Download or read book Linear analysis of frame structures by use of algebraic topology written by Alf Samuelsson and published by . This book was released on 1962 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Analysis of Frame Structures by Use of Algebraic Topology written by Alf Samuelsson and published by . This book was released on 1962 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1963 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Civil and Structural Engineering Computing 2001 written by B. H. V. Topping and published by . This book was released on 2001 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes invited lectures presented at The Eighth International Conference on Civil and Structural Engineering Computing and The Sixth International Conference on the Application of Artificial Intelligence to Civil and Structural Engineering held in Eisenstadt, Vienna, Austria between 19-21 September 2001.
Download or read book Frames and Locales written by Jorge Picado and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.
Download or read book Proceedings of the Royal Society Section A Mathematical and Physical Science written by Royal Society (Great Britain) and published by . This book was released on 1976 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings written by and published by . This book was released on 1964 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classed Subject Catalog written by Engineering Societies Library and published by . This book was released on 1963 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Space Structures written by Robert Mervyn Davies and published by . This book was released on 1967 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Structural Analysis and Finite Element Methods written by A. Kaveh and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.
Download or read book Nonlinear Structures the Maxwell Mohr Work Theorem and the Displacement Method written by Bengt Å Åkesson and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author had a desire to contribute to the advancement of a general theory for the analysis of statically loaded elastic structures with all kinds of nonlinearities permitted. The theory should set out from the conception of a structure as an assemblage of a finite number of finite members inter-connected in a finite number of loaded joints. Particularly, the author wished to suggest, develop, explain and term some new concepts in order to facilitate discussion and classification of nonlinear structure analysis, to introduce a compact notation to express nonlinear relations between matrices, to find a necessary and sufficient condition for the validity of Maxwell's and Mohr's work theorem, to clarify the relation between Maxwell's and Mohr's work theorem and the duality (contragredience, cotransference) of the natural transformations, to formulate displacement method solutions for nonlinear structures, to examine the consequences of representing the member load by statically dependent components instead of statically independent components, to review, discuss and classify current methods for the analysis of non-linear structures, to inquire into the possibility of using matrices with variable elements in nonlinear structure analysis, and to peruse and list existing literature on nonlinear structure analysis. After deliberation, the author has decided to omit figures. Figures could illustrate only a few concrete cases, and they might spoil the reader's imagination of the general situation in structure analysis. Needed verification is probably best obtained through examples devised by the reader himself.
Download or read book Geometric Continuum Mechanics written by Reuven Segev and published by Springer Nature. This book was released on 2020-05-13 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. Chapter authors are experts in their respective areas, and provide important insights from the most recent research. Organized into two parts, the book first covers kinematics, forces, and stress theory, and then addresses defects, uniformity, and homogeneity. Specific topics covered include: Global stress and hyper-stress theories Applications of de Rham currents to singular dislocations Manifolds of mappings for continuum mechanics Kinematics of defects in solid crystals Geometric Continuum Mechanics will appeal to graduate students and researchers in the fields of mechanics, physics, and engineering who seek a more rigorous mathematical understanding of the area. Mathematicians interested in applications of analysis and geometry will also find the topics covered here of interest.
Download or read book Frames and Locales written by Jorge Picado and published by Birkhäuser. This book was released on 2012-02-29 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.
Download or read book Chalmers tekniska h gskolas handlingar written by Chalmers tekniska högskola and published by . This book was released on 1966 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1963 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Avhandling written by Kungl. Tekniska högskolan and published by . This book was released on 1964 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
