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The Universe Of Conics

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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.

The Universe Of Conics

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Author : Georg Glaeser
language : en
Publisher: Springer
Release Date : 2016-03-22

The Universe Of Conics written by Georg Glaeser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-22 with Mathematics categories.

Geometri Eskie Svojstva Krivyh Vtorogo Por Dka

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Author : Arseny V. Akopyan
language : en
Publisher: American Mathematical Soc.
Release Date :

Geometri Eskie Svojstva Krivyh Vtorogo Por Dka written by Arseny V. Akopyan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

Conics

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Author : Keith Kendig
language : en
Publisher: American Mathematical Society
Release Date : 2020-07-29

Conics written by Keith Kendig and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Mathematics categories.

This book engages the reader in a journey of discovery through a spirited discussion among three characters: philosopher, teacher, and student. Throughout the book, philosopher pursues his dream of a unified theory of conics, where exceptions are banished. With a helpful teacher and example-hungry student, the trio soon finds that conics reveal much of their beauty when viewed over the complex numbers. It is profusely illustrated with pictures, worked-out examples, and a CD containing 36 applets. Conics is written in an easy, conversational style, and many historical tidbits and other points of interest are scattered throughout the text. Many students can self-study the book without outside help. This book is ideal for anyone having a little exposure to linear algebra and complex numbers.

Practical Conic Sections

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Author : J. W. Downs
language : en
Publisher: Courier Corporation
Release Date : 2012-10-16

Practical Conic Sections written by J. W. Downs and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-16 with Mathematics categories.

Using examples from everyday life, this text studies ellipses, parabolas, and hyperbolas. Explores their ancient origins and describes the reflective properties and roles of curves in design applications. 1993 edition. Includes 98 figures.

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.

Modern Geometry With Applications

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Author : George A. Jennings
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-06-12

Modern Geometry With Applications written by George A. Jennings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-12 with Mathematics categories.

This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.

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.

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.

Numerical Optimization

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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Numerical Optimization written by Udayan Bhattacharya and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.

"Numerical Optimization: Theories and Applications" is a comprehensive guide that delves into the fundamental principles, advanced techniques, and practical applications of numerical optimization. We provide a systematic introduction to optimization theory, algorithmic methods, and real-world applications, making it an essential resource for students, researchers, and practitioners in optimization and related disciplines. We begin with an in-depth exploration of foundational concepts in optimization, covering topics such as convex and non-convex optimization, gradient-based methods, and optimization algorithms. Building upon these basics, we delve into advanced optimization techniques, including metaheuristic algorithms, evolutionary strategies, and stochastic optimization methods, providing readers with a comprehensive understanding of state-of-the-art optimization methods. Practical applications of optimization are highlighted throughout the book, with case studies and examples drawn from various domains such as machine learning, engineering design, financial portfolio optimization, and more. These applications demonstrate how optimization techniques can effectively solve complex real-world problems. Recognizing the importance of ethical considerations, we address issues such as fairness, transparency, privacy, and societal impact, guiding readers on responsibly navigating these considerations in their optimization projects. We discuss computational challenges in optimization, such as high dimensionality, non-convexity, and scalability issues, and provide strategies for overcoming these challenges through algorithmic innovations, parallel computing, and optimization software. Additionally, we provide a comprehensive overview of optimization software and libraries, including MATLAB Optimization Toolbox, Python libraries like SciPy and CVXPY, and emerging optimization frameworks, equipping readers with the tools and resources needed to implement optimization algorithms in practice. Lastly, we explore emerging trends, future directions, and challenges in optimization, offering insights into the evolving landscape of optimization research and opportunities for future exploration.

The Universe Of Conics

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