Explorations in Topology

Explorations in Topology
Author: David Gay
Publsiher: Elsevier
Total Pages: 332
Release: 2013-12-04
ISBN 10: 0124166407
ISBN 13: 9780124166400
Language: EN, FR, DE, ES & NL

Explorations in Topology Book Review:

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 Analysis Topology and Dynamics An Introduction to Abstract Mathematics

Explorations in Analysis  Topology  and Dynamics  An Introduction to Abstract Mathematics
Author: Alejandro Uribe A.,Daniel A. Visscher
Publsiher: American Mathematical Soc.
Total Pages: 178
Release: 2020-05-21
ISBN 10: 1470452707
ISBN 13: 9781470452704
Language: EN, FR, DE, ES & NL

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

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.

Topology for Analysis

Topology for Analysis
Author: Albert Wilansky
Publsiher: John Wiley & Sons Incorporated
Total Pages: 383
Release: 1970
ISBN 10: 9780898743432
ISBN 13: 0898743435
Language: EN, FR, DE, ES & NL

Topology for Analysis Book Review:

Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference. From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.

Topology for Analysis

Topology for Analysis
Author: Albert Wilansky
Publsiher: Courier Corporation
Total Pages: 383
Release: 2008-10-17
ISBN 10: 0486469034
ISBN 13: 9780486469034
Language: EN, FR, DE, ES & NL

Topology for Analysis Book Review:

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.

Heidegger and the Thinking of Place

Heidegger and the Thinking of Place
Author: Jeff Malpas
Publsiher: MIT Press
Total Pages: 388
Release: 2017-03-03
ISBN 10: 0262533677
ISBN 13: 9780262533676
Language: EN, FR, DE, ES & NL

Heidegger and the Thinking of Place Book Review:

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.

Explorations in Algebra and Topology

Explorations in Algebra and Topology
Author: Itamar Gal
Publsiher: Unknown
Total Pages: 294
Release: 2016
ISBN 10: 1928374650XXX
ISBN 13: OCLC:973338543
Language: EN, FR, DE, ES & NL

Explorations in Algebra and Topology Book Review:

Three independent investigations are expounded, two in the domain of algebra and one in the domain of topology. We first consider algebraic extensions generated by elements of bounded degree and consider the question of whether or not the finite sub-extensions of such fields can be bounded. We give partial results which will hopefully lead to a full classification in the future. These results are fundamentally group theoretic but have applications to number theory. Next we develop the notational system originated by Conway and Sloane for working with quadratic forms over the 2-adic integers and prove its correctness. This provides a proof which was missing from the literature. Finally we study distributions of persistent homology barcodes obtained by sampling finite point sets from metric measure spaces. The main result here is the derivation of robust statistics for topological data analysis.

Topologies of the Flesh

Topologies of the Flesh
Author: Steven M. Rosen
Publsiher: Ohio University Press
Total Pages: 335
Release: 2006
ISBN 10: 0821416766
ISBN 13: 9780821416761
Language: EN, FR, DE, ES & NL

Topologies of the Flesh Book Review:

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.

Experiments in Topology

Experiments in Topology
Author: Stephen Barr
Publsiher: Courier Corporation
Total Pages: 210
Release: 2012-12-04
ISBN 10: 048615274X
ISBN 13: 9780486152745
Language: EN, FR, DE, ES & NL

Experiments in Topology Book Review:

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.

Topological in Hegel

Topological  in  Hegel
Author: Borislav G. Dimitrov
Publsiher: Borislav Dimitrov
Total Pages: 500
Release: 2018-01-23
ISBN 10: 1370071213
ISBN 13: 9781370071210
Language: EN, FR, DE, ES & NL

Topological in Hegel Book Review:

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.

Heidegger s Topology

Heidegger s Topology
Author: Jeff Malpas
Publsiher: MIT Press
Total Pages: 424
Release: 2008-08-29
ISBN 10: 0262250330
ISBN 13: 9780262250337
Language: EN, FR, DE, ES & NL

Heidegger s Topology Book Review:

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.

Topology Exploration with Hierarchical Landscapes

Topology Exploration with Hierarchical Landscapes
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2012
ISBN 10: 1928374650XXX
ISBN 13: OCLC:1066355340
Language: EN, FR, DE, ES & NL

Topology Exploration with Hierarchical Landscapes Book Review:

Exploration of Quantum Transport Phenomena via Engineering Emergent Magnetic Fields in Topological Magnets

Exploration of Quantum Transport Phenomena via Engineering Emergent Magnetic Fields in Topological Magnets
Author: Yukako Fujishiro
Publsiher: Springer Nature
Total Pages: 135
Release: 2022
ISBN 10: 9811672938
ISBN 13: 9789811672934
Language: EN, FR, DE, ES & NL

Exploration of Quantum Transport Phenomena via Engineering Emergent Magnetic Fields in Topological Magnets Book Review:

An Exploration of Topology with the Goal of Understanding the Poincar Conjecture Or What s So Special about 3 Dimensions Anyway

An Exploration of Topology with the Goal of Understanding the Poincar   Conjecture  Or   What s So Special about 3 Dimensions  Anyway
Author: Devon C. McNare
Publsiher: Unknown
Total Pages: 36
Release: 1992
ISBN 10: 1928374650XXX
ISBN 13: OCLC:666040314
Language: EN, FR, DE, ES & NL

An Exploration of Topology with the Goal of Understanding the Poincar Conjecture Or What s So Special about 3 Dimensions Anyway Book Review:

Topology Through Inquiry

Topology Through Inquiry
Author: Michael Starbird,Francis Su
Publsiher: American Mathematical Soc.
Total Pages: 313
Release: 2020-09-10
ISBN 10: 1470462613
ISBN 13: 9781470462611
Language: EN, FR, DE, ES & NL

Topology Through Inquiry Book Review:

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.

Heidegger s Topology

Heidegger s Topology
Author: Jeff Malpas
Publsiher: MIT Press
Total Pages: 424
Release: 2008-08-29
ISBN 10: 026263368X
ISBN 13: 9780262633680
Language: EN, FR, DE, ES & NL

Heidegger s Topology Book Review:

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.

Network Fundamentals CCNA Exploration Companion Guide

Network Fundamentals  CCNA Exploration Companion Guide
Author: Mark Dye,Rick McDonald,Antoon Rufi
Publsiher: Cisco Press
Total Pages: 560
Release: 2007-10-29
ISBN 10: 9780132877435
ISBN 13: 0132877430
Language: EN, FR, DE, ES & NL

Network Fundamentals CCNA Exploration Companion Guide Book Review:

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 accompanies this print book.** The CD-ROM provides many useful tools and information to support your education: Packet Tracer Activity exercise files v4.1 VLSM Subnetting Chart Structured Cabling Exploration Supplement Taking Notes: a .txt file of the chapter objectives A Guide to Using a Networker’s Journal booklet IT Career Information Tips on Lifelong Learning in Networking This book is part of the Cisco Networking Academy Series from Cisco Press®. The products in this series support and complement the Cisco Networking Academy online curriculum.

Explorations in Geometry

Explorations in Geometry
Author: Anonim
Publsiher: World Scientific
Total Pages: 135
Release: 2010
ISBN 10: 9814295876
ISBN 13: 9789814295871
Language: EN, FR, DE, ES & NL

Explorations in Geometry Book Review:

Mineral Exploration

Mineral Exploration
Author: Swapan Kumar Haldar
Publsiher: Elsevier
Total Pages: 378
Release: 2018-07-14
ISBN 10: 0128140232
ISBN 13: 9780128140239
Language: EN, FR, DE, ES & NL

Mineral Exploration Book Review:

Mineral Exploration: Principles and Applications, Second Edition, presents an interdisciplinary approach on the full scope of mineral exploration. Everything from grass root discovery, objective base sequential exploration, mining, beneficiation, extraction, economic evaluation, policies and acts, rules and regulations, sustainability, and environmental impacts is covered. Each topic is presented using theoretical approaches that are followed by specific applications that can be used in the field. This new edition features updated references, changes to rules and regulations, and new sections on oil and gas exploration and classification, air-core drilling, and smelting and refining techniques. This book is a key resource for both academics and professionals, offering both practical and applied knowledge in mineral exploration. Offers important updates to the previous edition, including sections on the cyclical nature of mineral industry, exploration for oil and gas, CHIM-electro-geochemical survey, air-core drilling, classification of oil and gas resources, smelting, and refining technologies Presents global case studies that allow readers to quickly apply exploration concepts to real-world scenarios Includes 385 illustrations and photographs to aid the reader in understanding key procedures and applications

Design Space Exploration and Resource Management of Multi Many Core Systems

Design Space Exploration and Resource Management of Multi Many Core Systems
Author: Amit Kumar Singh,Amlan Ganguly
Publsiher: MDPI
Total Pages: 218
Release: 2021-05-10
ISBN 10: 3036508767
ISBN 13: 9783036508764
Language: EN, FR, DE, ES & NL

Design Space Exploration and Resource Management of Multi Many Core Systems Book Review:

The increasing demand of processing a higher number of applications and related data on computing platforms has resulted in reliance on multi-/many-core chips as they facilitate parallel processing. However, there is a desire for these platforms to be energy-efficient and reliable, and they need to perform secure computations for the interest of the whole community. This book provides perspectives on the aforementioned aspects from leading researchers in terms of state-of-the-art contributions and upcoming trends.

Math and Art

Math and Art
Author: Sasho Kalajdzievski
Publsiher: CRC Press
Total Pages: 398
Release: 2021-09-27
ISBN 10: 0429664427
ISBN 13: 9780429664427
Language: EN, FR, DE, ES & NL

Math and Art Book Review:

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and approximately 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganized and expanded chapters More use of color throughout