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Author : Jörg Flum
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 444/5 ( reviews)
Book Synopsis Topological Model Theory by : Jörg Flum
Download or read book Topological Model Theory written by Jörg Flum. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anatolij T. Fomenko
Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 566/5 ( reviews)
Book Synopsis Topological Modeling for Visualization by : Anatolij T. Fomenko
Download or read book Topological Modeling for Visualization written by Anatolij T. Fomenko. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other.
Author : Ross Geoghegan
Release : 2007-12-17
Genre : Mathematics
Kind : eBook
Book Rating : 110/5 ( reviews)
Book Synopsis Topological Methods in Group Theory by : Ross Geoghegan
Download or read book Topological Methods in Group Theory written by Ross Geoghegan. This book was released on 2007-12-17. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.
Author : Nataša Jonoska
Release : 2013-12-23
Genre : Computers
Kind : eBook
Book Rating : 937/5 ( reviews)
Book Synopsis Discrete and Topological Models in Molecular Biology by : Nataša Jonoska
Download or read book Discrete and Topological Models in Molecular Biology written by Nataša Jonoska. This book was released on 2013-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.
Author : Vladimir V. Tkachuk
Release : 2011-03-23
Genre : Mathematics
Kind : eBook
Book Rating : 423/5 ( reviews)
Book Synopsis A Cp-Theory Problem Book by : Vladimir V. Tkachuk
Download or read book A Cp-Theory Problem Book written by Vladimir V. Tkachuk. This book was released on 2011-03-23. Available in PDF, EPUB and Kindle. Book excerpt: The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.
