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 480 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 Computational Line Geometry written by Helmut Pottmann and published by Springer Science & Business Media. This book was released on 2009-12-16 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews
Download or read book Lines and Curves written by Victor Gutenmacher and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Broad appeal to undergraduate teachers, students, and engineers; Concise descriptions of properties of basic planar curves from different perspectives; useful handbook for software engineers; A special chapter---"Geometry on the Web"---will further enhance the usefulness of this book as an informal tutorial resource.; Good mathematical notation, descriptions of properties of lines and curves, and the illustration of geometric concepts facilitate the design of computer graphics tools and computer animation.; Video game designers, for example, will find a clear discussion and illustration of hard-to-understand trajectory design concepts.; Good supplementary text for geometry courses at the undergraduate and advanced high school levels
Download or read book Chapters on the Modern Geometry of the Point Line and Circle written by Richard Townsend and published by . This book was released on 1863 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Elementary Geometry of the Right Line and Circle written by William A. Willock and published by BoD – Books on Demand. This book was released on 2023-11-18 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
Download or read book Chapters on the Modern Geometry of the Point Line and Circle being the substance of lectures delivered in the University of Dublin to the candidates for honours of the first year in arts written by Richard TOWNSEND (Fellow of Trinity College, Dublin.) and published by . This book was released on 1863 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Critical Thinking Activities Geometry Points Lines and Patterns written by Sylvia J. Connolly and published by Teacher Created Materials. This book was released on 2014-02-01 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sharpen geometry students' critical-thinking skills with brain-teasing activities. Parents, students, and teachers will love these fun challenges, puzzles, and logical thinking pages. They're a great way to practice higher-order thinking skills.
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 Positivity in Algebraic Geometry I written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Download or read book Geometrical Analysis and Geometry of Curve Lines Being Volume Second of a Course of Mathematics Etc written by Sir John Leslie and published by . This book was released on 1821 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plane Geometry written by Herbert Ellsworth Slaught and published by . This book was released on 1918 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Schultze and Sevenoak s Plane Geometry written by Arthur Schultze and published by . This book was released on 1913 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid written by Shoo Rayner and published by . This book was released on 2017-11-02 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry is brought to life as Euclid explains principles of Geometry to his friends. With jokes and lots of illustrations, discover the beauty of geometry and, before you know it, you too will soon be a friend of Euclid! Shoo Rayner adds humour and simplicity to a tricky subject. A perfect introduction.
Download or read book The Elements of Plane and Solid Geometry written by Edward Albert Bowser and published by . This book was released on 1891 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Elements of Descriptive Geometry written by George Frederick Blessing and published by . This book was released on 1912 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry of Curve Lines written by Sir John Leslie and published by . This book was released on 1813 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Computational Geometry written by Ioannis Z. Emiris and published by Springer Science & Business Media. This book was released on 2009-10-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: An original motivation for algebraic geometry was to understand curves and surfaces in three dimensions. Recent theoretical and technological advances in areas such as robotics, computer vision, computer-aided geometric design and molecular biology, together with the increased availability of computational resources, have brought these original questions once more into the forefront of research. One particular challenge is to combine applicable methods from algebraic geometry with proven techniques from piecewise-linear computational geometry (such as Voronoi diagrams and hyperplane arrangements) to develop tools for treating curved objects. These research efforts may be summarized under the term nonlinear computational geometry. This volume grew out of an IMA workshop on Nonlinear Computational Geometry in May/June 2007 (organized by I.Z. Emiris, R. Goldman, F. Sottile, T. Theobald) which gathered leading experts in this emerging field. The research and expository articles in the volume are intended to provide an overview of nonlinear computational geometry. Since the topic involves computational geometry, algebraic geometry, and geometric modeling, the volume has contributions from all of these areas. By addressing a broad range of issues from purely theoretical and algorithmic problems, to implementation and practical applications this volume conveys the spirit of the IMA workshop.
