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The Sand Reckoner

Author: Gillian Bradshaw
Publisher: Forge Books
ISBN: 1429971169
Size: 53.29 MB
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The young scholar Archimedes has just had the best three years of his life at Ptolemy's Museum at Alexandria. To be able to talk and think all day, every day, sharing ideas and information with the world's greatest minds, is heaven to Archimedes. But heaven must be forsaken when he learns that his father is ailing, and his home city of Syracuse is at war with the Romans. Reluctant but resigned, Archimedes takes himself home to find a job building catapults as a royal engineer. Though Syracuse is no Alexandria, Archimedes also finds that life at home isn't as boring or confining as he originally thought. He finds fame and loss, love and war, wealth and betrayal-none of which affects him nearly as much as the divine beauty of mathematics. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Marc Holiday And The Sand Reckoner 1

Author: Mark Reeder
Publisher: Lulu Press, Inc
ISBN: 1483479528
Size: 38.48 MB
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Math genius Marc Holiday would like nothing more than to be a typical tweener, with friends who come over after school to play video games and a mom who’ll bake him his favorite chocolate chip cookies. Yet ever since his mom died, all Marc ever sees is the inside of the classroom at his middle school, advanced math classes at the University of Washington in Seattle, and more studying when he gets home. His stepfather won’t let him go anywhere or do anything for fun. But everything changes when Marc meets the mysterious Time Doctor, Dr. Jake Tam, and goes on the most startling adventure of his life. There the eleven-year old Marc Holiday discovers he holds the key to unlocking the galaxy’s past and freeing its future ... if he lives through the experience.

The Sand Reckoner

Author: Archimedes
Publisher: CreateSpace
ISBN: 9781517349844
Size: 27.90 MB
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THE CLASSIC WORK OF ARCHIMEDES The Sand-Reckoner Dimensio Circuli of Archimedes Translated by Thomas L. Heath (Original publication: Cambridge University Press, 1897). The Sand Reckoner is a work by Archimedes in which he set out to determine an upper bound for the number of grains of sand that fit into the universe. In order to do this, he had to estimate the size of the universe according to the contemporary model, and invent a way to talk about extremely large numbers. The work, also known in Latin as Archimedis Syracusani Arenarius and Dimensio Circuli, which is about 8 pages long in translation, is addressed to the Syracusan king Gelo II (son of Hiero II), and is probably the most accessible work of Archimedes; in some sense, it is the first research-expository paper. Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere and a cylinder, which Archimedes had requested to be placed on his tomb, representing his mathematical discoveries. Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus in Byzantine Constantinople, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance, while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.


Author: Books Group Staff
Publisher: Books LLC, Wiki Series
ISBN: 9781157630234
Size: 47.68 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 29. Chapters: Works by Archimedes, Archimedes' screw, Archimedes Palimpsest, The Sand Reckoner, Ostomachion, The Method of Mechanical Theorems, Archimedes' cattle problem, Book of Lemmas, Siege of Syracuse, The Quadrature of the Parabola, Archimedes' principle, Measurement of a Circle, Salinon, On Spirals, On the Sphere and Cylinder, Claw of Archimedes, Syracusia, On Sphere-Making. Excerpt: Archimedes of Syracuse (Greek: c. 287 BC - c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water and setting ships on fire using an array of mirrors. Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of pi. He also defined the spiral bearing his name, formulae for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers. Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere inscribed within a cylinder. Archimedes had proven that the sphere has two thirds of the volume and surface area of the cylinder (including the...

The World Of Mathematics

Author: James Roy Newman
Publisher: Courier Corporation
ISBN: 9780486411538
Size: 29.18 MB
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Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (

Mathematics Manuscripts

Author: Books, LLC
Publisher: Books LLC, Wiki Series
ISBN: 9781157573906
Size: 40.19 MB
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 45. Chapters: Ancient Greek mathematical works, Mathematical works of the Islamic Golden Age, Archimedes Palimpsest, Euclid's Elements, The Sand Reckoner, Book of Optics, Ostomachion, Egyptian multiplication and division, Rhind Mathematical Papyrus, On Sizes and Distances, Plimpton 322, Egyptian Mathematical Leather Roll, Yuktibh, Principles of Hindu Reckoning, Surya Siddhanta, The Compendious Book on Calculation by Completion and Balancing, Red auxiliary number, Book of Lemmas, The Nine Chapters on the Mathematical Art, The Quadrature of the Parabola, Lahun Mathematical Papyri, Rhind Mathematical Papyrus 2/n table, Euclid's Optics, Propositiones ad Acuendos Juvenes, Book on Numbers and Computation, Bakhshali manuscript, C. M. Whish, Measurement of a Circle, De divina proportione, On Spirals, Felix Klein Protocols, Br?hmasphu?asiddh?nta, On the Sphere and Cylinder, The Mathematical Classic of Sun Zi, Arithmetica, Mathematical Treatise in Nine Sections, The Ten Computational Canons, Kahun Papyri, De Gradibus, Romaka Siddhanta, Hauksb k, Planisphaerium, Data. Excerpt: The Book of Optics (Arabic: ? ( ); Persian: ( ); Latin: De Aspectibus or Opticae Thesaurus: Alhazeni Arabis; Italian: Deli Aspecti) is a seven-volume treatise on optics and other fields of study composed by the medieval Muslim scholar Alhazen (965- c. 1040 AD). Euclid's Elements (Greek: Stoicheia) is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The thirteen books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as...

Archimedes And The Fulcrum

Author: Paul Strathern
Publisher: Random House
ISBN: 1448106478
Size: 45.44 MB
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At a moment of great discovery, one Big Idea can change the world... The greatest mathematician of his time, Archimedes transformed the development of early maths. But it is his revolutionary insights into mechanical science for which he is so revered, inventing the fulcrum and lever, pulley and water pump, among other technological advances that changed the course of history. Archimedes & the Fulcrum is a captivating and easily digestible investigation into the legendary life and work of the greatest mathematical mind the world had seen, up until his tragic death at the hands of the Romans. Single-handedly launching a 4,000 ton ship, calculating volumes and perfect spirals, laying the foundations of theoretical physics and inventing military weaponry as a seventy-year-old, Archimedes' Big Idea was so much more than his famed leap from his bath, shouting 'Eureka!' The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.