read book Get to Know Numbers written by Anjana Chatterjee and published by Master Math. This book was released on 2018-01-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn about numbers and place value.