Six Gems Of Geometry

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Six Gems Of Geometry
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Author : Thomas Reale
language : en
Publisher: PSIpress
Release Date : 2010-05-26
Six Gems Of Geometry written by Thomas Reale and has been published by PSIpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-26 with Mathematics categories.
Six gems of geometry is an introductory geometry textbook for general audiences. The book focuses mainly on the teachings of Euclid. It contains a story inspired by William Blake's painting, Newton the Measurer, where an encounter is imagined between Euclid and Newton, suggesting a deep influence the former may have had on the latter.
Geometric Gems
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Author : Cathy Wierzbicki
language : en
Publisher: Martingale
Release Date : 2010-03-02
Geometric Gems written by Cathy Wierzbicki and has been published by Martingale this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-02 with Crafts & Hobbies categories.
Rich with color and design, every quilt in this book is a treasure! By making clever use of angles, popular author Cathy Wierzbicki presents intriguing projects that look far more complex than they really are. Choose from seven dazzling designs using easy cutting and strip-piecing techniques. Some quilts--such as the beautiful "Pajama Prayer"--feature a free-motion embroidery technique for adding words and sayings.
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2024-03-07
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-07 with Mathematics categories.
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Systems Patterns And Data Engineering With Geometric Calculi
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Author : Sebastià Xambó-Descamps
language : en
Publisher: Springer Nature
Release Date : 2021-07-16
Systems Patterns And Data Engineering With Geometric Calculi written by Sebastià Xambó-Descamps and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-16 with Mathematics categories.
The intention of this collection agrees with the purposes of the homonymous mini-symposium (MS) at ICIAM-2019, which were to overview the essentials of geometric calculus (GC) formalism, to report on state-of-the-art applications showcasing its advantages and to explore the bearing of GC in novel approaches to deep learning. The first three contributions, which correspond to lectures at the MS, offer perspectives on recent advances in the application GC in the areas of robotics, molecular geometry, and medical imaging. The next three, especially invited, hone the expressiveness of GC in orientation measurements under different metrics, the treatment of contact elements, and the investigation of efficient computational methodologies. The last two, which also correspond to lectures at the MS, deal with two aspects of deep learning: a presentation of a concrete quaternionic convolutional neural network layer for image classification that features contrast invariance and a general overview of automatic learning aimed at steering the development of neural networks whose units process elements of a suitable algebra, such as a geometric algebra. The book fits, broadly speaking, within the realm of mathematical engineering, and consequently, it is intended for a wide spectrum of research profiles. In particular, it should bring inspiration and guidance to those looking for materials and problems that bridge GC with applications of great current interest, including the auspicious field of GC-based deep neural networks.
Graphics Gems
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Author : Paul S. Heckbert
language : en
Publisher: Elsevier
Release Date : 2013-11-06
Graphics Gems written by Paul S. Heckbert and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-06 with Computers categories.
Graphics Gems IV contains practical techniques for 2D and 3D modeling, animation, rendering, and image processing. The book presents articles on polygons and polyhedral; a mix of formulas, optimized algorithms, and tutorial information on the geometry of 2D, 3D, and n-D space; transformations; and parametric curves and surfaces. The text also includes articles on ray tracing; shading 3D models; and frame buffer techniques. Articles on image processing; algorithms for graphical layout; basic interpolation methods; and subroutine libraries for vector and matrix algebra are also demonstrated. Computer engineers and designers will find the book invaluable.
A Geometric Algebra Invitation To Space Time Physics Robotics And Molecular Geometry
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Author : Carlile Lavor
language : en
Publisher: Springer
Release Date : 2018-07-12
A Geometric Algebra Invitation To Space Time Physics Robotics And Molecular Geometry written by Carlile Lavor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-12 with Mathematics categories.
This book offers a gentle introduction to key elements of Geometric Algebra, along with their applications in Physics, Robotics and Molecular Geometry. Major applications covered are the physics of space-time, including Maxwell electromagnetism and the Dirac equation; robotics, including formulations for the forward and inverse kinematics and an overview of the singularity problem for serial robots; and molecular geometry, with 3D-protein structure calculations using NMR data. The book is primarily intended for graduate students and advanced undergraduates in related fields, but can also benefit professionals in search of a pedagogical presentation of these subjects.
Graphics Gems Iv Ibm Version
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Author : Paul Heckbert
language : en
Publisher: Elsevier
Release Date : 1994-06-17
Graphics Gems Iv Ibm Version written by Paul Heckbert and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-06-17 with Computers categories.
Graphics Gems IV is the newest volume in the Graphics Gems series. All of the books in the series contain practical solutions for graphics problems using the latest techniques in the field. The books in this series have become essential, time saving toolsfor many programmers. Volume IV is a collection of carefully crafted gems which are all new and innovative. All of the gems are immediately accessible and useful in formulating clean, fast, and elegant programs. The C programming language has been used for most of the program listings, although several of the gems have C++ implementations. *IBM version Includes one 3 1/2" high-density disk. System Requirements: 286 or higher IBM PC compatible, DOS 4.0 or higher
Sacred Geometry
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Author : Stephen Skinner
language : en
Publisher: Sterling Publishing Company, Inc.
Release Date : 2009
Sacred Geometry written by Stephen Skinner and has been published by Sterling Publishing Company, Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world. The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.
Graphics Gems Ii
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Author : James Arvo
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Graphics Gems Ii written by James Arvo and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Computers categories.
Graphics Gems II is a collection of articles shared by a diverse group of people that reflect ideas and approaches in graphics programming which can benefit other computer graphics programmers. This volume presents techniques for doing well-known graphics operations faster or easier. The book contains chapters devoted to topics on two-dimensional and three-dimensional geometry and algorithms, image processing, frame buffer techniques, and ray tracing techniques. The radiosity approach, matrix techniques, and numerical and programming techniques are likewise discussed. Graphics artists and computer programmers will find the book invaluable.
The Wise Master Builder Platonic Geometry In Plans Of Medieval Abbeys And Cathederals
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Author : Nigel Hiscock
language : en
Publisher: Routledge
Release Date : 2018-05-08
The Wise Master Builder Platonic Geometry In Plans Of Medieval Abbeys And Cathederals written by Nigel Hiscock and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-08 with Social Science categories.
This title was first published in 2000: Did the plan of medieval churches have any underlying symbolic meaning? This work re-opens the debate about the importance of geometry and symbolism in medieval architectural design and argues the case for attributing an intellectual meaning to the planning of abbeys and cathedrals. In challenging prevailing claims for the use of arithmetical rations in architectural design, notably those based on the square root of two, Dr Hiscock advances a perspective consisting of proportions derived from the figures of Platonic geometry - the square, the equilateral triangle and the pentagon - and provides evidence for the symbolic interpretation of these figures. The investigation further reveals whole series of geometric relationships between some of England's most celebrated Norman cathedrals, such as Norwich or Durham, together with a wide sample from the Continent, from Old St Peter's in Rome to Chartres Cathedral, and sets out a comprehensive design method in each case. Hiscock first demonstrates the proposition that the ideas of Christian Platonism, including number and geometry, remained current and were employed in the thought of the early Middle Ages. In particular, he argues that they can be associated with the leading persons in the 10th-century revival of monasticism and that they found expression in the "white mantle of churches" that spread across Western Europe at the end of the first millennium AD. The book then provides a detailed analysis of the geometric proportions of church plans between the 9th and 12th centuries in Germany, France and in England. This research seeks to demonstrate that a coherent sequence of geometric forms can be seen in thse plans, forms which correspond to the key figures of Platonic geometry as understood in the context of Christian Platonist thought. In conclusion, the author shows how the system of design proposed could be set out on site using the known working methods of medieval masons.