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Author: Jens Høyrup
Publisher: Springer Nature
ISBN: 3031481585
Category : Algebra
Languages : en
Pages : 150
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Book Description
This book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna -- with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift.
Author: Jens Høyrup
Publisher: Springer Nature
ISBN: 3031481585
Category : Algebra
Languages : en
Pages : 150
Get Book Here
Book Description
This book provides a unique perspective on the history of European algebra up to the advent of Viète and Descartes. The standard version of this history is written on the basis of a narrow and misleading source basis: the Latin translations of al-Khwārizmī, Fibonacci's Liber abbaci, Luca Pacioli's Summa, Cardano's Ars magna -- with neither Fibonacci nor Pacioli being read in detail. The existence of the Italian abacus and German cossic algebra is at most taken note of but they are not read, leading to the idea that Viète's and Descartes' use of genuine symbolism (not only abbreviations), many unknowns, and abstract coefficients seem to be miraculous leaps. This book traces the meandering development of all these techniques along with the mostly ignored but very important parenthesis function, by means of detailed readings of all pertinent sources, including the abacus and cossic algebra and French algebra from Chuquet to Gosselin. It argues for a necessary distinction between abbreviating glyphs and genuine symbols serving within a symbolic syntax, which allows it to trace the emergence of symbolic calculation. Characterization of the mathematical practice of the environment within which Viète and Descartes moved allows for an explanation of how these two figures did not even need to invent abstract coefficients but rather received them as a gift.
Author: Laura O. Foster
Publisher: Timber Press
ISBN: 1604695382
Category : Travel
Languages : en
Pages : 306
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Book Description
Portland Hill Walks features twenty-four miniature adventures stocked with stunning views, hidden stairways, leafy byways, urban forests, and places to sit, eat, and soak in the local scene. The revised and updated edition offers five new walks in addition to the well-loved classics, with new contemporary and historical photos and easier-to-follow directions. Whether you feel like meandering through old streetcar neighborhoods or climbing a lava dome, there is a hill walk for every mood. New walks take you up to Willamette Stone State Park, across the St. Johns Bridge, down to the South Waterfront (with a ride on the aerial tram), along a stream in Gresham, and up Mounts Talbert and Scott. Portland is a walking city, and Portland Hill Walks will inspire you to enjoy it to its fullest!
Author: Emma Williams
Publisher: BRILL
ISBN: 1848883544
Category : Social Science
Languages : en
Pages : 225
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Book Description
This volume explores the concept of deception from a multidisciplinary perspective, reflecting how deception is considered across numerous fields ranging from literature and historical cases to psychological science.
Author: Roy Chapman Andrews
Publisher:
ISBN:
Category :
Languages : en
Pages : 414
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Book Description
Author: Robert Moor
Publisher: Simon and Schuster
ISBN: 1476739234
Category : Nature
Languages : en
Pages : 352
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Book Description
"In 2009, while thru-hiking the Appalachian Trail, Robert Moor began to wonder about the paths that lie beneath our feet: How do they form? Why do some improve over time while others fade? What makes us follow or strike off on our own? Over the course of the next seven years, Moor traveled the globe, exploring trails of all kinds, from the miniscule to the massive. He learned the tricks of master trail-builders, hunted down long-lost Cherokee trails, and traced the origins of our road networks and the Internet. In each chapter, Moor interweaves his adventures with findings from science, history, philosophy, and nature writing--combining the nomadic joys of Peter Matthiessen with the eclectic wisdom of Lewis Hyde's The Gift. Throughout, Moor reveals how this single topic--the oft-overlooked trail--sheds new light on a wealth of age-old questions: How does order emerge out of chaos? How did animals first crawl forth from the seas and spread across continents? How has humanity's relationship with nature and technology shaped the world around us? And, ultimately, how does each of us pick a path through life? With a breathtaking arc that spans from the dawn of animal life to the digital era, On Trails is a book that makes us see our world, our history, our species, and our ways of life anew"--Book jacket flap.
Author: Donald W. Winnicott
Publisher: Routledge
ISBN: 0429917937
Category : Psychology
Languages : en
Pages : 380
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Book Description
This volume contains ninety-two works by this renowned writer, theoretician, and clinician. Includes critiques of Melanie Klein's ideas and insights into the works of other leading psychoanalysts, and thoughts on such concepts as play in the analytic situation, the fate of the transitional object, regression in psychoanalysis, and the use of silence in psychotherapy.
Author: Katie Ives
Publisher: Mountaineers Books
ISBN: 1594859817
Category : History
Languages : en
Pages : 427
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Book Description
Author is a renowned writer in international climbing community Fascinating story of hoax that inspired a quest for a North American Shangri-La Vivid recounting of fabled mountains from across the world Using an infamous deception about a fake mountain range in British Columbia as her jumping-off point, Katie Ives, the well-known editor of Alpinist, explores the lure of blank spaces on the map and the value of the imagination. In Imaginary Peaks she details the cartographical mystery of the Riesenstein Hoax within the larger context of climbing history and the seemingly endless quest for newly discovered peaks and claims of first ascents. Imaginary Peaks is an evocative, thought-provoking tale, immersed in the literature of exploration, study of maps, and basic human desire.
Author: Bill Bryson
Publisher: Anchor Canada
ISBN: 0385674546
Category : Travel
Languages : en
Pages : 322
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Book Description
God only knows what possessed Bill Bryson, a reluctant adventurer if ever there was one, to undertake a gruelling hike along the world's longest continuous footpath—The Appalachian Trail. The 2,000-plus-mile trail winds through 14 states, stretching along the east coast of the United States, from Georgia to Maine. It snakes through some of the wildest and most spectacular landscapes in North America, as well as through some of its most poverty-stricken and primitive backwoods areas. With his offbeat sensibility, his eye for the absurd, and his laugh-out-loud sense of humour, Bryson recounts his confrontations with nature at its most uncompromising over his five-month journey. An instant classic, riotously funny, A Walk in the Woods will add a whole new audience to the legions of Bill Bryson fans.
Author: Rachel Bowlby
Publisher: Oxford University Press
ISBN: 0198727690
Category : Literary Criticism
Languages : en
Pages : 197
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Book Description
It has often been argued that literature that tries to copy reality can't succeed, because the world is one thing, and words another. This is to forget that ordinary daily life is already full of words and images and stories: we spend our days talking and writing about what's going on, what happened, and who might be feeling what about whom and why. Everyday Stories makes us think again about the ordinary life we are in, day afterday and day by day: always the same, and always slightly changing. Entering into the single day, drawing out the stories that surround us, this book goes into everyday stories of many descriptions, old and new:both in literature and in that story-laden place and time we call real life.
Author: Marion Milner
Publisher: Taylor & Francis
ISBN: 1040025102
Category : Psychology
Languages : en
Pages : 171
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Book Description
'This is what I really want. I want to discover ways to discriminate the important things in human life. I want to find ways of getting past this blind fumbling with existence.' - Marion Milner, from A Life of One’s Own. How often do we really ask ourselves, 'What will make me happy? What do I really want from life?' In A Life of One’s Own Marion Milner, a renowned British psychoanalyst, artist and autobiographer, takes us on an extraordinary and compelling seven-year inward journey to discover what it is that makes her happy. On its first publication, W. H. Auden found the book 'as exciting as a detective story' and, as Milner searches out clues, the reader quickly becomes involved in the chase. Using her own personal diaries, she analyses moments of everyday life that can bring surprising joy, such as walking, listening to music, and drawing. She also records, in a disarmingly clear and insightful manner, the struggle between the urge to order and control one’s thoughts and standing back to let them wander where they may. A pioneering account of lived experience that also anticipates the contemporary phenomenon of mindfulness, A Life of One’s Own is a great adventure in thinking and living whose insights remain as fresh today as they were on the book’s first publication in the 1930s. This Routledge Classics edition includes a revised Introduction by Rachel Bowlby.
