In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

This fascinating three-thousand-year history of the census traces the making of the modern survey and explores its political power in the age of big data and surveillance. In April 2020, the United States will embark on what has been called "the largest peacetime mobilization in American history": the decennial population census. It is part of a tradition of counting people that goes back at least three millennia and now spans the globe. In The Sum of the People, data scientist Andrew Whitby traces the remarkable history of the census, from ancient China and the Roman Empire, through revolutionary America and Nazi-occupied Europe, to the steps of the Supreme Court. Marvels of democracy, instruments of exclusion, and, at worst, tools of tyranny and genocide, censuses have always profoundly shaped the societies we've built. Today, as we struggle to resist the creep of mass surveillance, the traditional census -- direct and transparent -- may offer the seeds of an alternative.

"This volume delivers a concise, clear round-up of American history starting from America's colonial era to current days of political disagreements and social uncertainty. Covering central themes and events of American history, Masur evaluates the contested meanings of the American dream and questions its viability"--

NEW YORK TIMES BESTSELLER • LONGLISTED FOR THE NATIONAL BOOK AWARD • One of today’s most insightful and influential thinkers offers a powerful exploration of inequality and the lesson that generations of Americans have failed to learn: Racism has a cost for everyone—not just for people of color. WINNER OF THE PORCHLIGHT BUSINESS BOOK AWARD • ONE OF THE BEST BOOKS OF THE YEAR: Time, The Washington Post, St. Louis Post-Dispatch, Ms. magazine, BookRiot, Library Journal “This is the book I’ve been waiting for.”—Ibram X. Kendi, #1 New York Times bestselling author of How to Be an Antiracist Look for the author’s new podcast, The Sum of Us, based on this book! Heather McGhee’s specialty is the American economy—and the mystery of why it so often fails the American public. From the financial crisis of 2008 to rising student debt to collapsing public infrastructure, she found a root problem: racism in our politics and policymaking. But not just in the most obvious indignities for people of color. Racism has costs for white people, too. It is the common denominator of our most vexing public problems, the core dysfunction of our democracy and constitutive of the spiritual and moral crises that grip us all. But how did this happen? And is there a way out? McGhee embarks on a deeply personal journey across the country from Maine to Mississippi to California, tallying what we lose when we buy into the zero-sum paradigm—the idea that progress for some of us must come at the expense of others. Along the way, she meets white people who confide in her about losing their homes, their dreams, and their shot at better jobs to the toxic mix of American racism and greed. This is the story of how public goods in this country—from parks and pools to functioning schools—have become private luxuries; of how unions collapsed, wages stagnated, and inequality increased; and of how this country, unique among the world’s advanced economies, has thwarted universal healthcare. But in unlikely places of worship and work, McGhee finds proof of what she calls the Solidarity Dividend: the benefits we gain when people come together across race to accomplish what we simply can’t do on our own. The Sum of Us is not only a brilliant analysis of how we arrived here but also a heartfelt message, delivered with startling empathy, from a black woman to a multiracial America. It leaves us with a new vision for a future in which we finally realize that life can be more than a zero-sum game. LONGLISTED FOR THE ANDREW CARNEGIE MEDAL

At once funny, wistful and unsettling, Sum is a dazzling exploration of unexpected afterlives—each presented as a vignette that offers a stunning lens through which to see ourselves in the here and now. In one afterlife, you may find that God is the size of a microbe and unaware of your existence. In another version, you work as a background character in other people’s dreams. Or you may find that God is a married couple, or that the universe is running backward, or that you are forced to live out your afterlife with annoying versions of who you could have been. With a probing imagination and deep understanding of the human condition, acclaimed neuroscientist David Eagleman offers wonderfully imagined tales that shine a brilliant light on the here and now.

Why have the major post-9/11 US military interventions turned into quagmires? Despite huge power imbalances in the United States' favor, significant capacity-building efforts, and repeated tactical victories by what many observers call the world's best military, the wars in Afghanistan and Iraq turned intractable. The US government's fixation on zero-sum, decisive victory in these conflicts is a key reason why military operations to overthrow two developing-world regimes failed to successfully achieve favorable and durable outcomes. In Zero-Sum Victory, retired US Army colonel Christopher D. Kolenda identifies three interrelated problems that have emerged from the government's insistence on zero-sum victory. First, the US government has no organized way to measure successful outcomes other than a decisive military victory, and thus, selects strategies that overestimate the possibility of such an outcome. Second, the United States is slow to recognize and modify or abandon losing strategies; in both cases, US officials believe their strategies are working, even as the situation deteriorates. Third, once the United States decides to withdraw, bargaining asymmetries and disconnects in strategy undermine the prospects for a successful transition or negotiated outcome. Relying on historic examples and personal experience, Kolenda draws thought-provoking and actionable conclusions about the utility of American military power in the contemporary world—insights that serve as a starting point for future scholarship as well as for important national security reforms.

In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard's mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics--in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics--an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce's successors--William Fogg Osgood and Maxime Bôcher--undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators--students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.