Dr. Euler's Fabulous Formula

Dr. Euler's Fabulous Formula

Author: Paul J. Nahin

Publisher: Princeton University Press

Published: 2017-04-04

Total Pages: 416

ISBN-13: 0691175918

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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.


Equations from God

Equations from God

Author: Daniel J. Cohen

Publisher: JHU Press

Published: 2007-04-08

Total Pages: 374

ISBN-13: 0801891868

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This illuminating history explores the complex relationship between mathematics, religious belief, and Victorian culture. Throughout history, application rather than abstraction has been the prominent driving force in mathematics. From the compass and sextant to partial differential equations, mathematical advances were spurred by the desire for better navigation tools, weaponry, and construction methods. But the religious upheaval in Victorian England and the fledgling United States opened the way for the rediscovery of pure mathematics, a tradition rooted in Ancient Greece. In Equations from God, Daniel J. Cohen captures the origins of the rebirth of abstract mathematics in the intellectual quest to rise above common existence and touch the mind of the deity. Using an array of published and private sources, Cohen shows how philosophers and mathematicians seized upon the beautiful simplicity inherent in mathematical laws to reconnect with the divine and traces the route by which the divinely inspired mathematics of the Victorian era begot later secular philosophies.


A Strange Wilderness

A Strange Wilderness

Author: Amir D. Aczel

Publisher: Union Square + ORM

Published: 2011-10-04

Total Pages: 328

ISBN-13: 1402790856

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The international bestselling author of Fermat’s Last Theorem explores the eccentric lives of history’s foremost mathematicians. From Archimedes’s eureka moment to Alexander Grothendieck’s seclusion in the Pyrenees, bestselling author Amir Aczel selects the most compelling stories in the history of mathematics, creating a colorful narrative that explores the quirky personalities behind some of the most groundbreaking, influential, and enduring theorems. Alongside revolutionary innovations are incredible tales of duels, battlefield heroism, flamboyant arrogance, pranks, secret societies, imprisonment, feuds, and theft—as well as some costly errors of judgment that prove genius doesn’t equal street smarts. Aczel’s colorful and enlightening profiles offer readers a newfound appreciation for the tenacity, complexity, eccentricity, and brilliance of our greatest mathematicians.


When Computers Were Human

When Computers Were Human

Author: David Alan Grier

Publisher: Princeton University Press

Published: 2013-11-01

Total Pages: 423

ISBN-13: 1400849365

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Before Palm Pilots and iPods, PCs and laptops, the term "computer" referred to the people who did scientific calculations by hand. These workers were neither calculating geniuses nor idiot savants but knowledgeable people who, in other circumstances, might have become scientists in their own right. When Computers Were Human represents the first in-depth account of this little-known, 200-year epoch in the history of science and technology. Beginning with the story of his own grandmother, who was trained as a human computer, David Alan Grier provides a poignant introduction to the wider world of women and men who did the hard computational labor of science. His grandmother's casual remark, "I wish I'd used my calculus," hinted at a career deferred and an education forgotten, a secret life unappreciated; like many highly educated women of her generation, she studied to become a human computer because nothing else would offer her a place in the scientific world. The book begins with the return of Halley's comet in 1758 and the effort of three French astronomers to compute its orbit. It ends four cycles later, with a UNIVAC electronic computer projecting the 1986 orbit. In between, Grier tells us about the surveyors of the French Revolution, describes the calculating machines of Charles Babbage, and guides the reader through the Great Depression to marvel at the giant computing room of the Works Progress Administration. When Computers Were Human is the sad but lyrical story of workers who gladly did the hard labor of research calculation in the hope that they might be part of the scientific community. In the end, they were rewarded by a new electronic machine that took the place and the name of those who were, once, the computers.


The Four-Color Theorem

The Four-Color Theorem

Author: Rudolf Fritsch

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 269

ISBN-13: 1461217202

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This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required to print a map so that no two adjoining countries have the same color? This problem remained unsolved until the 1950s, when it was finally cracked using a computer. This book discusses the history and mathematics of the problem, as well as the philosophical debate which ensued, regarding the validity of computer generated proofs.


The Development of Peirce's Philosophy

The Development of Peirce's Philosophy

Author: Murray G. Murphey

Publisher: Hackett Publishing

Published: 1993-01-01

Total Pages: 454

ISBN-13: 9780872201835

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A reprint of the Harvard University Press edition of 1961. Includes a new preface and a new appendix with footnotes keyed to the manuscript classifications by Max Fisch.


Almanac of American Military History [4 volumes]

Almanac of American Military History [4 volumes]

Author: Spencer C. Tucker

Publisher: Bloomsbury Publishing USA

Published: 2012-11-21

Total Pages: 2561

ISBN-13: 1598845314

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This almanac provides a comprehensive, chronological overview of all American military history, serving as the standard reference work of its type. Almanac of American Military History is yet another reference work from acclaimed historian Dr. Spencer C. Tucker and ABC-CLIO, offering an unprecedented resource for a wide range of students and researchers. A comprehensive, four-volume title, this almanac traces all of American military history from the European voyages of discovery through 2011, chronicling the pivotal moments that have shaped the United States into the country it is today. In addition to documenting key events, this title presents biographies of more than 250 key individuals and provides information on more than 250 historically significant technologies and weapons systems. A detailed glossary is included, as are discussions of ranks and military awards and decorations. Divided into conflict periods, each chapter includes a detailed chronology, reference-entry sidebars, statistical information, primary-source documents, and a bibliography.


Dictionary of Early American Philosophers

Dictionary of Early American Philosophers

Author: John R. Shook

Publisher: Bloomsbury Publishing USA

Published: 2012-04-05

Total Pages: 1252

ISBN-13: 1441171401

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The Dictionary of Early American Philosophers, which contains over 400 entries by nearly 300 authors, provides an account of philosophical thought in the United States and Canada between 1600 and 1860. The label of "philosopher" has been broadly applied in this Dictionary to intellectuals who have made philosophical contributions regardless of academic career or professional title. Most figures were not academic philosophers, as few such positions existed then, but they did work on philosophical issues and explored philosophical questions involved in such fields as pedagogy, rhetoric, the arts, history, politics, economics, sociology, psychology, medicine, anthropology, religion, metaphysics, and the natural sciences. Each entry begins with biographical and career information, and continues with a discussion of the subject's writings, teaching, and thought. A cross-referencing system refers the reader to other entries. The concluding bibliography lists significant publications by the subject, posthumous editions and collected works, and further reading about the subject.