Download or read book Geometry The Line and the Circle written by Maureen T. Carroll and published by American Mathematical Soc.. This book was released on 2018-12-20 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Download or read book Modern Geometry written by Clement Vavasor Durell and published by . This book was released on 1920 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Inductive Manual of the Straight Line and the Circle written by William John Meyers and published by . This book was released on 1894 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Three Lines in a Circle written by Michael G. Long and published by Presbyterian Publishing Corp. This book was released on 2021-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One line straight down. One line to the right. One line to the left, then a circle. That was all—just three lines in a circle. This bold picture book tells the story of the peace symbol—designed in 1958 by a London activist protesting nuclear weapons—and how it inspired people all over the world. Depicting the symbol's travels from peace marches and liberation movements to the end of apartheid and the fall of the Berlin Wall, Three Lines in a Circle offers a message of inspiration to today's children and adults who are working to create social change. An author’s note provides historical background and a time line of late twentieth-century peace movements.
Download or read book A Treatise on the Circle and the Sphere written by Julian Lowell Coolidge and published by . This book was released on 1916 with total page 603 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elementary Geometry from an Advanced Standpoint written by Edwin E. Moise and published by Addison Wesley. This book was released on 1990 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.
Download or read book The Sight Size Cast written by Darren Rousar and published by Velatura Press, LLC. This book was released on 2018-10-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within The Sight-Size Cast is everything you ever wanted to know about Sight-Size cast drawing and painting, impressionistic seeing, and the ways in which many of the ateliers that stem from R. H. Ives Gammell and Richard Lack teach their students. You can learn how to see through Sight-Size with Darren Rousar's book, The Sight-Size Cast.
Download or read book Euclid s Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Download or read book How to Draw a Straight Line written by Alfred Bray Kempe and published by . This book was released on 1877 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Round Is Your Circle written by John Bryant and published by Princeton University Press. This book was released on 2011-02-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.
Download or read book Algebraic Geometry a New Treatise on Analytical Conic Sections The straight line and the circle written by William Meath Baker and published by . This book was released on 1908 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ibn al Haytham s Geometrical Methods and the Philosophy of Mathematics written by Roshdi Rashed and published by Routledge. This book was released on 2017-07-20 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc. This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī: The circle, its transformations and its properties; Analysis and synthesis: the founding of analytical art; A new mathematical discipline: the Knowns; The geometrisation of place; Analysis and synthesis: examples of the geometry of triangles; Axiomatic method and invention: Thābit ibn Qurra; The idea of an Ars Inveniendi: al-Sijzī. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.
Download or read book Ibn al Haytham New Astronomy and Spherical Geometry written by Roshdi Rashed and published by Routledge. This book was released on 2020-10-12 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The fourth volume of A History of Arabic Sciences and Mathematics is complemented by three preceding volumes which focused on infinitesimal determinations and other chapters of classical mathematics. This book includes five main works of the polymath Ibn al-Haytham (Alhazen) on astronomy, spherical geometry and trigonometry, plane trigonometry and studies of astronomical instruments on hour lines, horizontal sundials and compasses for great circles. In particular, volume four examines: the increasing tendency to mathematize the inherited astronomy from Greek sources, namely Ptolemy's Almagest; the development of celestial kinematics; new research in spherical geometry and trigonometry required by the new kinematical theory; the study on astronomical instruments and its impact on mathematical research. These new historical materials and their mathematical and historical commentaries contribute to rewriting the history of mathematical astronomy and mathematics from the 11th century on. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.
Download or read book Founding Figures and Commentators in Arabic Mathematics written by Roshdi Rashed and published by Taylor & Francis. This book was released on 2013-03-07 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries ‘School of Baghdad’ - such as the Banū Mūsā, Thābit ibn Qurra, Ibrāhīm ibn Sinān, Abū Ja ́far al-Khāzin, Abū Sahl Wayjan ibn Rustām al-Qūhī - and eleventh-century Andalusian mathematicians like Abū al-Qāsim ibn al-Samh, and al-Mu’taman ibn Hūd. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of ‘infinitesimal mathematics’ as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham (‘Alhazen’). Contributing to a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context, this fundamental text will appeal to historians of ideas, epistemologists, mathematicians at the most advanced levels of research.
Download or read book Nature written by and published by . This book was released on 1877 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Deep Words written by Baien Miura and published by BRILL. This book was released on 1991-01-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Deep Words" contains translations of "Honso," the "Core Text" of "Gengo," by Miura Baien, 1723-1789 - a widely renowned Japanese teacher and writer of his time; "Genkiron," an early draft of "Gengo"; and "Reply to Taga," an exposition of "Honso,"
Download or read book Mathematical Principles of the Internet Two Volume Set written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2019-03-18 with total page 1773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, these cover only a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
