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Author : Miller
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 ( download)
Download or read book On the Application of Elementary Geometry to Crystallography written by Miller and published by . This book was released on 1857 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Engel
Publisher : Springer Science & Business Media
ISBN 13 : 9400947607
Total Pages : 273 pages
Book Rating : 4.4/5 (9 download)
Download or read book Geometric Crystallography written by P. Engel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade mathematical crystallography has found increasing interest. Siginificant results have been obtained by algebraic, geometric, and group theoretic methods. Also classical crystallography in three-dimen sional Euclidean space has been extended to higher dimen sions in order to understand better the dimension independent crystallographic properties. The aim of this note is to introduce the reader to the fascinating and rich world of geometric crystallography. The prerequisites for reading it are elementary geometry and topological notations, and basic knowledge of group theory and linear algebra. Crystallography is geometric by its nature. In many cases, geometric arguments are the most appropriate and can thus best be understood. Thus the geometric point of view is emphasized here. The approach is axiomatic start ing from discrete point sets in Euclidean space. Symmetry comes in very soon and plays a central role. Each chapter starts with the necessary definitions and then the subject is treated in two- and three-dimensional space. Subsequent sections give an extension to higher dimensions. Short historical remarks added at the end of the chapters will show the development of the theory. The chapters are main ly self-contained. Frequent cross references, as well as an extended subject index, will help the reader who is only interested in a particular subject.
Author : Andrzej Szczepański
Publisher : World Scientific
ISBN 13 : 9814412252
Total Pages : 208 pages
Book Rating : 4.8/5 (144 download)
Download or read book Geometry of Crystallographic Groups written by Andrzej Szczepański and published by World Scientific. This book was released on 2012 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.
Author :
Publisher :
ISBN 13 :
Total Pages : 1410 pages
Book Rating : 4.3/5 (91 download)
Download or read book Philosophical Magazine written by and published by . This book was released on 1857 with total page 1410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (321 download)
Download or read book The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1857 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.0/5 ( download)
Download or read book London, Edinburgh and Dublin Philosophical Magazine and Journal of Science written by and published by . This book was released on 1857 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Siobhan Roberts
Publisher : Princeton University Press
ISBN 13 : 0691264759
Total Pages : 416 pages
Book Rating : 4.6/5 (912 download)
Download or read book The Man Who Saved Geometry written by Siobhan Roberts and published by Princeton University Press. This book was released on 2024-10-29 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illuminating biography of one of the greatest geometers of the twentieth century Driven by a profound love of shapes and symmetries, Donald Coxeter (1907–2003) preserved the tradition of classical geometry when it was under attack by influential mathematicians who promoted a more algebraic and austere approach. His essential contributions include the famed Coxeter groups and Coxeter diagrams, tools developed through his deep understanding of mathematical symmetry. The Man Who Saved Geometry tells the story of Coxeter’s life and work, placing him alongside history’s greatest geometers, from Pythagoras and Plato to Archimedes and Euclid—and it reveals how Coxeter’s boundless creativity reflects the adventurous, ever-evolving nature of geometry itself. With an incisive, touching foreword by Douglas R. Hofstadter, The Man Who Saved Geometry is an unforgettable portrait of a visionary mathematician.
Author : Andrzej Szczepanski
Publisher : World Scientific
ISBN 13 : 9811286612
Total Pages : 272 pages
Book Rating : 4.8/5 (112 download)
Download or read book Geometry Of Crystallographic Groups (Second Edition) written by Andrzej Szczepanski and published by World Scientific. This book was released on 2024-07-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is eleven years since the First Edition of Geometry of Crystallographic Groups appeared. This Second Edition expands on the first, providing details of a new result of automorphism of crystallographic groups, and on Hantzsche-Wendt groups/manifolds.Crystalographic groups are groups which act via isometries on some n-dimensional Euclidean space, so-named because in three dimensions they occur as the symmetry groups of a crystal. There are short introductions to the theme before every chapter, and a list of conjectures and open projects at the end of the book.Geometry of Crystallographic Groups is suitable as a textbook for students, containing basic theory of crystallographic groups. It is also suitable for researchers in the field, discussing in its second half more advanced and recent topics.
Author : Siobhan Roberts
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802718329
Total Pages : 420 pages
Book Rating : 4.8/5 (27 download)
Download or read book King of Infinite Space written by Siobhan Roberts and published by Bloomsbury Publishing USA. This book was released on 2009-05-26 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is perhaps no better way to prepare for the scientific breakthroughs of tomorrow than to learn the language of geometry." -Brian Greene, author of The Elegant Universe The word "geometry" brings to mind an array of mathematical images: circles, triangles, the Pythagorean Theorem. Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives-from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century. Many of the greatest names in intellectual history-Pythagoras, Plato, Archimedes, Euclid- were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions-his famed Coxeter groups and Coxeter diagrams-have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational. Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.
Author : Harshad Kumar Dharamshi Hansraj Bhadeshia
Publisher : CRC Press
ISBN 13 :
Total Pages : 110 pages
Book Rating : 4.3/5 (91 download)
Download or read book Worked Examples in the Geometry of Crystals written by Harshad Kumar Dharamshi Hansraj Bhadeshia and published by CRC Press. This book was released on 1987 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. A. K. Tareen
Publisher : Universities Press
ISBN 13 : 9788173713606
Total Pages : 222 pages
Book Rating : 4.7/5 (136 download)
Download or read book A Basic Course in Crystallography written by J. A. K. Tareen and published by Universities Press. This book was released on 2001 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Glaser
Publisher : John Wiley & Sons
ISBN 13 : 3527337490
Total Pages : 330 pages
Book Rating : 4.5/5 (273 download)
Download or read book Symmetry, Spectroscopy, and Crystallography written by Robert Glaser and published by John Wiley & Sons. This book was released on 2015-10-05 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear and understandable manner, this book provides a comprehensive, yet non-mathematical, treatment of the topic, covering the basic principles of symmetry and the important spectroscopic techniques used to probe molecular structure. The chapters are extensively illustrated and deal with such topics as symmetry elements, operations and descriptors, symmetry guidelines, high-fidelity pseudosymmetry, crystallographic symmetry, molecular gears, and experimental techniques, including X-ray crystallography and NMR spectroscopy. As an additional feature, 3D animations of most of the structures and molecules covered are available online at wiley.com. As a result, chemists learn how to understand and predict molecular structures and reactivity. Authored by a renowned expert with numerous publications and an excellent track record in research and teaching, this is a useful source for graduate students and researchers working in the field of organic synthesis, physical chemistry, biochemistry, and crystallography, while equally serving as supplementary reading for courses on stereochemistry, organic synthesis, or crystallography.
Author : John N. Lalena
Publisher : John Wiley & Sons
ISBN 13 : 1119486831
Total Pages : 720 pages
Book Rating : 4.1/5 (194 download)
Download or read book Principles of Inorganic Materials Design written by John N. Lalena and published by John Wiley & Sons. This book was released on 2020-05-27 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the fundamentals of materials design with this all-inclusive approach to the basics in the field Study of materials science is an important aspect of curricula at universities worldwide. This text is designed to serve students at a fundamental level, positioning materials design as an essential aspect of the study of electronics, medicine, and energy storage. Now in its 3rd edition, Principles of Inorganic Materials Design is an introduction to relevant topics including inorganic materials structure/property relations and material behaviors. The new edition now includes chapters on computational materials science, intermetallic compounds, and covalent compounds. The text is meant to aid students in their studies by providing additional tools to study the key concepts and understand recent developments in materials research. In addition to the many topics covered, the textbook includes: • Accessible learning tools to help students better understand key concepts • Updated content including case studies and new information on computational materials science • Practical end-of-chapter exercises to assist students with the learning of the material • Short biographies introducing pioneers in the field of inorganic materials science For undergraduates just learning the material or professionals looking to brush up on their knowledge of current materials design information, this text covers a wide range of concepts, research, and topics to help round out their education. The foreword to the first edition was written by the 2019 Chemistry Nobel laureate Prof. John B. Goodenough.
Author : D. Wolf
Publisher : Springer Science & Business Media
ISBN 13 : 9780412412707
Total Pages : 748 pages
Book Rating : 4.4/5 (127 download)
Download or read book Materials Interfaces written by D. Wolf and published by Springer Science & Business Media. This book was released on 1992-10-31 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most important properties of materials in high-technology applications are strongly influenced or even controlled by the presence of solid interfaces. In this work, leading international authorities review the broad range of subjects in this field focusing on the atomic level properties of solid interfaces.
Author : Charles P. Poole Jr.
Publisher : Academic Press
ISBN 13 : 0080545238
Total Pages : 1658 pages
Book Rating : 4.0/5 (85 download)
Download or read book Encyclopedic Dictionary of Condensed Matter Physics written by Charles P. Poole Jr. and published by Academic Press. This book was released on 2004-03-11 with total page 1658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a translation and revision of the Original Russian version by Baryahktar. It covers all of the main fields involved in Condensed Matter Physics, such as crystallography, electrical properties, fluids, magnetism, material properties, optics, radiation, semiconductors, and superconductivity, as well as highlights of important related subjects such as quantum mechanics, spectroscopy, and statistical mechanics. Both theoretical and experimental aspects of condensed matter are covered in detail. The entries range from very short paragraphs on topics where definitions are needed, such as Bloch's law, clathrate compound, donor, domain, Kondo lattice, mean free path, and Wigner crystal, to long discussions of more general or more comprehensive topics such as antiferromagnetism, crystal lattice dynamics, dislocations, Fermi surface, Josephson effect, luminescence, magnetic films, phase transitions and semiconductors. The main theoretical approaches to Condensed Matter Physics are explained. There are several long tables on, for example, Bravais lattices, characteristics of magnetic materials, units of physical quantities, symmetry groups. The properties of the main elements of the periodic table are given. Numerous entries not covered by standard Solid State Physics texts o Self-similarity o The adiabatic approximation o Bistability Emphasis on materials not discussed in standard texts o Activated carborn o Austenite o Bainite o Calamitics o Carbine o Delat phase o Discotics o Gunier-Preston zones o Heterodesmic structures o Heusler Alloys o Stress and strain deviators o Vicalloy · Each entry is fully cross-referenced to help tracking down all aspects of a topic under investigation Highly illustrated to clarify many concepts
Author : Carmelo Giacovazzo
Publisher : Oxford University Press, USA
ISBN 13 : 0199686998
Total Pages : 433 pages
Book Rating : 4.1/5 (996 download)
Download or read book Phasing in Crystallography written by Carmelo Giacovazzo and published by Oxford University Press, USA. This book was released on 2014 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes phasing techniques in modern crystallography. The main text is dedicated to their simple description, and further mathematical details are contained in the appendices. Practical aspects are described for each specific method, making it a useful tool for the daily work of practising crystallographers.
Author : Marshall Whittlesey
Publisher : CRC Press
ISBN 13 : 1000617548
Total Pages : 348 pages
Book Rating : 4.0/5 (6 download)
Download or read book Spherical Geometry and Its Applications written by Marshall Whittlesey and published by CRC Press. This book was released on 2019-11-14 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
