The Universe Of Quadrics

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The Universe Of Quadrics

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Author : Boris Odehnal
language : en
Publisher: Springer Nature
Release Date : 2020-04-21

The Universe Of Quadrics written by Boris Odehnal and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-21 with Mathematics categories.

The Universe of Quadrics This text presents the theory of quadrics in a modern form. It builds on the previously published book "The Universe of Conics", including many novel results that are not easily accessible elsewhere. As in the conics book, the approach combines synthetic and analytic methods to derive projective, affine, and metrical properties, covering both Euclidean and non-Euclidean geometries. While the history of conics is more than two thousand years old, the theory of quadrics began to develop approximately three hundred years ago. Quadrics play a fundamental role in numerous fields of mathematics and physics, their applications ranging from mechanical engineering, architecture, astronomy, and design to computer graphics. This text will be invaluable to undergraduate and graduate mathematics students, those in adjacent fields of study, and anyone with a deeper interest in geometry. Complemented with about three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

The Universe Of Conics

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Author : Georg Glaeser
language : en
Publisher: Springer Nature
Release Date : 2024-12-28

The Universe Of Conics written by Georg Glaeser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-28 with Mathematics categories.

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Icgg 2022 Proceedings Of The 20th International Conference On Geometry And Graphics

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Author : Liang-Yee Cheng
language : en
Publisher: Springer Nature
Release Date : 2022-08-12

Icgg 2022 Proceedings Of The 20th International Conference On Geometry And Graphics written by Liang-Yee Cheng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-12 with Technology & Engineering categories.

This book covers recent achievements on the ever-expanding field of Geometry and Graphics on both analogical and digital fronts, from theoretical investigations to a broad range of applications, new teaching methodologies, and historical aspects. It is from 20th International Conference on Geometry and Graphics (ICGG2022), a series of conference that started in 1978 and promoted by International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching innovations in the multidisciplinary field. The contents of the book are organized in: Theoretical Geometry and Graphics; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, and are intent for the academics, researchers, and professionals in architecture, engineering, industrial design, mathematics, and arts.

Mus Mathematimus Hyperelliptical Geometry

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Author : Stenio Musich
language : en
Publisher: Stenio Musich
Release Date : 2024-03-25

Mus Mathematimus Hyperelliptical Geometry written by Stenio Musich and has been published by Stenio Musich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-25 with Mathematics categories.

M.U.S. (Mathematical Uniform Space) is a new number of π (pi), representing the reality of the Universe in which we live. With this number, we created a new geometry, Hyperelliptical Geometry, which will provide the unification of physics, thus uniting the Theory of Relativity and Quantum Theory. A new geometry for a new Mathematics and a new Physics. (ISBN 978-65-00-98107-0).

Icgg 2020 Proceedings Of The 19th International Conference On Geometry And Graphics

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Author : Liang-Yee Cheng
language : en
Publisher: Springer Nature
Release Date : 2020-12-01

Icgg 2020 Proceedings Of The 19th International Conference On Geometry And Graphics written by Liang-Yee Cheng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-01 with Technology & Engineering categories.

This book covers various aspects of Geometry and Graphics, from recent achievements on theoretical researches to a wide range of innovative applications, as well as new teaching methodologies and experiences, and reinterpretations and findings about the masterpieces of the past. It is from the 19th International Conference on Geometry and Graphics, which was held in São Paulo, Brazil. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. Organized five topics, which are Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education and Geometry; Graphics in History, the book is intended for the professionals, academics and researchers in architecture, engineering, industrial design, mathematics and arts involved in the multidisciplinary field.

The Best Writing On Mathematics 2020

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Author : Mircea Pitici
language : en
Publisher: Princeton University Press
Release Date : 2020-11-24

The Best Writing On Mathematics 2020 written by Mircea Pitici and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-24 with Mathematics categories.

The year's finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2020 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday aspects of math, and take readers behind the scenes of today’s hottest mathematical debates. Here, Steven Strogatz reveals how calculus drives advances in virology, Paul Thagard argues that the power of mathematics stems from its combination of realistic and fictional qualities, and Erica Klarreich describes how Hao Huang used the combinatorics of cube nodes to solve a longstanding problem in computer science. In other essays, John Baez tells how he discovered the irresistible attractions of algebraic geometry, Mark Colyvan compares the radically different explanatory practices of mathematics and science, and Boris Odehnal reviews some surprising properties of multidimensional geometries. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Icgg 2024 Proceedings Of The 21st International Conference On Geometry And Graphics

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Author : Kazuki Takenouchi
language : en
Publisher: Springer Nature
Release Date : 2024-09-26

Icgg 2024 Proceedings Of The 21st International Conference On Geometry And Graphics written by Kazuki Takenouchi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-26 with Mathematics categories.

This three-volume book gathers peer-reviewed papers presented at the 21st International Conference on Geometry and Graphics (ICGG 2024), held in Kitakyushu, Japan, on August 5–9, 2024. The conference started in 1978 and is promoted by the International Society for Geometry and Graphics, which aims to foster international collaboration and stimulate the scientific research and teaching methodology in the fields of Geometry and Graphics. The ICGG 2024 covered the following five topics taken over from ICGG 2022: Theoretical Graphics and Geometry; Applied Geometry and Graphics; Engineering Computer Graphics; Graphics Education; Geometry and Graphics in History, to which a Related Topic section was added in response to the growing body of research on Geometry and Graphics. Volume 1 collects papers on three of these topics: Theoretical Graphics and Geometry, Graphics Education, and Related Topics. Given its breadth of coverage, the book introduces engineers, architects, and designers interested in computer applications, graphics, and geometry to the latest advances in the field, with a particular focus on science, the arts, and mathematics education.

Dimension Reduced Modeling Of Blood Flow In Large Arteries

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Author : Tobias Köppl
language : en
Publisher: Springer Nature
Release Date : 2023-07-15

Dimension Reduced Modeling Of Blood Flow In Large Arteries written by Tobias Köppl and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-15 with Technology & Engineering categories.

This monograph contains an in-depth and coherent treatment of dimension-reduced modeling of blood flows on the level of large vessels (macrocirculation). The authors reduce the complexity by combining a one-dimensional Navier-Stokes equation and a simplified FSI-concept. The influence of omitted vessels, which are subsequent to the outlets of larger vessels, is accounted for by systems of ordinary differential equations (0D models). The target audience primarily comprises research experts in the field of biomedical engineering, but the book may also be beneficial for graduate students alike.

Geometry And Its Applications In Arts Nature And Technology

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Author : Georg Glaeser
language : en
Publisher: Springer Nature
Release Date : 2020-12-18

Geometry And Its Applications In Arts Nature And Technology written by Georg Glaeser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Mathematics categories.

This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

Icgg 2018 Proceedings Of The 18th International Conference On Geometry And Graphics

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Author : Luigi Cocchiarella
language : en
Publisher: Springer
Release Date : 2018-07-06

Icgg 2018 Proceedings Of The 18th International Conference On Geometry And Graphics written by Luigi Cocchiarella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-06 with Technology & Engineering categories.

This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.