Download or read book Structures A Geometric Approach written by Edmond Saliklis and published by Springer. This book was released on 2018-11-07 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Structures A Studio Approach written by Edmond Saliklis and published by Springer Nature. This book was released on 2020-03-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book A Geometric Approach to the Unification of Symbolic Structures and Neural Networks written by Tiansi Dong and published by Springer Nature. This book was released on 2020-08-24 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Modern Geometric Structures and Fields written by Сергей Петрович Новиков and published by American Mathematical Soc.. This book was released on 2006 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Structures written by Douglas B. Aichele and published by Prentice Hall. This book was released on 2007-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book General Relativity written by Malcolm Ludvigsen and published by Cambridge University Press. This book was released on 1999-05-28 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions and hints to selected exercises
Download or read book Geometric Structures of Information written by Frank Nielsen and published by Springer. This book was released on 2018-11-19 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Architectural Structures written by Edmond Saliklis and published by Routledge. This book was released on 2022-05-20 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Architectural Structures presents an alternative approach to understanding structural engineering load flow using a visually engaging and three-dimensional format. This book presents a ground-breaking new way of establishing equilibrium in architectural structures using the Modern Müller-Breslau method. While firmly grounded in principles of mechanics, this method does not use traditional algebraic statics, nor does it use classical graphic statics. Rather, it solely uses new geometric tools. Both statically determinate and statically indeterminate structures are analyzed using this graphic method to provide a geometric understanding of how load flows through architectural structures. This book includes approachable coverage of parametric modeling of two-dimensional and three-dimensional structures, as well as more advanced topics such as indeterminate structural analysis and plastic analysis. Hundreds of detailed drawings created by the author are included throughout to aid understanding. Architecture and structural engineering students can employ this novel method by hand sketching, or by programming in parametric design software. A detailed yet approachable guide, Architectural Structures is ideal for students of architecture, construction management, and structural engineering, at all levels. Practitioners will find the method extremely useful for quickly solving load tracing problems in three-dimensional grids.
Download or read book Advances in Architectural Geometry 2010 written by Cristiano Ceccato and published by Birkhäuser. This book was released on 2016-12-05 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Advances in Architectural Geometry 2010".
Download or read book Differential Geometric Structures written by Walter A. Poor and published by Courier Corporation. This book was released on 2015-04-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Alternative Approach to Lie Groups and Geometric Structures written by Ercüment H. Ortaçgil and published by Oxford University Press. This book was released on 2018-06-28 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new and innovative approach to Lie groups and differential geometry. Rather than compiling and reviewing the existing material on this classical subject, Professor Ortaçgil instead questions the foundations of the subject, and proposes a new direction. Aimed at the curious and courageous mathematician, this book aims to provoke further debate and inspire further development of this original research.
Download or read book Electrodynamics written by William Baylis and published by Springer Science & Business Media. This book was released on 2004-01-12 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Analysis of Geometrically Nonlinear Structures written by Robert Levy and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of computers has, in real terms, moved forward the practice of structural engineering. Where it was once enough to have any analysis given a complex configuration, the profession today is much more demanding. How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures. " This theorem implies that in most cases (in all cases of incremental analysis) geometric nonlinearities should be considered. And it is well known that problems of buckling, cable nets, fabric structures, ... REQUIRE the inclusion of geometric nonlinearities. What is offered in the book which follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a discussion of large strain. What makes this all work is perturbation theory. Let the equations of equilibrium for a system be written as where P represents the applied loads, F represents the member forces or stresses, and N represents the operator which describes system equilibrium.
Download or read book New Horizons In Differential Geometry And Its Related Fields written by Toshiaki Adachi and published by World Scientific. This book was released on 2022-04-07 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.
Download or read book Geometric Possibility written by Gordon Belot and published by OUP Oxford. This book was released on 2013-06-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relationalism seeks to ground all claims about the structure of space in facts about actual and possible configurations of matter. Gordon Belot elucidates the prospects for this view of the nature of space by investigating the key notion of geometric possibility in relation to philosophical notions of physical possibility.
Download or read book Geometric Data Structures for Computer Graphics written by Elmar Langetepe and published by A K Peters/CRC Press. This book was released on 2006 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on algorithms and geometric data structures that have proven to be versatile, efficient and fundamental. It endows practitioners in the computer graphics field with a working knowledge of a wide range of geometric data structures from computational geometry.
Download or read book Linear Stochastic Systems written by Anders Lindquist and published by Springer. This book was released on 2015-04-24 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a treatise on the theory and modeling of second-order stationary processes, including an exposition on selected application areas that are important in the engineering and applied sciences. The foundational issues regarding stationary processes dealt with in the beginning of the book have a long history, starting in the 1940s with the work of Kolmogorov, Wiener, Cramér and his students, in particular Wold, and have since been refined and complemented by many others. Problems concerning the filtering and modeling of stationary random signals and systems have also been addressed and studied, fostered by the advent of modern digital computers, since the fundamental work of R.E. Kalman in the early 1960s. The book offers a unified and logically consistent view of the subject based on simple ideas from Hilbert space geometry and coordinate-free thinking. In this framework, the concepts of stochastic state space and state space modeling, based on the notion of the conditional independence of past and future flows of the relevant signals, are revealed to be fundamentally unifying ideas. The book, based on over 30 years of original research, represents a valuable contribution that will inform the fields of stochastic modeling, estimation, system identification, and time series analysis for decades to come. It also provides the mathematical tools needed to grasp and analyze the structures of algorithms in stochastic systems theory.
