Download or read book Geometry In Our Three dimensional World written by Alfred S Posamentier and published by World Scientific. This book was released on 2021-11-24 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics — from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses — this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives.The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations.
Download or read book The Father of Geometry written by Paul W. Hightower and published by Enslow Publishing, LLC. This book was released on 2010-07-01 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A biography of ancient Greek mathematician Euclid, known as the father of geometry and author of the mathematics textbook Elements"--Provided by publisher.
Download or read book Geometry Relativity and the Fourth Dimension written by Rudolf Rucker and published by Courier Corporation. This book was released on 2012-06-08 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exposition of fourth dimension, concepts of relativity as Flatland characters continue adventures. Topics include curved space time as a higher dimension, special relativity, and shape of space-time. Includes 141 illustrations.
Download or read book Shapes in Our World written by Moira Anderson and published by Teacher Created Materials. This book was released on 2008-10-10 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identify three-dimensional shapes all around the world! This vibrant title gives readers practice identifying familiar shapes like cones, cylinders, pentagons, polygons, and prisms, while familiarizing them with STEM themes and more advanced geometry concepts. Children will learn more about vertices, symmetry, and bases. With each shape, this book gives readers information about an example of the shape, be it a building, a honeycomb, or a tree trunk! With an accessible glossary, clear mathematical diagrams, practical examples, and easy-to-read text, readers will have all the tools they need to improve their geometry skills and find shapes on their own!
Download or read book Fundamentals of Three Dimensional Descriptive Geometry written by Steve M. Slaby and published by John Wiley & Sons. This book was released on 1976-09-16 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete overview of the fundamentals of three-dimensional descriptive geometry From an overview of the history of descriptive geometry to the application of the principles of descriptive geometry to real-world scenarios, Fundamentals of Three-Dimensional Descriptive Geometry provides a comprehensive look at the topic. Used throughout the disciplines of science, engineering, and architecture, descriptive geometry is crucial for everything from understanding the various segments and inter-workings of structural systems to grasping the relationship of molecules in a chemical compound. For those requiring a full accounting of the fundamentals of three-dimensional descriptive geometry, this text is a definitive and comprehensive resource.
Download or read book Analytical Geometry of Three Dimensions written by William H. McCrea and published by Courier Corporation. This book was released on 2012-01-27 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward advanced undergraduates and graduate students, this text covers the coordinate system, planes and lines, spheres, homogeneous coordinates, general equations, quadric in Cartesian coordinates, and intersection of quadrics. 1947 edition.
Download or read book Making Geometry written by Jon Allen and published by . This book was released on 2012 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professional guide to making three-dimensional models of all the Platonic and Archimedian solids in step-by-step instructions.
Download or read book Three dimensional Computer Vision written by Olivier Faugeras and published by MIT Press. This book was released on 1993 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph by one of the world's leading vision researchers provides a thorough, mathematically rigorous exposition of a broad and vital area in computer vision: the problems and techniques related to three-dimensional (stereo) vision and motion. The emphasis is on using geometry to solve problems in stereo and motion, with examples from navigation and object recognition. Faugeras takes up such important problems in computer vision as projective geometry, camera calibration, edge detection, stereo vision (with many examples on real images), different kinds of representations and transformations (especially 3-D rotations), uncertainty and methods of addressing it, and object representation and recognition. His theoretical account is illustrated with the results of actual working programs.Three-Dimensional Computer Vision proposes solutions to problems arising from a specific robotics scenario in which a system must perceive and act. Moving about an unknown environment, the system has to avoid static and mobile obstacles, build models of objects and places in order to be able to recognize and locate them, and characterize its own motion and that of moving objects, by providing descriptions of the corresponding three-dimensional motions. The ideas generated, however, can be used indifferent settings, resulting in a general book on computer vision that reveals the fascinating relationship of three-dimensional geometry and the imaging process.
Download or read book Euclid s Heritage Is Space Three Dimensional written by P. Janich and published by Springer Science & Business Media. This book was released on 1992-11-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three spatial characteristics of length, height and depth are used in the same unreflective way by laymen, technicians and scientists alike to describe the forms, positions and measure of bodies and hollow bodies. But how do we know that the space we live in has just these three dimensions? The question has occupied philosophers and scientists since antiquity. The answers proposed have become ever more presumptuous and have increasingly lost sight of everyday intuitions and have sacrificed explanatory power. In Euclid's Heritage Janich shows that all explanations of three-dimensionality hinge on an unreflective geometrical language which seems to accept the lack of an alternative for the three sorts of entities -- points, lines and planes -- that bound the three extended entities -- lines, planes and solids. This is a Euclidean heritage in a dual sense: Euclid himself adopted a geometrical language from the art of figure drawing, and left a tradition of doing geometry as planimetry and of doing stereometry by rotating plane figures. The systematic approach offered here starts out from operational definitions of the spatial forms -- plane, straight edge and perpendicularity -- and proofs that only three planes can intersect pairwise orthogonally. This is the constructive solution in the frame theory of action, providing an unequivocal characterisation of spatial relations in the physical world. The traditional order of geometric concepts turns out to be the most important obstacle to the methodical ordering of everyday scientific concepts.
Download or read book The Fourth Dimension written by Rudy von Bitter Rucker and published by Houghton Mifflin Harcourt. This book was released on 1985 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed description of what the fourth dimension would be like.
Download or read book The Shape of Space written by Jeffrey R. Weeks and published by CRC Press. This book was released on 2001-12-12 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Download or read book Elements of the geometry and topology of minimal surfaces in three dimensional space written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 2005 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of lectures presented to students of mathematics, physics, and mechanics by A. T. Fomenko at Moscow University, under the auspices of the Moscow Mathematical Society. The book describes modern and visual aspects of the theory of minimal, two-dimensional surfaces in three-dimensional space. The main topics covered are: topological properties of minimal surfaces, stable and unstable minimal films, classical examples, the Morse-Smale index of minimal two-surfaces in Euclidean space, and minimal films in Lobachevskian space. Requiring only a standard first-year calculus and elementary notions of geometry, this book brings the reader rapidly into this fascinating branch of modern geometry.
Download or read book Three dimensional Geometry and Topology written by William P. Thurston and published by Princeton University Press. This book was released on 1997 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.
Download or read book Quarks Leptons and The Big Bang Second Edition written by Jonathan Allday and published by CRC Press. This book was released on 2001-01-01 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quarks, Leptons and The Big Bang is a clear, readable and self-contained introduction to particle physics and related areas of cosmology. It bridges the gap between non-technical popular accounts and textbooks for advanced students. The book concentrates on presenting the subject from the modern perspective of quarks, leptons and the forces between them. This book will be of interest to students, teachers and general science readers interested in fundamental ideas of modern physics.
Download or read book Unified Field Mechanics II Formulations and Empirical Tests written by Amoroso Richard L and published by World Scientific. This book was released on 2018-01-03 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, recording the 10th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier surveys and continues to develop Unified Field Mechanics (UFM) from the perspective of Multiverse cosmology and Topological Field Theory. UFM represents a developing paradigm shift with many new parameters extending the Standard Model to a 3rd regime of Natural Science beyond Quantum Mechanics. UFM is now experimentally testable, thus putatively able to demonstrate the existence of large-scale additional dimensionality (LSXD), test for QED violating phenomena and surmount the quantum uncertainty principle leading to a new 'Age of Discovery' paling all prior ages in the historical progression: Classical Mechanics (3D) to Quantum Mechanics (4D) and now to the birth of the 3rd regime of UFM in additional dimensionality correlating with M-Theory. Many still consider the Planck-scale as the 'basement of reality'. This could only be considered true under the limitations of the Standard Model. As we methodically enter the new regime a profound understanding of the multiverse and additional dimensionality beckons.
Download or read book 3D Math Primer for Graphics and Game Development 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Download or read book A Holistic Story of Space and Time written by David Pearcey and published by Troubador Publishing Ltd. This book was released on 2023-06-28 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever wondered how the space and time of our everyday lives works - and why? David Pearcey is here to help, with A Holistic Story of Space and Time, a thorough exploration through our world of space and time. Explaining how space and time works as a complete system, the book is helped by brief accounts of the contributions of some of the great scientists and philosophers who helped us understand its components. Intended for the general reader who has no previous technical understanding, A Holistic Story of Space and Time delves into several areas - the types of geometries of space, the motion of matter in space, and how the force fields of matter pervade space, as well as how we perceive space and time by treating the brain as an information management system. It shows how the process of perception allows us to determine the true nature of the geometry of the space and time of the real world. Much more is also looked into in detail such as Einstein's special and general theories of relativity including his unified field theory, electromagnetism, and quantum physics, including charts and diagrams to explain some of the concepts involved. The final part of the book investigates the relationship between us who perceive the real world and the space and time of the real world, using the ideas developed by the philosophers Kant and Schopenhauer. This all combines to give the reader a uniquely broad look into our world and explains how it works as a total entity, from the cosmic world of the curved geometry of general relativity to the mysterious quantum world and then the philosophical aspects of how we are part of it. Anyone with an interest in the way things work will be well-suited to this extraordinary book that answers the why as well as the what and how.
