Explorations 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 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

Produk Detail:

  • Author : David Gay
  • Publisher : Elsevier
  • Pages : 332 pages
  • ISBN : 0124166407
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKExplorations in Topology

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,

Topologies of the Flesh

Topologies of the Flesh
  • Author : Steven M. Rosen
  • Publisher : Ohio University Press
  • Release : 07 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.

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.

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

Explorations in Analysis, Topology, and Dynamics

Explorations in Analysis, Topology, and Dynamics
  • Author : Alejandro Uribe Ahumada,Daniel Alan Visscher
  • Publisher : Unknown Publisher
  • Release : 07 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

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.

The Knot Book

The Knot Book
  • Author : Colin Conrad Adams
  • Publisher : American Mathematical Soc.
  • Release : 07 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

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 : 07 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

Topological Circle Planes and Topological Quadrangles

Topological Circle Planes and Topological Quadrangles
  • Author : Andreas E Schroth
  • Publisher : CRC Press
  • Release : 03 November 1995
GET THIS BOOKTopological Circle Planes and Topological Quadrangles

This research note presents a complete treatment of the connection between topological circle planes and topological generalized quadrangles. The author uses this connection to provide a better understanding of the relationships between different types of circle planes and to solve a topological version of the problem of Apollonius. Topological Circle Planes and Topological Quadrangles begins with a foundation in classical circle planes and the real symmetric generalized quadrangle and the connection between them. This provides a solid base from which

Euler's Gem

Euler's Gem
  • Author : David S. Richeson
  • Publisher : Princeton University Press
  • Release : 15 April 2012
GET THIS BOOKEuler's Gem

Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron

Topology

Topology
  • Author : George McCarty
  • Publisher : Dover Publications
  • Release : 03 January 2006
GET THIS BOOKTopology

"Admirably meets the topology requirements for the pregraduate training of research mathematicians." — American Mathematical Monthly Topology, sometimes described as "rubber-sheet geometry," is crucial to modern mathematics and to many other disciplines — from quantum mechanics to sociology. This stimulating introduction to the field will give the student a familiarity with elementary point set topology, including an easy acquaintance with the line and the plane, knowledge often useful in graduate mathematics programs. The book is not a collection of topics, rather it

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function
  • Author : Yunkang Sui,Xirong Peng
  • Publisher : Butterworth-Heinemann
  • Release : 29 August 2017
GET THIS BOOKModeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers

Topology for Computing

Topology for Computing
  • Author : Afra J. Zomorodian
  • Publisher : Cambridge University Press
  • Release : 10 January 2005
GET THIS BOOKTopology for Computing

The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a