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.

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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.

I love maps. I love math. And gosh, do I love this book, which so beautifully and clearly sounds the depths of both. --Ben Orlin, author of Math with Bad Drawings

Explore the surprising connections between math and maps--and the myriad ways they've shaped our world and us.

Why are coastlines and borders so difficult to measure? How does a UPS driver deliver hundreds of packages in a single day? And where do elusive serial killers hide? The answers lie in the crucial connection between maps and math.

In Mapmatics, mathematician Paulina Rowińska leads us on a riveting journey around the globe to discover how maps and math are deeply entwined, and always have been. From a sixteenth-century map, an indispensable navigation tool that exaggerates the size of northern countries, to public transport maps that both guide and confound passengers, to congressional maps that can empower or silence whole communities, she reveals how maps and math have shaped not only our sense of space but our worldview. In her hands, we learn how to read maps like a mathematician--to extract richer information and, just as importantly, to question our conclusions by asking what we don't see.

Written with authority and compassion, wit and unforgettable storytelling, this is math exposition at its best. By unpacking the math behind the maps we depend on, Mapmatics illuminates how our world works and, ultimately, how we can better look after it.

Empowering and illuminating, The Ten Equations That Rule the World shows how math really can change your life.

Is there a secret formula for getting rich? For going viral? For deciding how long to stick with your current job, Netflix series, or even relationship?

This book is all about the equations that make our world go round. Ten of them, in fact. They are integral to everything from investment banking to betting companies and social media giants. And they can help you to increase your chance of success, guard against financial loss, live more healthfully, and see through scaremongering. They are known by only the privileged few--until now.

With wit and clarity, mathematician David Sumpter shows that it isn't the technical details that make these formulas so successful. It is the way they allow mathematicians to view problems from a different angle--a way of seeing the world that anyone can learn.

The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

How we can repair our democracy by rebuilding the mechanisms that power it

What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone.

In this timely guide, Ismar Volic empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today's divided public square. Examining our representative democracy using powerful clarifying concepts, Volic shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volic also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government.

Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.

The companion book to COURSERA(R)'s wildly popular massive open online course Learning How to Learn

Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options--both to rise in the military and to explore other careers--she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively--secrets that even dedicated and successful students wish they'd known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there's only one way to do a problem, when in actuality, there are often a number of different solutions--you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don't seem to come naturally to us at first, and learning them does not have to be as painful as we might think.

Acclaimed mathematician David Sumpter shares practical and insightful solutions for navigating the chaos and complexity of our lives

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health?

As acclaimed mathematician David Sumpter shows, thinking about thinking is something we rarely do, yet it is something science questions all the time. He has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result. Here he reveals the four easily applied approaches to our problems: statistical, interactive, chaotic, and complex. Combining engaging personal experience with practical advice and inspiring tales of groundbreaking scientific pioneers (with a tiny bit of number crunching along the way), Sumpter shows how these tried and tested methods can help us with every conundrum, from how to bicker less with our partners to pitching to a tough crowd--and in doing so, change our lives.

Imagine not only to get the - sorry, not just the, but ALL - hydrocarbons out of the horrible mélange, but also result in completely clean sand and water, which resides as residual in the tar sands.

Imagine, that you will observe no significant change in temperature with regard to the essential reaction phase and that you will only require a little bit of heat for a final separation stage.

What sounds like a miracle is in fact just one of the amazing innovations we are going to consider in this book. Thereby, so it should explicitly be noted, is the set of various Polar Selective Agents so numerous and flexible that the same technology can principally be applied to a great variety of completely different separation processes. In fact, it looks like that we are able to actually clean and rejuvenate the earth with this technology.

But what might be even more amazing is the fact that the mathematical apparatus to describe the scene requires a Theory of Everything or Quantum Gravity Theory and it may come as a surprise that such a theory already exists. It had been derived by the great German mathematician David Hilbert over one hundred years ago. It produces Einstein's field equations, but also something else. This other stuff is Quantum Theory and both theories always resided in Hilbert's mathematical approach, but apparently nobody saw them there or even bothered to look properly.

Having such a theory provides us with the ability to go far beyond the original attempt to find a proper mathematical description for our most wonderous separation experiment, but actually allows us to attack questions like the modeling of the human mind, the working of socio-economic space-times and the fundamental aspects of creation.

RASA Energy Inc. is an environmental remediation company deploying the world's first ambient temperature and pressure hydrocarbon and materials processing technology. Reducing the carbon footprint for oil recovery and refining by as much as 85%, our Polar Selective Agent process addresses the myriad of challenges arising from the global effort to transform the energy sector. From cleaning up oil spills to plastics recycling to green refining, our technology exceeds the environmental targets for energy transformation marketplace. For 25 years, its founders have been at the forefront of cleaning the carbon industry starting with our work in desulphurization of oil at ambient temperature and pressure in Russia in the late 90s. Our current activity in removing hydrocarbons from Utah tar sands has proven to be the first environmentally sustainable, cost-effective solution in the history of tar sands and oil shale remediation.

While our commercial application of Polar Selectivity is immediately evident, what is of greater consequence is the mathematical principles underpinning this technology. Derived, in part, from German mathematician David Hilbert's work over a century ago, and critiquing the Einstein field equations, we propose extensions beyond Quantum Gravity Theory and A Theory of Everything by demonstrated that untested and unobserved assumptions have delimited the last 100 years of innovation in physics, chemistry, and mathematics. As presented in this manuscript, we consider fundamental aspects of creation or manifestation of phase observations of matter while considering the resulting implications on modeling the human mind, socio-economic space-time interactions and other foundational topics.

Our universe has multiple origin stories, from religious creation myths to the Big Bang of scientists. But if we leave those behind and start from nothing--no matter, no cosmos, not even empty space--could we create a universe using only math? Irreverent, richly illustrated, and boundlessly creative, The Big Bang of Numbers invites us to try.

In this new mathematical origin story, mathematician and novelist Manil Suri creates a natural progression of ideas needed to design our world, starting with numbers and continuing through geometry, algebra, and beyond. He reveals the secret lives of real and imaginary numbers, teaches them to play abstract games with real-world applications, discovers unexpected patterns that connect humble lifeforms to enormous galaxies, and explores mathematical underpinnings for randomness and beauty. With evocative examples ranging from multidimensional crochet to the Mona Lisa's asymmetrical smile, as well as ingenious storytelling that helps illuminate complex concepts like infinity and relativity, The Big Bang of Numbers charts a playful, inventive course to existence. Mathematics, Suri shows, might best be understood not as something we invent to explain Nature, but as the source of all creation, whose directives Nature tries to obey as best she can.

Offering both striking new perspectives for math aficionados and an accessible introduction for anyone daunted by calculation, The Big Bang of Numbers proves that we can all fall in love with math.

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.

From geometry in motion to the possibilities of pi, this stunning volume reveals how art has been inspired by the beauty and poetry of mathematical principles.

The worlds of visual art and mathematics come together in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting more than 80 pieces, including a crocheted, colorful representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. For each work, we get the artist's story followed by accessible and thought-provoking explanations of the mathematical concept and equations behind the art.

From 3D-printed objects that give real form to abstract mathematical theories, to mystic fractals, to Andy Warhol as a solution to the Traveling Salesman Problem, these artworks embody some of strangest, most beautiful relationships among numbers and across dimensions.

An instant New York Times Bestseller!

Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning. --The New York Times

From the New York Times-bestselling author of How Not to Be Wrong--himself a world-class geometer--a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything.

How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real.

If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel.

Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word geometrycomes from the Greek for measuring the world. If anything, that's an undersell. Geometry doesn't just measure the world--it explains it. Shape shows us how.

This textbook is designed for veterinary technician students learning how to calculate drug dosages, drug volumes, IV% solutions, and drip rates for their patients. The textbook includes a general review of basic mathematic principles as well as specialized types of math problems related to veterinary practices. The book is delivered in a discussion format which involves the student in the learning process.

PRACTICAL MATH APPLICATIONS, 3E offers users math skills needed for business and personal applications. The text begins with a comprehensive review of the basic math functions (addition, subtraction, multiplication, and division) and progresses to fractions and decimals. Once the students have mastered the basics, they are introduced to practical applications that develop critical thinking skills. These applications include bank records, purchasing and pricing merchandise, payroll, taxes, insurance, consumer credit, and interest (simple and compound). This easy-to-follow, step-by-step approach allows students to work at their own pace. Numerous self-help tips, practice activities, and self-assessments are provided so that each student feels competent in their newly acquired skill before moving on to the next.

Brilliant and entertaining mathematician Kit Yates illuminates seven mathematical concepts that shape our daily lives.From birthdays to birth rates to how we perceive the passing of time, mathematical patterns shape our lives. But for those of us who left math behind in high school, the numbers and figures we encounter as we go about our days can leave us scratching our heads, feeling as if we're fumbling through a mathematical minefield. In this eye-opening and welcome addition to the math-for-people-who-hate-math (Kirkus Reviews), Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a dizzying, dazzling (Nature) tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, Ponzi schemes, viral marketing, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it's choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

A 2-book bundle that adds up to success in basic math and pre-algebra

People of all ages -- from students in a math class to adults using math in the real world -- often dislike ever having to use arithmetic, fractions, decimals, percentages, geometry, and so on. Math is all around us, but it doesn't have to be hard. Basic Math & Pre-Algebra For Dummies and Basic Math & Pre-Algebra Workbook For Dummies with Online Practice is a two-book bundle designed to help you improve your math skills whether you're a student tackling math homework or preparing for a test or an adult who wants to improve their own skills or help someone else learn to love numbers.

Basic Math & Pre-Algebra For Dummies provides mathematical and algebraic concepts into easy-to-understand sections. You'll learn to:

• Master addition, subtraction, multiplication, and division
• Wrangle the three E's of math: equations, expressions, and evaluation
• Never fear a word problem again (even ones with fractions, decimals, and percents)
• Know your prime numbers from composite numbers
• Get your mind around factors and multiples
• Learn the parts of a fraction and how to add, subtract, multiply, and divide fractions
• Understand scientific notation and how to use it
• Discover the X in algebra
• And so much more

Basic Math & Pre-Algebra Workbook For Dummies covers negative numbers, fractions, decimals, geometry, graphing, basic algebra (and more), with plenty of problems so you can practice until your math is perfect. The workbook is divided into four sections, and you can work through each one or skip to any area you like:

• Part 1 covers basic math and pre-algebra, including addition, subtraction, multiplication, and division; operations; negative numbers; and expressions.
• Part 2 keeps things interesting with fractions, decimals, and percents.
• Part 3 dives into headier topics, like scientific notation; weights and measures; geometry; and Xy-graphs.
• Part 4 is all about algebraic expressions.

Each topic is briefly introduced, and you're shown how to solve the problems in that section. You can review sample questions with answers (showing how to solve the problem) and then complete practice problems on your own. Don't worry -- the answers are provided (with step-by-step details), so you can grade your work. Additionally, online practice comes free with this workbook, with extra practice questions corresponding with each chapter. The workbook itself has instruction on how to register to access and use the online practice.

Together these two books pack a powerful one-two punch. Grab this bundle to help you wrangle any math problem you encounter.

Embark on a whimsical odyssey through the realms of ethics in AI bots, logic, game theory, paradoxes, biases, fake data detection, graph theory, and so much more! Within these pages you'll find a collection of fictional short stories that weave together the intriguing, the counterintuitive and the downright quirky with bold characters from every walk of life.Check out the book's website here!

The easy way to brush up on the math skills you need in real life

Not everyone retains the math they learned in school. Like any skill, your ability to speak math can deteriorate if left unused. From adding and subtracting money in a bank account to figuring out the number of shingles to put on a roof, math in all of its forms factors into daily life. Math For Real Life For Dummies provides you with the simple formulas and theorems that you're likely to encounter in the workplace, the kitchen, and even when playing games.

You can turn to Math For Real Life For Dummies to brush up on your math skills or to handle everyday encounters, like calculating restaurant tips, understanding interest rates, and figuring out percentages and odds. Packed with real-world examples that make sense, Math For Real Life For Dummies takes the stress out of your daily calculation encounters.

• Provides tips for understanding and using basic mathematical concepts
• Shows you how math helps the mind to reason and organize complicated situations or problems into clear, simple, and logical steps
• Covers all of the math skills you're likely to need in everyday situations

If you're looking for a practical, plain-English guide to mastering everyday math skills, Math For Real Life For Dummies has you covered.

Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, cryptography, and quantum computing are usually considered too advanced to show to the typical student. The aim of this book is to bridge both gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non computer scientists and to computer scientists who finally want to understand what their formalisms are actually telling.

This book gives a lucid and playful explanation of the field, starting with P and NP-completeness. The authors explain why the P vs. NP problem is so fundamental, and why it is so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing.

At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduates and undergraduates, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.

To request a copy of the Solutions Manual, visit: http: //global.oup.com/uk/academic/physics/admin/solutions