AN IMAGINARY TALE

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An Imaginary Tale

Author : Paul J. Nahin
ISBN : 140083029X
Genre : Mathematics
File Size : 36.60 MB
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Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics.
Category: Mathematics

Superman Batman

Author : John Byrne
ISBN : OCLC:298850298
Genre : Batman (Fictitious character)
File Size : 26.40 MB
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Category: Batman (Fictitious character)

Superman Batman

Author : John Byrne
ISBN : 1563899906
Genre : Batman (Fictitious character)
File Size : 56.75 MB
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Category: Batman (Fictitious character)

Back Issue 111

Author : Michael Eury
ISBN :
Genre : Comics & Graphic Novels
File Size : 74.47 MB
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“Alternate Realities!” Cover-featuring the 20th anniversary of ALEX ROSS and JIM KRUEGER’s Marvel Earth X! Plus: What If?, Bronze Age DC Imaginary Stories, Elseworlds, Marvel 2099, and PETER DAVID and GEORGE PÉREZ’s senses-shattering Hulk: Future Imperfect. Featuring TOM DeFALCO, CHUCK DIXON, PETER B. GILLIS, PAT MILLS, ROY THOMAS, and many more! Featuring an Earth X cover by ALEX ROSS.
Category: Comics & Graphic Novels

A History Of Abstract Algebra

Author : Israel Kleiner
ISBN : 9780817646851
Genre : Mathematics
File Size : 81.1 MB
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This book does nothing less than provide an account of the intellectual lineage of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared insoluble by classical means. A major theme of the book is to show how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference.
Category: Mathematics

Adventures In Paradox

Author : Charles D. Presberg
ISBN : 9780271072340
Genre : Literary Criticism
File Size : 39.94 MB
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Cervantes’s Don Quixote confronts us with a series of enigmas that, over the centuries, have divided even its most expert readers: Does the text pursue a serious or comic purpose? Does it promote the truth of history and the untruth of fiction, or the truth of poetry and the fictiveness of truth itself? In a book that will revise the way we read and debate Don Quixote, Charles D. Presberg discusses the trope of paradox as a governing rhetorical strategy in this most canonical of Spanish literary texts. To situate Cervantes’s masterpiece within the centuries-long praxis of paradoxical discourse in the West, Presberg surveys its tradition in Classical Antiquity, the Middle Ages, and the European Renaissance. He outlines the development of paradoxy in the Spanish Renaissance, centering on works by Fernando de Rojas, Pero Mexía, and Antonio de Guevara. In his detailed reading of portions of Don Quixote, Presberg shows how Cervantes’s work enlarges the tradition of paradoxical discourse by imitating as well as transforming fictional and nonfictional models. He concludes that Cervantes’s seriocomic "system" of paradoxy jointly parodies, celebrates, and urges us to ponder the agency of discourse in the continued refashioning of knowledge, history, culture, and personal identity. This engaging book will be welcomed by literary scholars, Hispanisists, historians, and students of the history of rhetoric and poetics.
Category: Literary Criticism

Super History

Author : Jeffrey K. Johnson
ISBN : 9780786490356
Genre : Literary Criticism
File Size : 83.32 MB
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In the less than eight decades since Superman’s debut in 1938, comic book superheroes have become an indispensable part of American society and the nation’s dominant mythology. They represent America’s hopes, dreams, fears, and needs. As a form of popular literature, superhero narratives have closely mirrored trends and events in the nation. This study views American history from 1938 to 2010 through the lens of superhero comics, revealing the spandex-clad guardians to be not only fictional characters but barometers of the place and time in which they reside. Instructors considering this book for use in a course may request an examination copy here.
Category: Literary Criticism

Dr Euler S Fabulous Formula

Author : Paul J. Nahin
ISBN : 9780691175911
Genre : Mathematics
File Size : 69.78 MB
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In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.
Category: Mathematics