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Relatuhedron
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Book Synopsis Graph Theory Applications by : L.R. Foulds
Download or read book Graph Theory Applications written by L.R. Foulds and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.
Book Synopsis 50th Anniversary of Electron Counting Paradigms for Polyhedral Molecules by : D. Michael P. Mingos
Download or read book 50th Anniversary of Electron Counting Paradigms for Polyhedral Molecules written by D. Michael P. Mingos and published by Springer Nature. This book was released on 2022-01-01 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 50 Year Anniversary of the development of electron counting paradigms for polyhedral molecules is celebrated in two volumes of Structure and Bonding. Volume 1 covers the historical development, theoretical models and applications to boranes and metalloboranes.
Book Synopsis Fluxional Organometallic and Coordination Compounds by : Marcel Gielen
Download or read book Fluxional Organometallic and Coordination Compounds written by Marcel Gielen and published by John Wiley & Sons. This book was released on 2005-01-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series offers leading contributions by well-known chemists reviewing the state of the art of this wide research area. Physical organometallic chemistry aims to develop new insights and to promote novel interest and investigations applicable to organometallic chemistry. This volume focuses on several important topics on fluxionality in organometallic and coordination chemistry, reviewed by experts in each of the respective fields. It is intended to provide both authoritative concepts and stimulating ideas in order to tackle dynamics from different angles, aiming at an interdisciplinary approach. The fascinating fluxionality of metal-ligand interactions has been in the centre of interest ever since modern coordination and organometallic chemistry started, and has expanded towards bioinorganic chemistry, catalysis and materials sciences. Provides information on some of the most relevant physical methods for studying dynamic processes Presents numerous examples of dynamic behavior, demonstrating the efficiency of the respective method and stimulating further applications Connects main group, transition metal and solid state chemistry in the question for dynamics
Book Synopsis Graph Algorithms and Applications 2 by : Giuseppe Liotta
Download or read book Graph Algorithms and Applications 2 written by Giuseppe Liotta and published by World Scientific. This book was released on 2004-05-19 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Volumes 4 and 5 of the Journal of Graph Algorithms and Applications (JGAA). The first book of this series, Graph Algorithms and Applications 1, published in March 2002, contains Volumes 1–3 of JGAA. JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. The journal is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http://jgaa.info/. Graph Algorithms and Applications 2 presents contributions from prominent authors and includes selected papers from the Dagstuhl Seminar on Graph Algorithms and Applications and the Symposium on Graph Drawing in 1998. All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents:Approximations of Weighted Independent Set and Hereditary Subset Problems (M M Halldórsson)Approximation Algorithms for Some Graph Partitioning Problems (G He et al.)Geometric Thickness of Complete Graphs (M B Dillencourt et al.)Techniques for the Refinement of Orthogonal Graph Drawings (J M Six et al.)Navigating Clustered Graphs Using Force-Directed Methods (P Eades & M L Huang)Clustering in Trees: Optimizing Cluster Sizes and Number of Subtrees (S E Hambrusch et al.)Planarizing Graphs — A Survey and Annotated Bibliography (A Liebers)Fully Dynamic 3-Dimensional Orthogonal Graph Drawing (M Closson et al.)1-Bend 3-D Orthogonal Box-Drawings: Two Open Problems Solved (T Biedl)Computing an Optimal Orientation of a Balanced Decomposition Tree for Linear Arrangement Problems (R Bar-Yehuda et al.)New Bounds for Oblivious Mesh Routing (K Iwama et al.)Connectivity of Planar Graphs (H de Fraysseix & P O de Mendez)and other papers Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory. Keywords:Graphs;Networks;Data Structures;Algorithm Engineering;Scheduling
Book Synopsis Divided Spheres by : Edward S. Popko
Download or read book Divided Spheres written by Edward S. Popko and published by CRC Press. This book was released on 2021-08-19 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the previous edition [. . .] Dr. Popko’s elegant new book extends both the science and the art of spherical modeling to include Computer-Aided Design and applications, which I would never have imagined when I started down this fascinating and rewarding path. His lovely illustrations bring the subject to life for all readers, including those who are not drawn to the mathematics. This book demonstrates the scope, beauty, and utility of an art and science with roots in antiquity. [. . .] Anyone with an interest in the geometry of spheres, whether a professional engineer, an architect or product designer, a student, a teacher, or simply someone curious about the spectrum of topics to be found in this book, will find it helpful and rewarding. – Magnus Wenninger, Benedictine Monk and Polyhedral Modeler Ed Popko's comprehensive survey of the history, literature, geometric, and mathematical properties of the sphere is the definitive work on the subject. His masterful and thorough investigation of every aspect is covered with sensitivity and intelligence. This book should be in the library of anyone interested in the orderly subdivision of the sphere. – Shoji Sadao, Architect, Cartographer and lifelong business partner of Buckminster Fuller Edward Popko's Divided Spheres is a "thesaurus" must to those whose academic interest in the world of geometry looks to greater coverage of synonyms and antonyms of this beautiful shape we call a sphere. The late Buckminster Fuller might well place this manuscript as an all-reference for illumination to one of nature's most perfect inventions. – Thomas T. K. Zung, Senior Partner, Buckminster Fuller, Sadao, & Zung Architects. This first edition of this well-illustrated book presented a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explained the principles of spherical design and the three classic methods of subdivision based on geometric solids (polyhedra). This thoroughly edited new edition does all that, while also introducing new techniques that extend the class concept by relaxing the triangulation constraint to develop two new forms of optimized hexagonal tessellations. The objective is to generate spherical grids where all edge (or arc) lengths or overlap ratios are equal. New to the Second Edition New Foreword by Joseph Clinton, lifelong Buckminster Fuller collaborator A new chapter by Chris Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology, suggesting ways of comparing their levels of optimization An expanded history of the evolution of spherical subdivision New applications of spherical design in science, product design, architecture, and entertainment New geodesic algorithms for grid optimization New full-color spherical illustrations created using DisplaySphere to aid readers in visualizing and comparing the various tessellations presented in the book Updated Bibliography with references to the most recent advancements in spherical subdivision methods
Book Synopsis Geometry and Symmetry by : L. Christine Kinsey
Download or read book Geometry and Symmetry written by L. Christine Kinsey and published by John Wiley & Sons. This book was released on 2010-04-19 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.
Download or read book Zintl Ions written by Thomas F. Fässler and published by Springer. This book was released on 2011-05-11 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Bruce King: Structure and Bonding in Zintl Ions and Related Main Group Element Clusters Stefanie Gärtner, Nikolaus Korber: Polyanions of Group 14 and Group 15 Elements in Alkali and Alkaline Earth Metal Solid State Compounds and Solvate Structures Bryan Eichhorn, Sanem Kocak: Dynamic Properties of the Group 14 Zintl Ions and Their Derivatives Thomas F. Fässler: Relationships between soluble Zintl anions, ligand-stabilized cage compounds, and intermetalloid clusters of tetrel (Si – Pb) and pentel (P – Bi) elements Gerasimos S. Armatas, Mercouri Kanatzidis: Germanium-Based Porous Semiconductors from Molecular Zintl Anions
Book Synopsis Inorganic Chemistry by : Catherine E. Housecroft
Download or read book Inorganic Chemistry written by Catherine E. Housecroft and published by Pearson Education. This book was released on 2008 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a student text, Inorganic Chemistry focuses on teaching the underlying principles of inorganic chemistry in a modern and relevant way.
Book Synopsis Principles of Inorganic Chemistry by : Brian W. Pfennig
Download or read book Principles of Inorganic Chemistry written by Brian W. Pfennig and published by John Wiley & Sons. This book was released on 2015-03-30 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at senior undergraduates and first-year graduate students, this book offers a principles-based approach to inorganic chemistry that, unlike other texts, uses chemical applications of group theory and molecular orbital theory throughout as an underlying framework. This highly physical approach allows students to derive the greatest benefit of topics such as molecular orbital acid-base theory, band theory of solids, and inorganic photochemistry, to name a few. Takes a principles-based, group and molecular orbital theory approach to inorganic chemistry The first inorganic chemistry textbook to provide a thorough treatment of group theory, a topic usually relegated to only one or two chapters of texts, giving it only a cursory overview Covers atomic and molecular term symbols, symmetry coordinates in vibrational spectroscopy using the projection operator method, polyatomic MO theory, band theory, and Tanabe-Sugano diagrams Includes a heavy dose of group theory in the primary inorganic textbook, most of the pedagogical benefits of integration and reinforcement of this material in the treatment of other topics, such as frontier MO acid--base theory, band theory of solids, inorganic photochemistry, the Jahn-Teller effect, and Wade's rules are fully realized Very physical in nature compare to other textbooks in the field, taking the time to go through mathematical derivations and to compare and contrast different theories of bonding in order to allow for a more rigorous treatment of their application to molecular structure, bonding, and spectroscopy Informal and engaging writing style; worked examples throughout the text; unanswered problems in every chapter; contains a generous use of informative, colorful illustrations
Author :Thomas Q. Sibley Publisher :The Mathematical Association of America ISBN 13 :1939512085 Total Pages :586 pages Book Rating :4.9/5 (395 download)
Book Synopsis Thinking Geometrically by : Thomas Q. Sibley
Download or read book Thinking Geometrically written by Thomas Q. Sibley and published by The Mathematical Association of America. This book was released on 2015-08-14 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Geometrically: A Survey of Geometries is a well written and comprehensive survey of college geometry that would serve a wide variety of courses for both mathematics majors and mathematics education majors. Great care and attention is spent on developing visual insights and geometric intuition while stressing the logical structure, historical development, and deep interconnectedness of the ideas. Students with less mathematical preparation than upper-division mathematics majors can successfully study the topics needed for the preparation of high school teachers. There is a multitude of exercises and projects in those chapters developing all aspects of geometric thinking for these students as well as for more advanced students. These chapters include Euclidean Geometry, Axiomatic Systems and Models, Analytic Geometry, Transformational Geometry, and Symmetry. Topics in the other chapters, including Non-Euclidean Geometry, Projective Geometry, Finite Geometry, Differential Geometry, and Discrete Geometry, provide a broader view of geometry. The different chapters are as independent as possible, while the text still manages to highlight the many connections between topics. The text is self-contained, including appendices with the material in Euclid’s first book and a high school axiomatic system as well as Hilbert’s axioms. Appendices give brief summaries of the parts of linear algebra and multivariable calculus needed for certain chapters. While some chapters use the language of groups, no prior experience with abstract algebra is presumed. The text will support an approach emphasizing dynamical geometry software without being tied to any particular software.
Book Synopsis Handbook Of Boron Science: With Applications In Organometallics, Catalysis, Materials And Medicine (In 4 Volumes) by : Narayan S Hosmane
Download or read book Handbook Of Boron Science: With Applications In Organometallics, Catalysis, Materials And Medicine (In 4 Volumes) written by Narayan S Hosmane and published by World Scientific. This book was released on 2018-08-07 with total page 1051 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boron science features in numerous fields including organic chemistry, organometallic chemistry and medicine. Boron is unique in all aspects of science and engineering and has made a significant impact in our daily lives through its use in fertilizers, germicides, fungicides, soaps, detergents, cancer drugs as well as many household glassware utensils, ceramics and cell phone windows. These volumes bring together an array of internationally renowned scientists to discuss the very latest developments in the application of boron in a broad range of disciplines. This multi-reference work describes the topic by appointing leading researchers to write on current developments in boron science, showcasing its importance to the four separate areas described in each volume: Organometallic Chemistry, Catalysis, Materials Chemistry and Medicine.Written to cover the full range of applications and innovations in boron science, this all-encompassing work offers us a one-stop reference compiled by world-leading researchers and practitioners of the subject, making it perfect for undergraduate and graduate students of chemistry, and researchers and practitioners interested in their professional development.
Download or read book Polyhedra written by Anthony Pugh and published by Univ of California Press. This book was released on 1976 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Knowledge Based Hybrid Systems by : István Mezgár
Download or read book Knowledge Based Hybrid Systems written by István Mezgár and published by North Holland. This book was released on 1993 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge based systems have emerged as an efficient solution for complex problems in many areas, including manufacturing and engineering. There are various situations, however, where neither symbolic procedures nor algorithmic routines can alone provide the answer. A balanced mixture of causal and heuristic processing modules offers a more efficient and comprehensive approach in complex cases. The different architecture types using the combination of these techniques are known as knowledge based hybrid systems (KBHS).This volume presents a comprehensive discussion of the interesting results achieved using KBHS. The papers, both practical and theoretical, are divided into seven major sections, each covering a separate topic: Hybrid Systems for CIM Applications, Knowledge Based Product Design, Coupling Learning with Other Paradigms, Problems of Manufacturing Automation, Hybrid Systems in Scheduling, Knowledge Based Simulation, and Hybrid Techniques in Monitoring and Maintenance.
Book Synopsis Mathematical Reasoning by : Raymond Nickerson
Download or read book Mathematical Reasoning written by Raymond Nickerson and published by Taylor & Francis. This book was released on 2011-02-25 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating.
Download or read book Chemical Topology written by D Bonchev and published by CRC Press. This book was released on 1999-04-23 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is becoming increasingly important in chemistry because of its rapidly growing number of applications. Here, its many uses are reviewed and the authors anticipate what future developments might bring. This work shows how significant new insights can be gained by representing molecular species as topological structures known as topographs. The text explores carbon structures, establishing how the stability of fullerene species can be accounted for and also predicting which fullerenes will be most stable. It is pointed out that molecular topology, rather than molecular geometry, characterizes molecular shape and various tools for shape characterization are described. Several of the fascinating ideas that arise from regarding topology as a unifying principle in chemical bonding theory are discussed, and in particular, the novel concept of the molecular topoid is shown to have numerous uses. The topological description of polymers is examined and the reader is gently guided through the realms of branched and tangled polymers. Overall, this work outlines the fact that topology is not only a theoretical discipline but also one that has practical applications and high relevance to the whole domain of chemistry.
Download or read book The Fullerenes written by H. W. Kroto and published by Cambridge University Press. This book was released on 1993-09-09 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1985, Buckminsterfullerene (fullerene-60) C60 was discovered serendipitously during graphite laser vaporisation experiments designed to simulate the chemistry in a red giant carbon star. The molecule was isolated for the first time in macroscopic amounts in 1990, a breakthrough which triggered an explosion of research into its chemical and physical properties. The fullerenes hold great potential for material science applications, such as semiconductors and microscopic engineering, and as new compounds for pharmaceuticals, polymers and the chemical industry. In October 1992, a Discussion Meeting of the Royal Society entitled A Post-Buckminsterfullerene View of the Chemistry, Physics and Astrophysics of Carbon, organised by H. W. Kroto, A. L. Makay, G. Turner and D. R. M. Walton, was held to celebrate this exciting advance. The scientists who played key roles in the discovery and who are currently uncovering fascinating problems and the implications of this elegant molecule presented the papers published in this book.
Book Synopsis A Mathematical Space Odyssey by : Claudi Alsina
Download or read book A Mathematical Space Odyssey written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid geometry is the traditional name for what we call today the geometry of three-dimensional Euclidean space. This book presents techniques for proving a variety of geometric results in three dimensions. Special attention is given to prisms, pyramids, platonic solids, cones, cylinders and spheres, as well as many new and classical results. A chapter is devoted to each of the following basic techniques for exploring space and proving theorems: enumeration, representation, dissection, plane sections, intersection, iteration, motion, projection, and folding and unfolding. The book includes a selection of Challenges for each chapter with solutions, references and a complete index. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, as a supplement in problem solving sessions, as enrichment material in a course on proofs and mathematical reasoning, or in a mathematics course for liberal arts students.--
