How Numbers Work: Discover the Strange and Beautiful World of Mathematics (New Scientist Instant Expert)


New Scientist - 2018
    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

The Art of Mathematics


Jerry P. King - 1992
    Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.

The Data Detective: Ten Easy Rules to Make Sense of Statistics


Tim Harford - 2020
    That’s a mistake, Tim Harford says in The Data Detective. We shouldn’t be suspicious of statistics—we need to understand what they mean and how they can improve our lives: they are, at heart, human behavior seen through the prism of numbers and are often “the only way of grasping much of what is going on around us.” If we can toss aside our fears and learn to approach them clearly—understanding how our own preconceptions lead us astray—statistics can point to ways we can live better and work smarter.As “perhaps the best popular economics writer in the world” (New Statesman), Tim Harford is an expert at taking complicated ideas and untangling them for millions of readers. In The Data Detective, he uses new research in science and psychology to set out ten strategies for using statistics to erase our biases and replace them with new ideas that use virtues like patience, curiosity, and good sense to better understand ourselves and the world. As a result, The Data Detective is a big-idea book about statistics and human behavior that is fresh, unexpected, and insightful.

Whistling Vivaldi: And Other Clues to How Stereotypes Affect Us


Claude M. Steele - 2010
    Steele’s conclusions shed new light on a host of American social phenomena, from the racial and gender gaps in standardized test scores to the belief in the superior athletic prowess of black men. Steele explicates the dilemmas that arise in every American’s life around issues of identity, from the white student whose grades drop steadily in his African American Studies class to the female engineering students deciding whether or not to attend predominantly male professional conferences. Whistling Vivaldi offers insight into how we form our senses of identity and ultimately lays out a plan for mitigating the negative effects of “stereotype threat” and reshaping American identities.

Weird Math: A Teenage Genius and His Teacher Reveal the Strange Connections Between Math and Everyday Life


David Darling - 2018
    As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

The New Urban Crisis: How Our Cities Are Increasing Inequality, Deepening Segregation, and Failing the Middle Class-and What We Can Do About It


Richard Florida - 2017
    And yet all is not well, Richard Florida argues in The New Urban Crisis. Florida, one of the first scholars to anticipate this back-to-the-city movement in his groundbreaking The Rise of the Creative Class, demonstrates how the same forces that power the growth of the world's superstar cities also generate their vexing challenges: gentrification, unaffordability, segregation, and inequality. Meanwhile, many more cities still stagnate, and middle-class neighborhoods everywhere are disappearing. Our winner-take-all cities are just one manifestation of a profound crisis in today's urbanized knowledge economy. A bracingly original work of research and analysis, The New Urban Crisis offers a compelling diagnosis of our economic ills and a bold prescription for more inclusive cities capable of ensuring growth and prosperity for all.

White Women, Race Matters: The Social Construction of Whiteness


Ruth Frankenberg - 1993
    White Women, Race Matters breaks with this tradition by focusing on the particular experiences of white women in a racially hierarchical society. By considering the ways in which their experience not only contributes to but challenges the reproduction of racism, the work offers a rigorous examination of existing methodologies, practices and assumptions concerning racism and gender relations. Supported by extracts from in-depth life history interviews, White Women, Race Matters provides valuable course material.

Invisible No More: Police Violence Against Black Women and Women of Color


Andrea J. Ritchie - 2017
    Amid growing awareness of police violence, individual Black men including Michael Brown, Eric Garner, Philando Castile, and Freddie Gray have been the focus of most media-driven narratives. Yet Black women, Indigenous women, and other women of color also face daily police violence. Invisible No More places the individual stories of women and girls such as Sandra Bland, Dajerria Becton, Mya Hall, and Rekia Boyd into broader contexts, centering women of color within conversations around the twin epidemics of police violence and mass incarceration. Invisible No More also documents the evolution of a movement for justice for women of color targeted by police that has been building for decades, largely in the shadows of mainstream campaigns for racial justice and police accountability. Informed by twenty years of research and advocacy by Black lesbian immigrant and police-misconduct attorney Andrea Ritchie, this groundbreaking work demands a sea change in how police violence is understood by mainstream media, policymakers, academics, and the general public, as well as a radical rethinking of our visions of safety and the means we devote to achieving it."

How to Lie with Statistics


Darrell Huff - 1954
    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.

Trigonometric Delights


Eli Maor - 1998
    It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

Algorithms of Oppression: How Search Engines Reinforce Racism


Safiya Umoja Noble - 2018
    But, if you type in "white girls," the results are radically different. The suggested porn sites and un-moderated discussions about "why black women are so sassy" or "why black women are so angry" presents a disturbing portrait of black womanhood in modern society.In Algorithms of Oppression, Safiya Umoja Noble challenges the idea that search engines like Google offer an equal playing field for all forms of ideas, identities, and activities. Data discrimination is a real social problem; Noble argues that the combination of private interests in promoting certain sites, along with the monopoly status of a relatively small number of Internet search engines, leads to a biased set of search algorithms that privilege whiteness and discriminate against people of color, specifically women of color.Through an analysis of textual and media searches as well as extensive research on paid online advertising, Noble exposes a culture of racism and sexism in the way discoverability is created online. As search engines and their related companies grow in importance - operating as a source for email, a major vehicle for primary and secondary school learning, and beyond - understanding and reversing these disquieting trends and discriminatory practices is of utmost importance.An original, surprising and, at times, disturbing account of bias on the internet, Algorithms of Oppression contributes to our understanding of how racism is created, maintained, and disseminated in the 21st century.

Mental Math: Tricks To Become A Human Calculator


Abhishek V.R. - 2017
    Just read this till the end You don’t have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example:Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn’t hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn’t have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn’t you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don’t have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email for $97 is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will be charged $97. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up.

The Trouble with White Women: A Counterhistory of Feminism


Kyla Schuller - 2021
    Yet they have fought for the few, not the many. As award-winning scholar Kyla Schuller argues, their white feminist politics dispossess the most marginalized to liberate themselves.In The Trouble with White Women, Schuller brings to life the two-hundred-year counter history of Black, Indigenous, Latina, poor, queer, and trans women pushing back against white feminists and uniting to dismantle systemic injustice. These feminist heroes such as Frances Harper, Harriet Jacobs, and Pauli Murray have created an anti-racist feminism for all. But we don’t speak their names and we don’t know their legacies. Unaware of these intersectional leaders, feminists have been led down the same dead-end alleys generation after generation, often working within the structures of racism, capitalism, homophobia, and transphobia rather than against them. Building a more just feminist politics for today requires a reawakening, a return to the movement’s genuine vanguards and visionaries. Their compelling stories, campaigns, and conflicts reveal the true potential of feminist liberation. The Trouble with White Women gives feminists today the tools to fight for the flourishing of all.

Guyland: The Perilous World Where Boys Become Men


Michael S. Kimmel - 2008
    As he walks with us through dark territories, he points out the significant and reflects on its meaning.”—Mary Pipher, Ph.D., author of Reviving OpheliaThe passage from adolescence to adulthood was once clear. Today, growing up has become more complex and confusing, as young men drift casually through college and beyond—hanging out, partying, playing with tech toys, watching sports. But beneath the appearance of a simple extended boyhood, a more dangerous social world has developed, far away from the traditional signposts and cultural signals that once helped boys navigate their way to manhood—a territory Michael Kimmel has identified as "Guyland."In mapping the troubling social world where men are now made, Kimmel offers a view into the minds and times of America's sons, brothers, and boyfriends, and he works toward redefining what it means to be a man today—and tomorrow. Only by understanding this world and this life stage can we enable young men to chart their own paths, stay true to themselves, and emerge safely from Guyland as responsible and fully formed male adults.

Change is the Only Constant: The Wisdom of Calculus in a Madcap World


Ben Orlin - 2019
    By spinning 28 mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.