Summing It Up

Author : Avner Ash,Robert Gross
Publisher : Princeton University Press
Page : 248 pages
File Size : 45,5 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9780691178516

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Summing It Up by Avner Ash,Robert Gross Pdf

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.

Author : W. Somerset Maugham
Publisher : DigiCat
Page : 210 pages
File Size : 49,8 Mb
Release : 2022-08-01
Category : Fiction
ISBN : EAN:8596547117124

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The Summing Up by W. Somerset Maugham Pdf

DigiCat Publishing presents to you this special edition of "The Summing Up" by W. Somerset Maugham. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.

Author : Irving Singer
Publisher : MIT Press
Page : 145 pages
File Size : 51,7 Mb
Release : 2011-01-07
Category : Philosophy
ISBN : 9780262261166

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Philosophy of Love by Irving Singer Pdf

The author of the classic philosophical treatment of love reflects on the trajectory, over decades, of his thoughts on love and other topics. In 1984, Irving Singer published the first volume of what would become a classic and much acclaimed trilogy on love. Trained as an analytical philosopher, Singer first approached his subject with the tools of current philosophical methodology. Dissatisfied by the initial results (finding the chapters he had written “just dreary and unproductive of anything”), he turned to the history of ideas in philosophy and the arts for inspiration. He discovered an immensity of speculation and artistic practice that reached wholly beyond the parameters he had been trained to consider truly philosophical. In his three-volume work The Nature of Love, Singer tried to make sense of this historical progression within a framework that reflected his precise distinction-making and analytical background. In this new book, he maps the trajectory of his thinking on love. It is a “partial” summing-up of a lifework: partial because it expresses the author's still unfolding views, because it is a recapitulation of many published pages, because love—like any subject of that magnitude—resists a neatly comprehensive, all-inclusive formulation. Adopting an informal, even conversational, tone, Singer discusses, among other topics, the history of romantic love, the Platonic ideal, courtly and nineteenth-century Romantic love; the nature of passion; the concept of merging (and his critique of it); ideas about love in Freud, Schopenhauer, Nietzsche, Dewey, Santayana, Sartre, and other writers; and love in relation to democracy, existentialism, creativity, and the possible future of scientific investigation. Singer's writing on love embodies what he has learned as a contemporary philosopher, studying other authors in the field and “trying to get a little further.” This book continues his trailblazing explorations.

Author : Richard J. LIGHT,David B. Pillemer,Richard J Light
Publisher : Harvard University Press
Page : 208 pages
File Size : 53,8 Mb
Release : 2009-06-30
Category : Education
ISBN : 9780674040243

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Summing Up by Richard J. LIGHT,David B. Pillemer,Richard J Light Pdf

How can a scientist or policy analyst summarize and evaluate what is already known about a particular topic? This book offers practical guidance. The amount and diversity of information generated by academic and policy researchers in the contemporary world is staggering. How is an investigator to cope with the tens or even hundreds of studies on a particular problem? How can conflicting findings be reconciled? Richard Light and David Pillemer have developed both general guidelines and step-by-step procedures that can be used to synthesize existing data. They show how to apply quantitative methods, including the newest statistical procedures and simple graphical displays, to evaluate a mass of studies and combine separate data sets. At the same time, they insist on the value of qualitative information, of asking the right questions, and of considering the context in which research is conducted. The authors use exemplary reviews in education, psychology, health, and the policy sciences to illustrate their suggestions. Written in nontechnical language and addressed to the beginning researcher as well as to the practicing professional, Summing Up will set a new standard for valid research reviews and is likely to become a methodological classic.

Author : Yitzhak Shamir
Publisher : Unknown
Page : 276 pages
File Size : 52,5 Mb
Release : 1994-10-01
Category : Electronic
ISBN : 0788157361

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Summing Up by Yitzhak Shamir Pdf

0-7881-5736-1 Yitzhak Shamir, former Prime Minister of Israel, tells the story of his life, from the years of deep cover in the underground that fought for Jewish independence in the Palestine of the 1940s to the decade he spent in the shadows of the Mossad, Israel1s intelligence service, and to his emergence as the leader of Israel1s complex and precarious foreign and domestic involvements. Discloses his own view of the peace process and U.S.-Israeli relations. Also provides insights into such personalities as Menachem Begin, Anwar Sadat, Reagan, Bush and John Major and into Israel1s right wing, its origins, its philosophies and its political heroes. Photos.

Author : Pat Head Summitt,Sally Jenkins
Publisher : Crown
Page : 434 pages
File Size : 43,7 Mb
Release : 2014-03-04
Category : Biography & Autobiography
ISBN : 9780385347051

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Sum It Up by Pat Head Summitt,Sally Jenkins Pdf

Pat Summitt, the all-time winningest coach in NCAA basketball history and bestselling author of Reach for the Summitt and Raise The Roof, tells for the first time her remarkable story of victory and resilience as well as facing down her greatest challenge: early-onset Alzheimer's disease. Pat Summitt was only 21 when she became head coach of the Tennessee Vols women's basketball team. For 38 years, she broke records, winning more games than any NCAA team in basketball history. She coached an undefeated season, co-captained the first women's Olympic team, was inducted into the Basketball Hall of Fame, and was named Sports Illustrated 'Sportswoman of the Year'. She owed her coaching success to her personal struggles and triumphs. She learned to be tough from her strict, demanding father. Motherhood taught her to balance that rigidity with communication and kindness. She was a role model for the many women she coached; 74 of her players have become coaches. Pat's life took a shocking turn in 2011, when she was diagnosed with early-onset Alzheimer's disease, an irreversible brain condition that affects 5 million Americans. Despite her devastating diagnosis, she led the Vols to win their sixteenth SEC championship in March 2012. Pat continued to be a fighter, facing this new challenge the way she's faced every other--with hard work, perseverance, and a sense of humor.

Author : David Eagleman
Publisher : Vintage
Page : 128 pages
File Size : 46,9 Mb
Release : 2009-02-10
Category : Fiction
ISBN : 9780307378026

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Sum by David Eagleman Pdf

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.

Author : Avner Ash,Robert Gross
Publisher : Princeton University Press
Page : 308 pages
File Size : 40,6 Mb
Release : 2008-08-24
Category : Mathematics
ISBN : 9780691138718

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Fearless Symmetry by Avner Ash,Robert Gross Pdf

Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.

Author : Arthur Koestler
Publisher : Last Century Media
Page : 368 pages
File Size : 54,5 Mb
Release : 1978-06
Category : Electronic
ISBN : 1939438950

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Janus by Arthur Koestler Pdf

The most adventourous, polymathic - and readable - scientific populariser of the age offers in Janus a summing up of a quarter of a century's study and speculations on the life sciences and their philosophic implications. Koestler has an interesting theme to propose. It is this; the human brain has developed a terrible biological flaw, such that it is working now against the survival of the race. Something has "snapped" inside the brain. It is no longer necessarily a function which will lead us to a better world, but something demonic, possessed, perhaps even evil. The anguished humanity of Koestler's concepts and the lucid energy of his style comman respect. Here is one of the major political "experiencers" an dmost widely informed spirits of the age turning to the crux of human survival on a ravaged planet. The title of the book tells not only of a central allegory of division in the human species. It stands for the rare tension on Koestler's discourses: between desolation and zest, between darkness and noon.

Author : Bertram Fields
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2019-04-14
Category : Electronic
ISBN : 0999852752

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Summing Up by Bertram Fields Pdf

The professional memoir of lawyer Bertram Fields.

Author : Heather McGhee
Publisher : One World
Page : 450 pages
File Size : 43,8 Mb
Release : 2021-02-16
Category : Social Science
ISBN : 9780525509578

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The Sum of Us by Heather McGhee Pdf

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

Author : Avner Ash,Robert Gross
Publisher : Princeton University Press
Page : 277 pages
File Size : 46,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9780691151199

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Elliptic Tales by Avner Ash,Robert Gross Pdf

Describes the latest developments in number theory by looking at the Birch and Swinnerton-Dyer Conjecture.

Author : Jens Beckert,Patrik Aspers
Publisher : Oxford University Press
Page : 361 pages
File Size : 41,7 Mb
Release : 2011-06-23
Category : Business & Economics
ISBN : 9780199594641

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The Worth of Goods by Jens Beckert,Patrik Aspers Pdf

Drawing on theory and empirical research, this interdisciplinary book brings together leading social scientists to examine how prices are set and how values emerge inside and outside of markets, which have become the central force in the contemporary economy.

Author : Colin Wilson,Robin Odell
Publisher : Bantam Books
Page : 352 pages
File Size : 47,5 Mb
Release : 1987
Category : History
ISBN : UOM:39015040112206

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Jack the Ripper by Colin Wilson,Robin Odell Pdf

Author : Julia Ridley Smith
Publisher : University of Georgia Press
Page : 254 pages
File Size : 51,6 Mb
Release : 2021-11-01
Category : Biography & Autobiography
ISBN : 9780820360423

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The Sum of Trifles by Julia Ridley Smith Pdf

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.