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Author: Alan Holden
Publisher:
ISBN: 9780231887571
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
Studies man's purposeful tangles emanating from weaving and basketry through mathematicians knots, Gordian knots, and polylinks.
Author: Alan Holden
Publisher:
ISBN: 9780231887571
Category : MATHEMATICS
Languages : en
Pages :
Get Book Here
Book Description
Studies man's purposeful tangles emanating from weaving and basketry through mathematicians knots, Gordian knots, and polylinks.
Author: Slavik V. Jablan
Publisher: World Scientific
ISBN: 9812772243
Category : Mathematics
Languages : en
Pages : 497
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Book Description
LinKnot OCo Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Hands-on computations using Mathematica or the webMathematica package LinKnot (available online at http: //math.ict.edu.rs ) and beautiful illustrations facilitate better learning and understanding. LinKnot is also a powerful research tool for experimental mathematics implementation of Caudron's ideas. The use of Conway notation enables experimenting with large families of knots and links. Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata. Sample Chapter(s). 1.1 Basic graph theory (176 KB). Contents: Notation of Knots and Links; Recognition and Generation of Knots and Links; History of Knot Theory and Applications of Knots and Links. Readership: Researchers interested in knot theory and users of Mathematica."
Author: Marjorie Senechal
Publisher: Springer Science & Business Media
ISBN: 038792714X
Category : Mathematics
Languages : en
Pages : 334
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Book Description
This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.
Author: Jay Kappraff
Publisher: World Scientific
ISBN: 9789810245863
Category : Mathematics
Languages : en
Pages : 524
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Book Description
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition.
Author: Rodolfo R. Llinas
Publisher: MIT Press
ISBN: 9780262621632
Category : Medical
Languages : en
Pages : 324
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Book Description
A highly original theory of how the mind-brain works, based on the author's study of single neuronal cells. In I of the Vortex, Rodolfo Llinas, a founding father of modern brain science, presents an original view of the evolution and nature of mind. According to Llinas, the "mindness state" evolved to allow predictive interactions between mobile creatures and their environment. He illustrates the early evolution of mind through a primitive animal called the "sea squirt." The mobile larval form has a brainlike ganglion that receives sensory information about the surrounding environment. As an adult, the sea squirt attaches itself to a stationary object and then digests most of its own brain. This suggests that the nervous system evolved to allow active movement in animals. To move through the environment safely, a creature must anticipate the outcome of each movement on the basis of incoming sensory data. Thus the capacity to predict is most likely the ultimate brain function. One could even say that Self is the centralization of prediction. At the heart of Llinas's theory is the concept of oscillation. Many neurons possess electrical activity, manifested as oscillating variations in the minute voltages across the cell membrane. On the crests of these oscillations occur larger electrical events that are the basis for neuron-to-neuron communication. Like cicadas chirping in unison, a group of neurons oscillating in phase can resonate with a distant group of neurons. This simultaneity of neuronal activity is the neurobiological root of cognition. Although the internal state that we call the mind is guided by the senses, it is also generated by the oscillations within the brain. Thus, in a certain sense, one could say that reality is not all "out there," but is a kind of virtual reality.
Author: Peter William House
Publisher: Transaction Publishers
ISBN: 9781412831055
Category : Political Science
Languages : en
Pages : 452
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Book Description
Rush to Policy explores the appropriate role of technical analysis in policy formulation. The authors ask when and how the use of sophisticated analytic techniques in decision-making benefits the nation. They argues that these techniques are too often used in situations where they may not be needed or understood by the decision maker, where they may not be to answer the questions raised but are nonetheless required by law. House and Shull provide an excellent empirical base for describing the impact of politics on policies, policy analysis, and policy analysts. They examine cost-benefit analysis, risk analysis, and decision analysis and assess their ability to substitute for the current decision-making process in the public sector. They examine the political basis of public sector decision-making, how individuals and organizations make decisions, and the ways decisions are made in the federal sector. Also, they discuss the mandate to use these methods in the policy formulation process. The book is written by two practicing federal policy analysts who, in a decade of service as policy researchers, developed sophisticated quantitative analytic and decision-making techniques. They then spent several years trying to use them in the real world. Success and failures are described in illuminating detail, providing insight not commonly found in such critiques. The authors delineate the interaction of politics and technical issues. Their book describes policy analysis as it is, not how it ought to be. Peter W. House is the director of policy research and analysis at the National Science Foundation. He is the author of ten books on multidisciplinary science and technology policy research and analyses in government, private, and university sectors, including The Art of Public Policy Analysis and with Roger D. Shull, Regulatory Reform: Politics and the Environment and Regulations and Science: Management of Research on Demand. Roger D. Shull is a senior analyst at the Division of Policy Research and Analysis, National Science Foundation.
Author: Arthur Loeb
Publisher: Springer Science & Business Media
ISBN: 1461203430
Category : Mathematics
Languages : en
Pages : 238
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Book Description
1. Introduction . 1 2. Areas and Angles . . 6 3. Tessellations and Symmetry 14 4. The Postulate of Closest Approach 28 5. The Coexistence of Rotocenters 36 6. A Diophantine Equation and its Solutions 46 7. Enantiomorphy. . . . . . . . 57 8. Symmetry Elements in the Plane 77 9. Pentagonal Tessellations . 89 10. Hexagonal Tessellations 101 11. Dirichlet Domain 106 12. Points and Regions 116 13. A Look at Infinity . 122 14. An Irrational Number 128 15. The Notation of Calculus 137 16. Integrals and Logarithms 142 17. Growth Functions . . . 149 18. Sigmoids and the Seventh-year Trifurcation, a Metaphor 159 19. Dynamic Symmetry and Fibonacci Numbers 167 20. The Golden Triangle 179 21. Quasi Symmetry 193 Appendix I: Exercise in Glide Symmetry . 205 Appendix II: Construction of Logarithmic Spiral . 207 Bibliography . 210 Index . . . . . . . . . . . . . . . . . . . . 225 Concepts and Images is the result of twenty years of teaching at Harvard's Department of Visual and Environmental Studies in the Carpenter Center for the Visual Arts, a department devoted to turning out students articulate in images much as a language department teaches reading and expressing one self in words. It is a response to our students' requests for a "handout" and to l our colleagues' inquiries about the courses : Visual and Environmental Studies 175 (Introduction to Design Science), YES 176 (Synergetics, the Structure of Ordered Space), Studio Arts 125a (Design Science Workshop, Two-Dimension al), Studio Arts 125b (Design Science Workshop, Three-Dimensional),2 as well as my freshman seminars on Structure in Science and Art.
Author: Cristopher Nash
Publisher: Taylor & Francis
ISBN: 1040145191
Category : Literary Criticism
Languages : en
Pages : 346
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Book Description
Contemporary readers face a literature that seems to ‘speak for’ them, yet they often struggle to say just how or why. Out of the deluge of works from such writers as Barth, Barthelme, Beckett, Borges, Brooke-Rose, Burroughs, Butor, Calvino, Cortázar, Federman, Fuentes, Le Guin, Márquez, McElroy, Nabokov, O’Brien, Pynchon, Robbe-Grillet, Sanguineti, Sarraute, Sollers, Sukenick, Tolkien, Vonnegut, new words and world-models that demand understanding fill the air. Yet they seem frequently beyond reach because the framework of ideas within which this often brilliant but seemingly bewilderingly disparate flood of discourses might make sense remains largely unexpressed. Beginning with the first concisely concerted assessment in English of the premisses and practice of Realism as viewed by those who feel that there is no choice but to move on, this book (first published in 1987) confronts the vocabulary and rhetoric of current radical theory with the actual procedures of post-war fiction. In a spirit of challenging experiment, it scrutinizes the themes, motifs, and strategies of contemporary narrative and reveals an unsuspected continuity of hitherto concealed premisses and dilemmas built into recent postmodern and poststructuralist thought. As provocative as the literature it regards, it proposes that anti-Realism is no longer merely a ‘movement’ – that it has become a massive and equally conventionalized and problematical tradition living alongside Realism throughout the Western world.
Author: Godfried T. Toussaint
Publisher: Elsevier
ISBN: 1483257118
Category : Mathematics
Languages : en
Pages : 472
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Book Description
Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing convex hulls, simple on-line algorithms for convex polygons, and geometric algorithms that use the furthest-point Voronoi diagram. Discussions focus on algorithms that use the furthest-point Voronoi diagram, intersection of a convex polygon and a halfplane, point insertion, convex hulls and polygons and their representations, and parallel algorithm for selection and computing convex hulls. The text then examines optimal convex decompositions, expected time analysis of algorithms in computational geometry, and practical use of bucketing techniques in computational geometry. The book takes a look at minimum decompositions of polygonal objects, framework for computational morphology, display of visible edges of a set of convex polygons, and implementation study of two algorithms for the minimum spanning circle problem. Topics include rolling algorithm, shape of point sets, and decomposition of rectilinear and simple polygons and polygons with holes. The selection is a valuable source of data for researchers interested in computational geometry.
Author: Ed Pegg Jr
Publisher: CRC Press
ISBN: 1439865396
Category : Mathematics
Languages : en
Pages : 286
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Book Description
In this volume, world-leading puzzle designers, puzzle collectors, mathematicians, and magicians continue the tradition of honoring Martin Gardner, who inspired them to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. This edited collection contains a variety of articles connected t
