abstract homotopy and simple homotomy theory

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Whitaker S Books In Print

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ISBN : UOM:39015045631895
Genre : Bibliography, National
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The Minkowski Multidimensional Problem

Author : Alekseĭ Vasilʹevich Pogorelov
ISBN : UOM:39015024350046
Genre : Mathematics
File Size : 73. 55 MB
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1991 Mathematics Subject Classification

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ISBN : OCLC:1012000082
Genre : Mathematics
File Size : 31. 34 MB
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Abstract Homotopy And Simple Homotopy Theory

Author : K H Kamps
ISBN : 9789814502559
Genre : Mathematics
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The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions, enables not only a unified development of many examples of known homotopy theories but also reveals the inner working of the classical spatial theory. This demonstrates the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's Iemma, Dold's theorem on fibre homotopy equivalences, and homotopy coherence theory). Contents:Abstract Homotopy TheoryHomotopical AlgebraCase StudiesGroupoid Enrichment and Track HomotopyHomotopy CoherenceAbstract Simple Homotopy TheoriesInjective Simple Homotopy Theories Readership: Algebraic topologists, category theorists, both at postgraduate and research level. keywords:Abstract Homotopy Theory;Simple Homotopy Theory;Additive Homotopy Theory;Homotopical Algebra;Homotopy Coherence;Cylinder Functor;Quillen Model Category;Cubical Sets;Simplicial Sets;Groupoids;Simple Homotopy Equivalences;Mapping Cylinder Calculus;Cubical Complex “This book provides a thorough and well-written guide to abstract homotopy theory. It could well serve as a graduate text in this topic, or could be studied independently by someone with a background in basic algebra, topology, and category theory.” Mathematical Reviews

Round Round Round

Author : Tana Hoban
ISBN : UOM:39015011505453
Genre : Juvenile Nonfiction
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Geometry

Author : Phares G. O'Daffer
ISBN : 0201217953
Genre : Mathematics
File Size : 79. 95 MB
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This second edition effectively prepares education students, elementary or secondary school teachers, or college instructors to teach geometry. It can also serve as a useful reference for anyone in these fields. This book can also serve as a textbook in an elementary plane geometry course having an investigative emphasis. The text explores geometric concepts inductively first and then presents deductive proof. Students are encouraged to explore geometric ideas using constructions, laboratory materials, and various other investigative techniques. The text promotes student interaction by emphasizing small group investigation. This edition helps teachers implement the latest NCTM standards by addressing the development of critical thinking, the use of technology to explore geometric relationships, the use of geometry as a medium for problem solving, and the importance of applications in geometry.

Fuzzy Systems Engineering

Author : Witold Pedrycz
ISBN : 0470168951
Genre : Technology & Engineering
File Size : 42. 58 MB
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A self-contained treatment of fuzzy systems engineering, offering conceptual fundamentals, design methodologies, development guidelines, and carefully selected illustrative material Forty years have passed since the birth of fuzzy sets, in which time a wealth of theoretical developments, conceptual pursuits, algorithmic environments, and other applications have emerged. Now, this reader-friendly book presents an up-to-date approach to fuzzy systems engineering, covering concepts, design methodologies, and algorithms coupled with interpretation, analysis, and underlying engineering knowledge. The result is a holistic view of fuzzy sets as a fundamental component of computational intelligence and human-centric systems. Throughout the book, the authors emphasize the direct applicability and limitations of the concepts being discussed, and historical and bibliographical notes are included in each chapter to help readers view the developments of fuzzy sets from a broader perspective. A radical departure from current books on the subject, Fuzzy Systems Engineering presents fuzzy sets as an enabling technology whose impact, contributions, and methodology stretch far beyond any specific discipline, making it applicable to researchers and practitioners in engineering, computer science, business, medicine, bioinformatics, and computational biology. Additionally, three appendices and classroom-ready electronic resources make it an ideal textbook for advanced undergraduate- and graduate-level courses in engineering and science.

Applied Combinatorics 6th Edition

Author : Alan Tucker
ISBN : 9781118210116
Genre : Mathematics
File Size : 81. 40 MB
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The new 6th edition of Applied Combinatorics builds on the previous editions with more in depth analysis of computer systems in order to help develop proficiency in basic discrete math problem solving. As one of the most widely used books in combinatorial problems, this edition explains how to reason and model combinatorically while stressing the systematic analysis of different possibilities, exploration of the logical structure of a problem, and ingenuity. Although important uses of combinatorics in computer science, operations research, and finite probability are mentioned, these applications are often used solely for motivation. Numerical examples involving the same concepts use more interesting settings such as poker probabilities or logical games.

Analytical Geometry For Beginners Classic Reprint

Author : Alfred Baker
ISBN : 0266222110
Genre : Mathematics
File Size : 28. 37 MB
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Excerpt from Analytical Geometry for Beginners Several of the articles in the chapters on the parabola and ellipse will be found to be almost verbatim copies of the corresponding articles in the chapter on the circle, the object being to impress on the student the essential uniformity of the methods employed. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Coordinate Geometry Illustrated

Author : Henry Burchard Fine
ISBN : 1933998520
Genre : Mathematics
File Size : 44. 61 MB
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COORDINATE GEOMETRY IN A PLANE: Coordinates - The Straight Line - The Circle - The Parabola - The Ellipse - The Hyperbola - Transformation Of Coordinates - The General Equation Of The Second Degree - Sections Of A Cone - Systems Of Conics - Tangents And Polars Of The Conic - Polar Coordinates - Equations And Graphics Of Certain Curves - Problems On Loci - COORDINATE GEOMETRY IN SPACE: Coordinates And Direction Cosines - Planes And Straight Lines - The Shape Of Conicoids - Confocals - Polar Coordinates - Transformation Of Coordinates - General Equation Of The Second Degree - Certain Algebraic Symbols, Definitions, And Theorems - Certain Trigonometric Definitions And Formulas - Derivatives And Partial Derivatives - Four-Place Logarithms From 1.0 To 9.9 - Radians And Natural Trigonometric Functions For Intervals Of Five Degrees - Greek Alphabet

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