Structures: A Geometric Approach

Structures: A Geometric Approach PDF Author: Edmond Saliklis
Publisher: Springer
ISBN: 3319987461
Category : Technology & Engineering
Languages : en
Pages : 332

Book Description
Graphic methods for structural design essentially translate problems of algebra into geometric representations, allowing solutions to be reached using geometric construction (ie: drawing pictures) instead of tedious and error-prone arithmetic. This was the common method before the invention of calculators and computers, but had been largely abandoned in the last half century in favor of numerical techniques. However, in recent years the convenience and ease of graphic statics has made a comeback in architecture and engineering. Several professors have begun using graphic statics in the classroom.and.studio environment. But until now, there had been no guidebook that rapidly brings students up to speed on the fundamentals of how to create graphical solutions to statics problems.Graphic Statics introduces all of the traditional graphic statics techniques in a parametric drawing format, using the free program GeoGebra. Then, advanced topics such as indeterminate beams and three dimensional curved surfaces are be covered. Along the way, links to wider design ideas are introduced in a succinct summary of the steps needed to create elegant solutions to many staticequilibrium problems.Meant for students in civil and architectural engineering, architecture,and construction, this practical introduction will also be useful to professionals looking to add the power of graphic statics to their work.

Structures: A Studio Approach

Structures: A Studio Approach PDF Author: Edmond Saliklis
Publisher: Springer Nature
ISBN: 3030331539
Category : Technology & Engineering
Languages : en
Pages : 342

Book Description
Understanding how gravity loads and wind and earthquake loads flow through a building is of utmost importance to all structural engineers and architects. Paradoxically, this critical idea is practically not addressed in any textbook on the market. Meant as a companion to the author’s Structures: A Geometric Approach, this textbook fills that need with qualitative techniques as well as quantitative tools that use state of the art visual representation of forces and deformations in structures. Structures: A Studio Approach reaches out to both structural engineers and designers by presenting structural engineering topics in an interdisciplinary studio environment. Using many graphical techniques, it offers a very rigorous approach, but also enables creativity. Cutting edge finite element as well as parametric modeling tools are used, and state of the art visual representations of force flow help both groups of students realize that understanding three dimensional load flow in a building is a requirement for channeling that flow in a structurally efficient and visually expressive manner. Ultimately, the reader is able to develop a unique structural sensibility; an ethos that places structural design on an equal footing with the design of program, skin, massing and site.

Architectural Structures

Architectural Structures PDF Author: Edmond Saliklis
Publisher: Taylor & Francis
ISBN: 1000578569
Category : Architecture
Languages : en
Pages : 227

Book Description
- Presents a new geometric method of structural analysis - Offers new, geometric and visually engaging Müller-Breslau Method tools - An essential resource for architecture and engineering students and instructors that is novel and geometric - Includes over 300 black and white illustrations - Includes open-ended, three dimensional student exercises throughout

A Geometric Approach to the Unification of Symbolic Structures and Neural Networks

A Geometric Approach to the Unification of Symbolic Structures and Neural Networks PDF Author: Tiansi Dong
Publisher: Springer Nature
ISBN: 3030562751
Category : Technology & Engineering
Languages : en
Pages : 155

Book Description
The unification of symbolist and connectionist models is a major trend in AI. The key is to keep the symbolic semantics unchanged. Unfortunately, present embedding approaches cannot. The approach in this book makes the unification possible. It is indeed a new and promising approach in AI. -Bo Zhang, Director of AI Institute, Tsinghua It is indeed wonderful to see the reviving of the important theme Nural Symbolic Model. Given the popularity and prevalence of deep learning, symbolic processing is often neglected or downplayed. This book confronts this old issue head on, with a historical look, incorporating recent advances and new perspectives, thus leading to promising new methods and approaches. -Ron Sun (RPI), on Governing Board of Cognitive Science Society Both for language and humor, approaches like those described in this book are the way to snickerdoodle wombats. -Christian F. Hempelmann (Texas A&M-Commerce) on Executive Board of International Society for Humor Studies

Modern Geometric Structures and Fields

Modern Geometric Structures and Fields PDF Author: Сергей Петрович Новиков
Publisher: American Mathematical Soc.
ISBN: 0821839292
Category : Mathematics
Languages : en
Pages : 658

Book Description
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.

A Geometric Approach to Coherent Structures in Complex Dynamical Systems

A Geometric Approach to Coherent Structures in Complex Dynamical Systems PDF Author: Mattia Serra
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Geometric Structures

Geometric Structures PDF Author: Douglas B. Aichele
Publisher: Prentice Hall
ISBN: 9780131483927
Category : Geometry
Languages : en
Pages : 0

Book Description
For prospective elementary and middle school teachers. This text provides a creative, inquiry-based experience with geometry that is appropriate for prospective elementary and middle school teachers. The coherent series of text activities supports each student's growth toward being a confident, independent learner empowered with the help of peers to make sense of the geometric world. This curriculum is explicitly developed to provide future elementary and middle school teachers with experience recalling and appropriately using standard geometry ideas, experience learning and making sense of new geometry, experience discussing geometry with peers, experience asking questions about geometry, experience listening and understanding as others talk about geometry, experience gaining meaning from reading geometry, experience expressing geometry ideas through writing, experience thinking about geometry, and experience doing geometry. These activities constitute an "inquiry based" curriculum. In this style of learning and teaching, whole class discussions and group work replace listening to lectures as the dominant class activity.

Geometric Structures of Information

Geometric Structures of Information PDF Author: Frank Nielsen
Publisher: Springer
ISBN: 3030025209
Category : Technology & Engineering
Languages : en
Pages : 392

Book Description
This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions between several branches of science: information science, mathematics and physics. It addresses interrelations between different mathematical domains like shape spaces, probability/optimization & algorithms on manifolds, relational and discrete metric spaces, computational and Hessian information geometry, algebraic/infinite dimensional/Banach information manifolds, divergence geometry, tensor-valued morphology, optimal transport theory, manifold & topology learning, and applications like geometries of audio-processing, inverse problems and signal processing. The book collects the most important contributions to the conference GSI’2017 – Geometric Science of Information.

Differential Geometric Structures

Differential Geometric Structures PDF Author: Walter A. Poor
Publisher: Courier Corporation
ISBN: 0486151913
Category : Mathematics
Languages : en
Pages : 356

Book Description
This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.

Electrodynamics

Electrodynamics PDF Author: William Baylis
Publisher: Springer Science & Business Media
ISBN: 9780817640255
Category : Science
Languages : en
Pages : 68

Book Description
The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Liénard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis