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Author : Nikos Askitas
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (62 download)
Download or read book Grids as Unknotting Operations written by Nikos Askitas and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nikos Askitas
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (62 download)
Download or read book Grids as Unknotting Operations written by Nikos Askitas and published by . This book was released on 1997 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. McA. Gordon
Publisher : World Scientific
ISBN 13 : 9810243405
Total Pages : 580 pages
Book Rating : 4.8/5 (12 download)
Download or read book Knots in Hellas '98 written by C. McA. Gordon and published by World Scientific. This book was released on 2000 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon?Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2, C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.
Author : Peter S. Ozsváth
Publisher : American Mathematical Soc.
ISBN 13 : 1470417375
Total Pages : 423 pages
Book Rating : 4.4/5 (74 download)
Download or read book Grid Homology for Knots and Links written by Peter S. Ozsváth and published by American Mathematical Soc.. This book was released on 2015-12-04 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
Author : N. A. Askitas
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (258 download)
Download or read book Multi-# Unknotting Operations written by N. A. Askitas and published by . This book was released on 1997 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yongjie Jessica Zhang
Publisher : CRC Press
ISBN 13 : 1315360225
Total Pages : 197 pages
Book Rating : 4.3/5 (153 download)
Download or read book Geometric Modeling and Mesh Generation from Scanned Images written by Yongjie Jessica Zhang and published by CRC Press. This book was released on 2018-09-03 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate image processing, geometric modeling, and mesh generation with the finite element method (FEM) to solve problems in computational biology, medicine, materials science, and engineering. Based on the author’s recent research and course at Carnegie Mellon University, the text explains the fundamentals of medical imaging, image processing, computational geometry, mesh generation, visualization, and finite element analysis. It also explores novel and advanced applications in computational biology, medicine, materials science, and other engineering areas. One of the first to cover this emerging interdisciplinary field, the book addresses biomedical/material imaging, image processing, geometric modeling and visualization, FEM, and biomedical and engineering applications. It introduces image-mesh-simulation pipelines, reviews numerical methods used in various modules of the pipelines, and discusses several scanning techniques, including ones to probe polycrystalline materials. The book next presents the fundamentals of geometric modeling and computer graphics, geometric objects and transformations, and curves and surfaces as well as two isocontouring methods: marching cubes and dual contouring. It then describes various triangular/tetrahedral and quadrilateral/hexahedral mesh generation techniques. The book also discusses volumetric T-spline modeling for isogeometric analysis (IGA) and introduces some new developments of FEM in recent years with applications.
Author : Petra Mutzel
Publisher : Springer Nature
ISBN 13 : 303096731X
Total Pages : 428 pages
Book Rating : 4.0/5 (39 download)
Download or read book WALCOM: Algorithms and Computation written by Petra Mutzel and published by Springer Nature. This book was released on 2022-03-16 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Conference on Algorithms and Computation, WALCOM 2022, which was held in Jember, Indonesia, during March 24-26, 2022. This proceedings volume contains 30 full papers which were carefully reviewed and selected from a total of 89 submissions and 3 invited papers. They cover diverse areas of algorithms and computation, such as approximation algorithms, computational complexity, computational geometry, graph algorithms, graph drawing and visualization, online algorithms, parameterized complexity and property testing.
Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Author : Herbert Edelsbrunner
Publisher : American Mathematical Society
ISBN 13 : 1470467690
Total Pages : 241 pages
Book Rating : 4.4/5 (74 download)
Download or read book Computational Topology written by Herbert Edelsbrunner and published by American Mathematical Society. This book was released on 2022-01-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Author : Peter R. Cromwell
Publisher : Cambridge University Press
ISBN 13 : 9780521548311
Total Pages : 356 pages
Book Rating : 4.5/5 (483 download)
Download or read book Knots and Links written by Peter R. Cromwell and published by Cambridge University Press. This book was released on 2004-10-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content.
Author : James White
Publisher : Macmillan
ISBN 13 : 9780312875442
Total Pages : 516 pages
Book Rating : 4.8/5 (754 download)
Download or read book Beginning Operations written by James White and published by Macmillan. This book was released on 2001-06-02 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3 science fiction-romaner.
Author : H. Levent Akin
Publisher : Springer
ISBN 13 : 331916595X
Total Pages : 750 pages
Book Rating : 4.3/5 (191 download)
Download or read book Algorithmic Foundations of Robotics XI written by H. Levent Akin and published by Springer. This book was released on 2015-04-30 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This carefully edited volume is the outcome of the eleventh edition of the Workshop on Algorithmic Foundations of Robotics (WAFR), which is the premier venue showcasing cutting edge research in algorithmic robotics. The eleventh WAFR, which was held August 3-5, 2014 at Boğaziçi University in Istanbul, Turkey continued this tradition. This volume contains extended versions of the 42 papers presented at WAFR. These contributions highlight the cutting edge research in classical robotics problems (e.g. manipulation, motion, path, multi-robot and kinodynamic planning), geometric and topological computation in robotics as well novel applications such as informative path planning, active sensing and surgical planning. This book - rich by topics and authoritative contributors - is a unique reference on the current developments and new directions in the field of algorithmic foundations.
Author : Slavik V. Jablan
Publisher : World Scientific
ISBN 13 : 9812772235
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)
Download or read book LinKnot written by Slavik V. Jablan and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: LinKnot - 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. 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.
Author : Jeffrey D. Sachs
Publisher : Penguin
ISBN 13 : 1101643285
Total Pages : 465 pages
Book Rating : 4.1/5 (16 download)
Download or read book The End of Poverty written by Jeffrey D. Sachs and published by Penguin. This book was released on 2006-02-28 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Book and man are brilliant, passionate, optimistic and impatient . . . Outstanding." —The Economist The landmark exploration of economic prosperity and how the world can escape from extreme poverty for the world's poorest citizens, from one of the world's most renowned economists Hailed by Time as one of the world's hundred most influential people, Jeffrey D. Sachs is renowned for his work around the globe advising economies in crisis. Now a classic of its genre, The End of Poverty distills more than thirty years of experience to offer a uniquely informed vision of the steps that can transform impoverished countries into prosperous ones. Marrying vivid storytelling with rigorous analysis, Sachs lays out a clear conceptual map of the world economy. Explaining his own work in Bolivia, Russia, India, China, and Africa, he offers an integrated set of solutions to the interwoven economic, political, environmental, and social problems that challenge the world's poorest countries. Ten years after its initial publication, The End of Poverty remains an indispensible and influential work. In this 10th anniversary edition, Sachs presents an extensive new foreword assessing the progress of the past decade, the work that remains to be done, and how each of us can help. He also looks ahead across the next fifteen years to 2030, the United Nations' target date for ending extreme poverty, offering new insights and recommendations.
Author : Dale Rolfsen
Publisher : American Mathematical Soc.
ISBN 13 : 0821834363
Total Pages : 458 pages
Book Rating : 4.8/5 (218 download)
Download or read book Knots and Links written by Dale Rolfsen and published by American Mathematical Soc.. This book was released on 2003 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rolfsen's beautiful book on knots and links can be read by anyone, from beginner to expert, who wants to learn about knot theory. Beginners find an inviting introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's theorem, for example, which are then applied to concrete problems, such as computing knot groups. For experts, Rolfsen explains advanced topics, such as the connections between knot theory and surgery and how they are useful to understanding three-manifolds. Besides providing a guide to understanding knot theory, the book offers 'practical' training. After reading it, you will be able to do many things: compute presentations of knot groups, Alexander polynomials, and other invariants; perform surgery on three-manifolds; and visualize knots and their complements.It is characterized by its hands-on approach and emphasis on a visual, geometric understanding. Rolfsen offers invaluable insight and strikes a perfect balance between giving technical details and offering informal explanations. The illustrations are superb, and a wealth of examples are included. Now back in print by the AMS, the book is still a standard reference in knot theory. It is written in a remarkable style that makes it useful for both beginners and researchers. Particularly noteworthy is the table of knots and links at the end. This volume is an excellent introduction to the topic and is suitable as a textbook for a course in knot theory or 3-manifolds. Other key books of interest on this topic available from the AMS are ""The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace your Shoes"" and ""The Knot Book.""
Author : William Menasco
Publisher : Elsevier
ISBN 13 : 9780080459547
Total Pages : 502 pages
Book Rating : 4.4/5 (595 download)
Download or read book Handbook of Knot Theory written by William Menasco and published by Elsevier. This book was released on 2005-08-02 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics
