Geometric Symmetry PDF Download
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Author | : C E Horne |
Publisher | : Woodhead Publishing |
Total Pages | : 256 |
Release | : 2000-10-23 |
Genre | : Architecture |
ISBN | : 1855734923 |
Download Geometric Symmetry in Patterns and Tilings Book in PDF, ePub and Kindle
This book covers a wide range of mathematical concepts as they are applied to regularly repeating surface decoration for textiles and other decorated materials such as wallpapers and wrappings. Starting with basic principles of symmetry it moves on to cover more complex issues of graph theory, group theory and topology. All these concepts are extensively illustrated with over 1000 original illustrations. A complex area, previously best understood by mathematicians and crystallographers, is made accessible here to artists and designers.
Author | : C E Horne |
Publisher | : Elsevier |
Total Pages | : 249 |
Release | : 2000-10-23 |
Genre | : Technology & Engineering |
ISBN | : 1855738953 |
Download Geometric Symmetry in Patterns and Tilings Book in PDF, ePub and Kindle
This book encompasses a wide range of mathematical concepts relating to regularly repeating surface decoration from basic principles of symmetry to more complex issues of graph theory, group theory and topology. It presents a comprehensive means of classifying and constructing patterns and tilings. The classification of designs is investigated and discussed forming a broad basis upon which designers may build their own ideas. A wide range of original illustrative material is included.In a complex area previously best understood by mathematicians and crystallographers, the author develops and applies mathematical thinking to the context of regularly repeating surface-pattern design in a manner accessible to artists and designers. Design construction is covered from first principles through to methods appropriate for adaptation to large-scale screen-printing production. The book extends mathematical thinking beyond symmetry group classification. New ideas are developed involving motif orientation and positioning, including reference to a crystal structure, leading on to the classification and construction of discrete patterns and isohedral tilings.Designed to broaden the scope of surface-pattern designers by increasing their knowledge in otherwise impenetrable theory of geometry this 'designer friendly' book serves as a manual for all types of surface design including textiles, wallpapers and wrapping paper. It is also of value to crystallographers, mathematicians and architects.
Author | : E. H. Lockwood |
Publisher | : CUP Archive |
Total Pages | : 248 |
Release | : 1978-12-07 |
Genre | : Mathematics |
ISBN | : 9780521216852 |
Download Geometric Symmetry Book in PDF, ePub and Kindle
Symmetry is of interest in two ways, artistic and mathematical. It underlies much scientific thought, playing an important role in chemistry and atomic physics, and a dominant one in crystallography. It is important in architectural and engineering design and particularly in the decorative arts. This book provides a comprehensive account of symmetry in a form acceptable to readers without much detailed mathematical knowledge or experience who nevertheless want to understand the basic principles of the subject. It will be useful in school and other libraries and as preliminary reading for students of crystallography. The treatment is geometrical, which should appeal to art students and to readers whose mathematical interests are that way inclined.
Author | : L. Christine Kinsey |
Publisher | : John Wiley & Sons |
Total Pages | : 960 |
Release | : 2010-04-19 |
Genre | : Mathematics |
ISBN | : 0470499494 |
Download Geometry and Symmetry Book in PDF, ePub and Kindle
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.
Author | : L.Christine Kinsey |
Publisher | : Springer Science & Business Media |
Total Pages | : 524 |
Release | : 2006-05-09 |
Genre | : Mathematics |
ISBN | : 9781930190092 |
Download Symmetry, Shape and Space Book in PDF, ePub and Kindle
This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.
Author | : Darryl D. Holm |
Publisher | : Oxford University Press |
Total Pages | : |
Release | : 2009-07-30 |
Genre | : Mathematics |
ISBN | : 0191549878 |
Download Geometric Mechanics and Symmetry Book in PDF, ePub and Kindle
Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincaré equations for dynamics on Lie groups. Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincaré reduction theorem for ideal fluid dynamics. A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.
Author | : Paul B. Yale |
Publisher | : Courier Corporation |
Total Pages | : 288 |
Release | : 2014-05-05 |
Genre | : Mathematics |
ISBN | : 0486169324 |
Download Geometry and Symmetry Book in PDF, ePub and Kindle
DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div
Author | : Kodŭng Kwahagwŏn (Korea). International Conference |
Publisher | : World Scientific |
Total Pages | : 940 |
Release | : 2001 |
Genre | : Mirror symmetry |
ISBN | : 9789812799821 |
Download Symplectic Geometry and Mirror Symmetry Book in PDF, ePub and Kindle
In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi–Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger–Yau–Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov–Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya–Oh–Ohta–Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov–Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field.
Author | : Joe Rosen |
Publisher | : Courier Corporation |
Total Pages | : 176 |
Release | : 2012-10-16 |
Genre | : Science |
ISBN | : 048614500X |
Download Symmetry Discovered Book in PDF, ePub and Kindle
Newly enlarged classic covers basic concepts and terminology, lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, in science, more. Solutions to problems. Expanded bibliography. 1975 edition.
Author | : Ricardo Castano-Bernard |
Publisher | : Springer |
Total Pages | : 445 |
Release | : 2014-10-07 |
Genre | : Mathematics |
ISBN | : 3319065149 |
Download Homological Mirror Symmetry and Tropical Geometry Book in PDF, ePub and Kindle
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the “tropical” approach to Gromov-Witten theory and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of Calabi-Yau manifolds (the so-called Strominger-Yau-Zaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewise-linear objects which appear as “degenerations” of the corresponding algebro-geometric objects.