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Explorations in Topology

Explorations in Topology
Map Coloring, Surfaces and Knots

by David Gay

  • Publisher : Elsevier
  • Release : 2013-12-04
  • Pages : 332
  • ISBN : 0124166407
  • Language : En, Es, Fr & De
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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

Heidegger and the Thinking of Place

Heidegger and the Thinking of Place
Explorations in the Topology of Being

by Jeff Malpas

  • Publisher : MIT Press
  • Release : 2017-03-03
  • Pages : 388
  • ISBN : 0262533677
  • Language : En, Es, Fr & De
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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, exemplifies the practice of "philosophical topology." In Heidegger and the Thinking of Place, Malpas examines the topological aspects of Heidegger's thought and offers a broader elaboration of the philosophical significance of place. Doing so, he provides a distinct and productive approach to Heidegger as well as a new reading of other key figures--notably Kant, Aristotle, Gadamer, and Davidson, but also Benjamin, Arendt, and Camus. Malpas, expanding arguments he made in his earlier book Heidegger's Topology (MIT Press, 2007), discusses such topics as the role of place in philosophical thinking, the topological character of the transcendental, the convergence of Heideggerian topology with Davidsonian triangulation, the necessity of mortality in the possibility of human life, the role of materiality in the working of art, the significance of nostalgia, and the nature of philosophy as beginning in wonder. Philosophy, Malpas argues, begins in wonder and begins in place and the experience of place. The place of wonder, of philosophy, of questioning, he writes, is the very topos of thinking.

Intuitive Combinatorial Topology

Intuitive Combinatorial Topology
A Book

by Vladimir Grigorvich·Bolt雐靉nski鎖,V.G. Boltyanskii,V.A. Efremovich

  • Publisher : Springer Science & Business Media
  • Release : 2001-03-30
  • Pages : 141
  • ISBN : 9780387951140
  • Language : En, Es, Fr & De
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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.

Explorations in Analysis, Topology, and Dynamics

Explorations in Analysis, Topology, and Dynamics
An Introduction to Abstract Mathematics

by Alejandro Uribe Ahumada,Daniel Alan Visscher

  • Publisher : Unknown Publisher
  • Release : 2020
  • Pages : 329
  • ISBN : 9781470456856
  • Language : En, Es, Fr & De
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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 spaces) and discrete dynamical systems can be used as excursions within a study of a

Topology for Analysis

Topology for Analysis
A Book

by Albert Wilansky

  • Publisher : Dover Publications
  • Release : 2013-12-23
  • Pages : 400
  • ISBN : 9780486788951
  • Language : En, Es, Fr & De
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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.

Topologies of the Flesh

Topologies of the Flesh
A Multidimensional Exploration of the Lifeworld

by Steven M. Rosen

  • Publisher : Ohio University Press
  • Release : 2006
  • Pages : 335
  • ISBN : 0821416766
  • Language : En, Es, Fr & De
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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.

Explorations in the Complexity of Possible Life

Explorations in the Complexity of Possible Life
Abstracting and Synthesizing the Principles of Living Systems : Proceedings of the 7th German Workshop on Artificial Life, July 26-28, 2006, Jena, Germany

by Stefan Artmann

  • Publisher : IOS Press
  • Release : 2006
  • Pages : 147
  • ISBN : 9783898380768
  • Language : En, Es, Fr & De
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A Comparative Exploration of the Topology and Iconography of Labyrinthine Symbols in Western Culture

A Comparative Exploration of the Topology and Iconography of Labyrinthine Symbols in Western Culture
Towards an Integration of Philosophy, Mathematics and History

by Tessa Morrison (PhD.)

  • Publisher : Unknown Publisher
  • Release : 2003
  • Pages : 704
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Multi-Robot Exploration for Environmental Monitoring

Multi-Robot Exploration for Environmental Monitoring
The Resource Constrained Perspective

by Kshitij Tiwari,Nak-Young Chong

  • Publisher : Academic Press
  • Release : 2019-11
  • Pages : 290
  • ISBN : 0128176075
  • Language : En, Es, Fr & De
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Multi-robot Exploration for Environmental Monitoring: The Resource Constrained Perspective provides readers with the necessary robotics and mathematical tools required to realize the correct architecture. The architecture discussed in the book is not confined to environment monitoring, but can also be extended to search-and-rescue, border patrolling, crowd management and related applications. Several law enforcement agencies have already started to deploy UAVs, but instead of using teleoperated UAVs this book proposes methods to fully automate surveillance missions. Similarly, several government agencies like the US-EPA can benefit from this book by automating the process. Several challenges when deploying such models in real missions are addressed and solved, thus laying stepping stones towards realizing the architecture proposed. This book will be a great resource for graduate students in Computer Science, Computer Engineering, Robotics, Machine Learning and Mechatronics. Analyzes the constant conflict between machine learning models and robot resources Presents a novel range estimation framework tested on real robots (custom built and commercially available)

Heidegger's Topology

Heidegger's Topology
Being, Place, World

by Jeff Malpas

  • Publisher : MIT Press
  • Release : 2008-08-29
  • Pages : 424
  • ISBN : 0262250330
  • Language : En, Es, Fr & De
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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 in the world, in "place". Heidegger's concepts of being and place, he argues, are inextricably bound together. Malpas follows the development of Heidegger's topology through three stages: the early period of the 1910s and 1920s, through Being and Time, centered on the "meaning of being"; the middle period of the 1930s into the 1940s, centered on the "truth of being"; and the late period from the mid-1940s on, when the "place of being" comes to the fore. (Malpas also challenges the widely repeated arguments that link Heidegger's notions of place and belonging to his entanglement with Nazism.) The significance of Heidegger as a thinker of place, Malpas claims, lies not only in Heidegger's own investigations but also in the way that spatial and topographic thinking has flowed from Heidegger's work into that of other key thinkers of the past 60 years.

Beginning Topology

Beginning Topology
A Book

by Sue Goodman

  • Publisher : Amer Mathematical Society
  • Release : 2005
  • Pages : 236
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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 learn some of the major ideas and results in the field, do explorations and fairly elementary proofs, and become aware of some recent questions. By presenting a wide range of topics, exercises, and examples, Goodman creates an interactive and enjoyable atmosphere in which to learn topology.

Topology Exploration with Hierarchical Landscapes

Topology Exploration with Hierarchical Landscapes
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2012
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Synergetics; Explorations in the Geometry of Thinking

Synergetics; Explorations in the Geometry of Thinking
A Book

by Richard Buckminster Fuller,Richard Fuller,E. J. Applewhite,Arthur Lee Loeb

  • Publisher : New York : Macmillan
  • Release : 1975
  • Pages : 876
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Using an inspired combination of geometric logic and metaphors from familiar human experience, Bucky invites readers to join him on a trip through a four-dimensional Universe, where concepts as diverse as entropy, Einstein's relativity equations, and the meaning of existence become clear, understandable, and immediately involving. In his own words: "Dare to be naive... It is one of our most exciting discoveries that local discovery leads to a complex of further discoveries."

New Scientific Applications of Geometry and Topology

New Scientific Applications of Geometry and Topology
A Book

by De Witt L. Sumners,Nicholas R. Cozzarelli

  • Publisher : American Mathematical Soc.
  • Release : 1992
  • Pages : 250
  • ISBN : 9780821855027
  • Language : En, Es, Fr & De
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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 on these intriguing new connections. There are articles by a chemist and a biologist about mathematics, and four articles by mathematicians writing about science. All are expository and require no specific knowledge of the science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course.

Differential Topology

Differential Topology
A Book

by Victor Guillemin,Alan Pollack

  • Publisher : American Mathematical Soc.
  • Release : 2010
  • Pages : 222
  • ISBN : 0821851934
  • Language : En, Es, Fr & De
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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 of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.

A First Course in Geometric Topology and Differential Geometry

A First Course in Geometric Topology and Differential Geometry
A Book

by Ethan D. Bloch

  • Publisher : Springer Science & Business Media
  • Release : 1997
  • Pages : 421
  • ISBN : 9780817638405
  • Language : En, Es, Fr & De
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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.

Journal of Seismic Exploration

Journal of Seismic Exploration
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2004
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Ichthyological Exploration of Freshwaters

Ichthyological Exploration of Freshwaters
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2008
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Geometry, Topology and Dynamics of Character Varieties

Geometry, Topology and Dynamics of Character Varieties
A Book

by William Goldman,Caroline Series,Ser Peow Tan

  • Publisher : World Scientific
  • Release : 2012
  • Pages : 349
  • ISBN : 9814401358
  • Language : En, Es, Fr & De
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This book aims to describe, for readers uneducated in science, the development of humanity's desire to know and understand the world around us through the various stages of its development to the present, when science is almost universally recognized - at least in the Western world - as the most reliable way of knowing. The book describes the history of the large-scale exploration of the surface of the earth by sea, beginning with the Vikings and the Chinese, and of the unknown interiors of the American and African continents by foot and horseback. After the invention of the telescope, visual exploration of the surfaces of the Moon and Mars were made possible, and finally a visit to the Moon. The book then turns to our legacy from the ancient Greeks of wanting to understand rather than just know, and why the scientific way of understanding is valued. For concreteness, it relates the lives and accomplishments of six great scientists, four from the nineteenth century and two from the twentieth. Finally, the book explains how chemistry came to be seen as the most basic of the sciences, and then how physics became the most fundamental.

An Exploration of Campus Topology and Women Students

An Exploration of Campus Topology and Women Students
A Query of Fitness

by Cathy J. Stilwell

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 350
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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