Explorations in Topology Book

Explorations in Topology


  • Author : David Gay
  • Publisher : Elsevier
  • Release Date : 2013-12-04
  • Genre: Mathematics
  • Pages : 332
  • ISBN 10 : 9780124166400

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Explorations in Topology Excerpt :

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  Map Coloring  Surfaces and Knots Book

Explorations in Topology Map Coloring Surfaces and Knots


  • Author : David Gay
  • Publisher : Elsevier
  • Release Date : 2017-11-13
  • Genre: Mathematics
  • Pages : 332
  • ISBN 10 : 0128101709

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Explorations in Topology Map Coloring Surfaces and Knots Excerpt :

"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 startIdeas unfold through the context of a storyline, and students become actively involvedThe 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 Analysis  Topology  and Dynamics  An Introduction to Abstract Mathematics Book

Explorations in Analysis Topology and Dynamics An Introduction to Abstract Mathematics


  • Author : Alejandro Uribe A.
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-05-21
  • Genre: Education
  • Pages : 178
  • ISBN 10 : 9781470452704

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Explorations in Analysis Topology and Dynamics An Introduction to Abstract Mathematics Excerpt :

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 analysis or as a more central component of a course. The themes of bisection, iteration, and nested intervals form a common thread throughout the text. The book is intended for students who have studied some calculus and want to gain a deeper understanding of the subject through an inquiry-based approach.

Heidegger and the Thinking of Place Book

Heidegger and the Thinking of Place


  • Author : Jeff Malpas
  • Publisher : MIT Press
  • Release Date : 2012-01-27
  • Genre: Philosophy
  • Pages : 388
  • ISBN 10 : 9780262300759

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Heidegger and the Thinking of Place Excerpt :

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.

Topologies of the Flesh Book

Topologies of the Flesh


  • Author : Steven M. Rosen
  • Publisher : Ohio University Press
  • Release Date : 2006
  • Genre: Philosophy
  • Pages : 335
  • ISBN 10 : 9780821416761

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Topologies of the Flesh Excerpt :

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 Book
Score: 3
From 1 Ratings

Topology for Analysis


  • Author : Albert Wilansky
  • Publisher : Courier Corporation
  • Release Date : 2008-10-17
  • Genre: Mathematics
  • Pages : 399
  • ISBN 10 : 9780486469034

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Topology for Analysis Excerpt :

Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.

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

Explorations in Analysis Topology and Dynamics An Introduction to Abstract Mathematics


  • Author : Alejandro Uribe A.
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-05-21
  • Genre: Education
  • Pages : 178
  • ISBN 10 : 9781470452704

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Explorations in Analysis Topology and Dynamics An Introduction to Abstract Mathematics Excerpt :

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 analysis or as a more central component of a course. The themes of bisection, iteration, and nested intervals form a common thread throughout the text. The book is intended for students who have studied some calculus and want to gain a deeper understanding of the subject through an inquiry-based approach.

Topological  in  Hegel Book

Topological in Hegel


  • Author : Borislav G. Dimitrov
  • Publisher : Borislav Dimitrov
  • Release Date : 2018-01-23
  • Genre: Philosophy
  • Pages : 500
  • ISBN 10 : 9781370071210

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Topological in Hegel Excerpt :

The aim of this book is to critically examine whether it is methodologically possible to combine mathematical rigor – topology with a systematic dialectical methodology in Hegel, and if so, to provide as result of my interpretation the outline of Hegel’s Analysis Situs, also with the proposed models (build on the topological manifold, cobordism, topological data analysis, persistent homology, simplicial complexes and graph theory, to provide an indication of how the merger of Hegel’s dialectical logic and topology may be instrumental to a systematic logician and of how a systematic dialectical logic perspective may help mathematical model builders.

Experiments in Topology Book

Experiments in Topology


  • Author : Stephen Barr
  • Publisher : Courier Corporation
  • Release Date : 2012-12-04
  • Genre: Mathematics
  • Pages : 210
  • ISBN 10 : 9780486152745

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Experiments in Topology Excerpt :

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 Book

Heidegger s Topology


  • Author : Jeff Malpas
  • Publisher : MIT Press
  • Release Date : 2008-08-29
  • Genre: Philosophy
  • Pages : 424
  • ISBN 10 : 9780262250337

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Heidegger s Topology Excerpt :

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.

Explorations in Geometry Book

Explorations in Geometry


  • Author : Anonim
  • Publisher : World Scientific
  • Release Date : 2010
  • Genre: Electronic books
  • Pages : null
  • ISBN 10 : 9789814295871

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Explorations in Geometry Excerpt :

Playing with Infinity Book
Score: 4
From 1 Ratings

Playing with Infinity


  • Author : Rózsa Péter
  • Publisher : Courier Corporation
  • Release Date : 2012-04-04
  • Genre: Mathematics
  • Pages : 288
  • ISBN 10 : 9780486150055

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Playing with Infinity Excerpt :

Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Network Fundamentals  CCNA Exploration Companion Guide Book

Network Fundamentals CCNA Exploration Companion Guide


  • Author : Mark Dye
  • Publisher : Cisco Press
  • Release Date : 2007-10-29
  • Genre: Computers
  • Pages : 560
  • ISBN 10 : 0132877430

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Network Fundamentals CCNA Exploration Companion Guide Excerpt :

Network Fundamentals, CCNA Exploration Companion Guide is the official supplemental textbook for the Network Fundamentals course in the Cisco® Networking Academy® CCNA® Exploration curriculum version 4. The course, the first of four in the new curriculum, is based on a top-down approach to networking. The Companion Guide, written and edited by Networking Academy instructors, is designed as a portable desk reference to use anytime, anywhere. The book’s features reinforce the material in the course to help you focus on important concepts and organize your study time for exams. New and improved features help you study and succeed in this course: Chapter objectives–Review core concepts by answering the focus questions listed at the beginning of each chapter. Key terms–Refer to the updated lists of networking vocabulary introduced and highlighted in context in each chapter. Glossary–Consult the comprehensive glossary with more than 250 terms. Check Your Understanding questions and answer key–Evaluate your readiness with the updated end-of-chapter questions that match the style of questions you see on the online course quizzes. The answer key explains each answer. Challenge questions and activities–Strive to ace more challenging review questions and activities designed to prepare you for the complex styles of questions you might see on the CCNA exam. The answer key explains each answer. How To–Look for this icon to study the steps you need to learn to perform certain tasks. Packet Tracer Activities– Explore networking concepts in activities interspersed throughout some chapters using Packet Tracer v4.1 developed by Cisco. The files for these activities are on the accompanying CD-ROM. Also available for the Network Fundamentals Course Network Fundamentals, CCNA Exploration Labs and Study Guide ISBN-10: 1-58713-203-6 ISBN-13: 978-1-58713-203-2 Companion CD-ROM **See instructions within the ebook on how to get access to the files from the CD-ROM that accom

Topology Through Inquiry Book

Topology Through Inquiry


  • Author : Michael Starbird
  • Publisher : American Mathematical Soc.
  • Release Date : 2020-09-10
  • Genre: Education
  • Pages : 313
  • ISBN 10 : 9781470462611

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Topology Through Inquiry Excerpt :

Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.