A History In Sum

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.

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, complex analysis, and other esoteric subdisciplines that are rarely 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 transformed the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Influential figures 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"--

Determined to banish the ravages of the Depression, win the war, and build a better post-war world, Canadian academics and mandarins applied the ideas of Keynes and Kuznets to the Canadian predicament - a highly regionalized nation interested in building a society that harnessed both the private and public sector to the goal of economic stability and increased national wealth. Today, Canadians know that they can trust the numbers put before them by their national accountants, numbers that support the working culture of our economic citizenship.

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.

When Julia Ridley Smith’s parents died, they left behind a virtual museum of furniture, books, art, and artifacts. Between the contents of their home, the stock from their North Carolina antiques shop, and the ephemera of two lives lived, Smith faced a monumental task. What would she do with her parents’ possessions? Smith’s wise and moving memoir in essays, The Sum of Trifles, peels back the layers of meaning surrounding specific objects her parents owned, from an eighteenth-century miniature to her father’s prosthetics. A vintage hi-fi provides a view of her often tense relationship with her father, whose love of jazz kindled her own artistic impulse. A Japanese screen embodies her mother’s principles of good taste and good manners, while an antebellum quilt prompts Smith to grapple with her family’s slaveholding legacy. Along the way, she turns to literature that illuminates how her inheritance shaped her notions of identity and purpose. The Sum of Trifles offers up dark humor and raw feeling, mixed with an erudite streak. It’s a curious, thoughtful look at how we live in and with our material culture and how we face our losses as we decide what to keep and what to let go.

This book, first published in 1989, the proceedings of the 19th Binghamton Geomorphology Symposium, is the first set of essays focused on the history of the subject. The articles analyse the founding precepts of geomorphology, the early pioneers, the formation of a defined discipline, and the present state of the topic.