Euclid's Elements
Author: Euclid
Publisher:
Published: 2002
Total Pages: 544
ISBN-13:
DOWNLOAD EBOOK"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
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Euclid and His Modern Rivals
Author: Lewis Carroll
Publisher:
Published: 1885
Total Pages: 318
ISBN-13:
DOWNLOAD EBOOKThe Alice Books and the Contested Ground of the Natural World
Author: Laura White
Publisher: Taylor & Francis
Published: 2017-06-26
Total Pages: 266
ISBN-13: 1351803611
DOWNLOAD EBOOKThough popular opinion would have us see Alice’s Adventures in Wonderland and Through the Looking Glass and What Alice Found There as whimsical, nonsensical, and thoroughly enjoyable stories told mostly for children; contemporary research has shown us there is a vastly greater depth to the stories than would been seen at first glance. Building on the now popular idea amongst Alice enthusiasts, that the Alice books - at heart - were intended for adults as well as children, Laura White takes current research in a new, fascinating direction. During the Victorian era of the book’s original publication, ideas about nature and our relation to nature were changing drastically. The Alice Books and the Contested Ground of the Natural World argues that Lewis Carroll used the book’s charm, wit, and often puzzling conclusions to counter the emerging tendencies of the time which favored Darwinism and theories of evolution and challenged the then-conventional thinking of the relationship between mankind and nature. Though a scientist and ardent student of nature himself, Carroll used his famously playful language, fantastic worlds and brilliant, often impossible characters to support more the traditional, Christian ideology of the time in which mankind holds absolute sovereignty over animals and nature.
Euclid and His Twentieth Century Rivals
Author: Nathaniel Miller
Publisher: Center for the Study of Language and Information Publica Tion
Published: 2007
Total Pages: 136
ISBN-13:
DOWNLOAD EBOOKTwentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to the use of diagrams in proofs. In Euclid and His Twentieth-Century Rivals, Nathaniel Miller discusses the history of diagrams in Euclidean Geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously. Miller also introduces a diagrammatic computer proof system, based on this formal system. This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.
Lewis Carroll in Numberland
Author: Robin Wilson
Publisher: Penguin UK
Published: 2008-07-30
Total Pages: 311
ISBN-13: 0141920785
DOWNLOAD EBOOKLewis Carroll's books have delighted children and adults for generations, but behind their exuberant fantasy and delightful nonsense was the mind of a brilliant mathematician. Now his forgotten achievements in the world of numbers are brought to light by acclaimed author and mathematician Robin Wilson. Here he explores the curious imagination of a man whose pioneering work at Oxford University included investigations into voting patterns and tennis seeding, who dreamt up numerical conundrums in bed at night and who filled his writings with problems, paradoxes, puzzles and teasing games of logic. Taking us into a world of mock turtles and maps, gryphons and gravity, Lewis Carroll in Numberland reveals the singular mind of a genius.
Encounters with Euclid
Author: Benjamin Wardhaugh
Publisher: Princeton University Press
Published: 2023-11-14
Total Pages: 416
ISBN-13: 0691235767
DOWNLOAD EBOOKA sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
The Mathematical World of Charles L. Dodgson (Lewis Carroll)
Author: Robin Wilson
Publisher: Oxford University Press
Published: 2019-02-14
Total Pages: 281
ISBN-13: 0192549014
DOWNLOAD EBOOKCharles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll. Yet, whilst lauded for his work in children's fiction and his pioneering work in the world of Victorian photography, his everyday job was a lecturer in Mathematics at Christ Church, Oxford University. The Mathematical World of Charles L. Dodgson (Lewis Carroll) explores the academic background behind this complex individual, outlining his mathematical life, describing his writings in geometry, algebra, logic, the theory of voting, and recreational mathematics, before going on to discuss his mathematical legacy. This is the first academic work that collects the research on Dodgson's wide-ranging mathematical achievements into a single practical volume. Much material appears here for the first time, such as Dodgson's personal letters and drawings, as well as the results of recent investigations into the life and work of Dodgson. Complementing this are many illustrations, both historical and explanatory, as well as a full mathematical bibliography of Dodgson's mathematical publications.
The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected
Author: Euclid
Publisher:
Published: 1817
Total Pages: 558
ISBN-13:
DOWNLOAD EBOOKEuclid and His Modern Rivals
Author: Charles Lutwidge Dodgson
Publisher: DigiCat
Published: 2022-05-29
Total Pages: 168
ISBN-13:
DOWNLOAD EBOOKEuclid and His Modern Rivals is a mathematical book by the British mathematician Charles Lutwidge Dodgson, known under his literary pseudonym "Lewis Carroll." The book evaluates the educational merits of thirteen contemporary geometry textbooks compared to Euclid's Elements. Caroll demonstrates that every of the presented geometry books of his time was inferior to or functionally identical to Wuclid's oeuvre.
The Story of Alice
Author: Robert Douglas-Fairhurst
Publisher: Belknap Press
Published: 2016-08-15
Total Pages: 497
ISBN-13: 0674970764
DOWNLOAD EBOOKFollowing his acclaimed life of Dickens, Robert Douglas-Fairhurst illuminates the tangled history of two lives and two books. Drawing on numerous unpublished sources, he examines in detail the peculiar friendship between the Oxford mathematician Charles Dodgson (Lewis Carroll) and Alice Liddell, the child for whom he invented the Alice stories, and analyzes how this relationship stirred Carroll’s imagination and influenced the creation of Wonderland. It also explains why Alice in Wonderland (1865) and its sequel, Through the Looking-Glass (1871), took on an unstoppable cultural momentum in the Victorian era and why, a century and a half later, they continue to enthrall and delight readers of all ages. The Story of Alice reveals Carroll as both an innovator and a stodgy traditionalist, entrenched in habits and routines. He had a keen double interest in keeping things moving and keeping them just as they are. (In Looking-Glass Land, Alice must run faster and faster just to stay in one place.) Tracing the development of the Alice books from their inception in 1862 to Liddell’s death in 1934, Douglas-Fairhurst also provides a keyhole through which to observe a larger, shifting cultural landscape: the birth of photography, changing definitions of childhood, murky questions about sex and sexuality, and the relationship between Carroll’s books and other works of Victorian literature. In the stormy transition from the Victorian to the modern era, Douglas-Fairhurst shows, Wonderland became a sheltered world apart, where the line between the actual and the possible was continually blurred.
