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Explorations in Topology

Explorations in Topology
  • Author : David Gay
  • Publsiher : Elsevier
  • Release : 04 December 2013
  • ISBN : 0124166407
  • Pages : 332 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKExplorations in Topology

Summary:
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology. Students begin to solve substantial problems from the start Ideas unfold through the context of a storyline, and students become actively involved The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material


Explorations in Topology

Explorations in Topology
  • Author : David Gay
  • Publisher : Elsevier
  • Release : 04 December 2013
GET THIS BOOKExplorations in Topology

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations


Heidegger and the Thinking of Place

Heidegger and the Thinking of Place
  • Author : Jeff Malpas
  • Publisher : MIT Press
  • Release : 27 January 2012
GET THIS BOOKHeidegger and the Thinking of Place

The philosophical significance of place—in Heidegger's work and as the focus of a distinctive mode of philosophical thinking. The idea of place—topos—runs through Martin Heidegger's thinking almost from the very start. It can be seen not only in his attachment to the famous hut in Todtnauberg but in his constant deployment of topological terms and images and in the situated, “placed” character of his thought and of its major themes and motifs. Heidegger's work, argues Jeff Malpas,


Intuitive Combinatorial Topology

Intuitive Combinatorial Topology
  • Author : Vladimir Grigorvich·Bolt雐靉nski鎖,V.G. Boltyanskii,V.A. Efremovich
  • Publisher : Springer Science & Business Media
  • Release : 30 March 2001
GET THIS BOOKIntuitive Combinatorial Topology

Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.


Topologies of the Flesh

Topologies of the Flesh
  • Author : Steven M. Rosen
  • Publisher : Ohio University Press
  • Release : 03 March 2021
GET THIS BOOKTopologies of the Flesh

This is an unprecedented marriage of topology (a branch of mathematics dealing with the properties of geometric figures that stay the same when the figures are distorted) and phenomenology. Through his unique application of qualitative mathematics, Rosen offers a detailed exploration of previously uncharted dimensions of human experience and the natural world.


Topology for Analysis

Topology for Analysis
  • Author : Albert Wilansky
  • Publisher : Dover Publications
  • Release : 23 December 2013
GET THIS BOOKTopology for Analysis

Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important topological concepts. 1970 edition.


Explorations in Analysis, Topology, and Dynamics

Explorations in Analysis, Topology, and Dynamics
  • Author : Alejandro Uribe Ahumada,Daniel Alan Visscher
  • Publisher : Anonim
  • Release : 03 March 2021
GET THIS BOOKExplorations in Analysis, Topology, and Dynamics

This book is an introduction to the theory of calculus in the style of inquiry-based learning. The text guides students through the process of making mathematical ideas rigorous, from investigations and problems to definitions and proofs. The format allows for various levels of rigor as negotiated between instructor and students, and the text can be of use in a theoretically oriented calculus course or an analysis course that develops rigor gradually. Material on topology (e.g., of higher dimensional Euclidean


Experiments in Topology

Experiments in Topology
  • Author : Stephen Barr
  • Publisher : Courier Corporation
  • Release : 04 December 2012
GET THIS BOOKExperiments in Topology

Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.


Heidegger's Topology

Heidegger's Topology
  • Author : Jeff Malpas
  • Publisher : MIT Press
  • Release : 29 August 2008
GET THIS BOOKHeidegger's Topology

This groundbreaking inquiry into the centrality of place in Martin Heidegger's thinking offers not only an illuminating reading of Heidegger's thought but a detailed investigation into the way in which the concept of place relates to core philosophical issues. In Heidegger's Topology, Jeff Malpas argues that an engagement with place, explicit in Heidegger's later work, informs Heidegger's thought as a whole. What guides Heidegger's thinking, Malpas writes, is a conception of philosophy's starting point: our finding ourselves already "there," situated


Beginning Topology

Beginning Topology
  • Author : Sue Goodman
  • Publisher : Amer Mathematical Society
  • Release : 03 March 2021
GET THIS BOOKBeginning Topology

With a nice balance of mathematical precision and accessibility, this text provides a broad introduction to the field of topology. Author Sue Goodman piques student curiosity and interest without losing necessary rigor so that they can appreciate the beauty and fun of mathematics. The text demonstrates that mathematics is an active and ever-changing field with many problems still unsolved, and students will see how the various areas of mathematics – algebra, combinatorics, geometry, calculus, and differential equations – interact with topology. Students


Knot Projections

Knot Projections
  • Author : Noboru Ito
  • Publisher : CRC Press
  • Release : 03 November 2016
GET THIS BOOKKnot Projections

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired by Arnold’s theory of plane curves, Viro’s quantization of the Arnold invariant, and Vassiliev’s theory of knots, among others. The presentation exploits the intuitiveness of knot projections to introduce the material to an audience without a prior background in topology, making the book suitable as a useful alternative to standard textbooks on the subject.


New Scientific Applications of Geometry and Topology

New Scientific Applications of Geometry and Topology
  • Author : De Witt L. Sumners,Nicholas R. Cozzarelli
  • Publisher : American Mathematical Soc.
  • Release : 03 March 1992
GET THIS BOOKNew Scientific Applications of Geometry and Topology

Geometry and topology are subjects generally considered to be ``pure'' mathematics. Recently, however, some of the methods and results in these two areas have found new utility in both wet-lab science (biology and chemistry) and theoretical physics. Conversely, science is influencing mathematics, from posing questions that call for the construction of mathematical models to exporting theoretical methods of attack on long-standing problems of mathematical interest. Based on an AMS Short Course held in January 1992, this book contains six introductory articles


Differential Topology

Differential Topology
  • Author : Victor Guillemin,Alan Pollack
  • Publisher : American Mathematical Soc.
  • Release : 03 March 2021
GET THIS BOOKDifferential Topology

Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use


Explorations in the Complexity of Possible Life

Explorations in the Complexity of Possible Life
  • Author : Peter Dittrich,Stefan Artmann
  • Publisher : IOS Press
  • Release : 03 March 2021
GET THIS BOOKExplorations in the Complexity of Possible Life

"Since its inception in the 1980s, Artificial Life is an interdisciplinary field of science focused on abstracting the essential features and dynamics of living systems in order to create artificial life-like and living systems. In 1995, the first German Workshop on Artificial Life (GWAL) was organized by young researchers who were interested in this newly emerging science and wanted to discuss their projects and results in an open, informal atmosphere. The 7th GWAL, which was held in Jena 2006, continued the successful



The Knot Book

The Knot Book
  • Author : Colin Conrad Adams
  • Publisher : American Mathematical Soc.
  • Release : 03 March 2021
GET THIS BOOKThe Knot Book

Knots are familiar objects. We use them to moor our boats, to wrap our packages, to tie our shoes. Yet the mathematical theory of knots quickly leads to deep results in topology and geometry. The Knot Book is an introduction to this rich theory, starting from our familiar understanding of knots and a bit of college algebra and finishing with exciting topics of current research. The Knot Book is also about the excitement of doing mathematics. Colin Adams engages the