Form Geometry Structure
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New Foundations For Physical Geometry
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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02
New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.
Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.
Form Geometry Structure
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Author : Daniela Bertol
language : en
Publisher:
Release Date : 2011
Form Geometry Structure written by Daniela Bertol and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Architectural design categories.
"Form Geometry Structure is an architecture and generative design guide that introduces a scientific framework in the exploration of forms in nature and design. From their geometric definition to their structural potential, forms are created and transformed by simple computing algorithms following growth patterns found in nature. In the natural world, these geometric forms can provide great inspiration in the design of the man-made world. Although software independent, this book presents several digital models of parametric forms built in Bentley's generative design software GenerativeComponents. While the relationship between geometry and forces in nature has been explored for millennia, contemporary computational tools bring new insights and methodologies. Form Geometry Structure is beautifully illustrated and rigorously researched and will bridge the gap between art and science, bringing to contemporary terms the tradition of the treatises on art and architecture." -- Publisher's site.
The Mathematical Structure Of Stable Physical Systems
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Author : Dr. Martin Concoyle & G.P. Coatmundi
language : en
Publisher: Trafford Publishing
Release Date : 2014
The Mathematical Structure Of Stable Physical Systems written by Dr. Martin Concoyle & G.P. Coatmundi and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.
Structure And Form In Design
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Author : Michael Hann
language : en
Publisher: A&C Black
Release Date : 2014-02-13
Structure And Form In Design written by Michael Hann and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-13 with Technology & Engineering categories.
This book provides a critical examination of structure and form in design, covering a range of topics of great value to students and practitioners engaged in any of the specialist decorative arts and design disciplines. The complexities of two-dimensional phenomena are explained and illustrated in detail, while various three-dimensional forms are also discussed. In the context of the decorative arts and design, structure is the underlying framework, and form the resultant, visible, two- or three-dimensional outcome of the creative process. Whether hidden or visually detectable in the final design, structure invariably determines whether or not a design is successful in terms of both its aesthetics and its practical performance. Hann successfully identifies various geometric concepts, and presents and discusses a number of simple guidelines to assist the creative endeavours of both accomplished and student practitioners, teachers and researchers.
Geometry Of Differential Forms
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Author : Shigeyuki Morita
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Geometry Of Differential Forms written by Shigeyuki Morita 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 2001 with Mathematics categories.
This work introduces the theory and practice of differential forms on manifolds and overviews the concept of differentiable manifolds, assuming a minimum of knowledge in linear algebra, calculus, and elementary topology. Chapters cover manifolds, differential forms, the de Rham theorem, Laplacian and harmonic forms, and vector and fiber bundles and characteristic classes. The text includes exercises and answers. First published in Japanese by Iwanami Shoten, Publishers, Tokyo, 1997, 1998. c. Book News Inc.
Partitioning A Many Dimensional Containment Space
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Author : Dr. Martin Concoyle
language : en
Publisher: Trafford Publishing
Release Date : 2014-01-16
Partitioning A Many Dimensional Containment Space written by Dr. Martin Concoyle and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-16 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
Hyperbolic Structures
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Author : Matthias Beckh
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-23
Hyperbolic Structures written by Matthias Beckh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-23 with Technology & Engineering categories.
Hyperbolic structures analyses the interactions of form with the structural behaviour of hyperbolic lattice towers, and the effects of the various influencing factors were determined with the help of parametric studies and load capacity analyses. This evaluation of Shukhov’s historical calculations and the reconstruction of the design and development process of his water towers shows why the Russian engineer is considered not only a pathfinder for lightweight structures but also a pioneer of parametrised design processes.
Fractal Architecture
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Author : James Harris
language : en
Publisher: UNM Press
Release Date : 2012-07-15
Fractal Architecture written by James Harris and has been published by UNM Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-15 with Architecture categories.
Throughout history, nature has served as an inspiration for architecture and designers have tried to incorporate the harmonies and patterns of nature into architectural form. Alberti, Charles Renee Macintosh, Frank Lloyd Wright, and Le Courbusier are just a few of the well- known figures who have taken this approach and written on this theme. With the development of fractal geometry--the study of intricate and interesting self- similar mathematical patterns--in the last part of the twentieth century, the quest to replicate nature's creative code took a stunning new turn. Using computers, it is now possible to model and create the organic, self-similar forms of nature in a way never previously realized. In Fractal Architecture, architect James Harris presents a definitive, lavishly illustrated guide that explains both the "how" and "why" of incorporating fractal geometry into architectural design.
Geometric Structures In Nonlinear Physics
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Author : Robert Hermann
language : en
Publisher: Math Science Press
Release Date : 1991
Geometric Structures In Nonlinear Physics written by Robert Hermann and has been published by Math Science Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.
Multivariate Calculus And Geometry Concepts
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Author : Chirag Verma
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Multivariate Calculus And Geometry Concepts written by Chirag Verma 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.
"Multivariate Calculus and Geometry Concepts" is a comprehensive textbook designed to provide students, researchers, and practitioners with a thorough understanding of fundamental concepts, techniques, and applications in multivariate calculus and geometry. Authored by experts, we offer a balanced blend of theoretical foundations, practical examples, and computational methods, making it suitable for both classroom instruction and self-study. We cover a wide range of topics, including partial derivatives, gradients, line and surface integrals, parametric equations, polar coordinates, conic sections, and differential forms. Each topic is presented clearly and concisely, with detailed explanations and illustrative examples to aid understanding. Our emphasis is on developing a conceptual understanding of key concepts and techniques, rather than rote memorization of formulas. We include numerous figures, diagrams, and geometric interpretations to help readers visualize abstract mathematical concepts and their real-world applications. Practical applications of multivariate calculus and geometry are highlighted throughout the book, with examples drawn from physics, engineering, computer graphics, and other fields. We demonstrate how these concepts are used to solve real-world problems and inspire readers to apply their knowledge in diverse areas. We discuss computational methods and numerical techniques used in multivariate calculus and geometry, such as numerical integration, optimization algorithms, and finite element methods. Programming exercises and computer simulations provide hands-on experience with implementing and applying these methods. Our supplementary resources include online tutorials, solution manuals, and interactive simulations, offering additional guidance, practice problems, and opportunities for further exploration and self-assessment. "Multivariate Calculus and Geometry Concepts" is suitable for undergraduate and graduate students in mathematics, engineering, physics, computer science, and related disciplines. It also serves as a valuable reference for researchers, educators, and professionals seeking a comprehensive overview of multivariate calculus and geometry and its applications in modern science and technology.