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Quaternions --- Àlgebra universal --- Cinemàtica --- Corbes --- Superfícies (Matemàtica) --- Anàlisi vectorial --- Nombres complexos --- Functions, Quaternion. --- Quaternion functions --- Functions of complex variables
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The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition. The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of: a corrected English translation of the original Lagerungen, the revised and updated Notes on the original text, eight self-contained chapters surveying additional topics in detail. The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.
Mathematics. --- Math --- Science --- Convex surfaces. --- Polyhedra. --- Sphere. --- Geometry, Solid --- Shapes --- Orbs --- Polyhedral figures --- Polyhedrons --- Convex areas --- Convex domains --- Surfaces --- Superfícies convexes --- Poliedres --- Esfera
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This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. In this regard, the topological crystallography founded by Kotani and Sunada is explained by using many examples. Carbon structures such as fullerenes are considered as trivalent discrete surfaces from the viewpoint of discrete geometric analysis. Discrete surface theories usually have been considered discretization of smooth surfaces. Here, consideration is given to discrete surfaces modeled by crystal/molecular structures, which are essentially discrete objects. .
Geometry, Differential. --- Discrete mathematics. --- Differential Geometry. --- Applications of Discrete Mathematics. --- Discrete Mathematics. --- Cristal·lografia matemàtica --- Carboni --- Compostos de carboni --- Estructura molecular --- Models matemàtics --- Superfícies (Matemàtica) --- Geometria discreta
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Superfícies de Riemann --- Geometria de Riemann --- Geometria el·líptica --- Geometria riemanniana --- Espais generalitzats --- Geometria diferencial --- Geometria diferencial global --- Geometria no euclidiana --- Riemann (Superfícies) --- Funcions --- Espais de Teichmüller --- Fórmula de traça de Selberg --- Geometry, Differential. --- Algebraic topology. --- Geometry, Algebraic. --- Algebraic geometry --- Geometry --- Topology --- Differential geometry
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Surfaces (Physics) --- Surface chemistry --- Surfaces (Technology) --- Physics --- General and Others --- Surface chemistry. --- Materials --- Surface phenomena --- Friction --- Tribology --- Chemistry, Surface --- Interfaces, Chemistry of --- Surfaces (Chemistry) --- Chemistry, Physical and theoretical --- Capillarity --- Surface energy --- Surface tension --- Surfaces --- Superfícies (Física)
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The declared objective of this book is to provide an introductory review of the various theoretical and practical aspects of adsorption by powders and porous solids with particular reference to materials of technological importance. The primary aim is to meet the needs of students and non-specialists who are new to surface science or who wish to use the advanced techniques now available for the determination of surface area, pore size and surface characterization. In addition, a critical account is given of recent work on the adsorptive properties of activated carbons, oxides, clays and zeolit
Adsorption. --- Powders. --- Porous materials. --- Porous media --- Powder --- Sorption --- Materials --- Porosity --- Bulk solids --- Crystals --- Separation (Technology) --- Surface chemistry --- Análisis Térmico y Caracterización de Superficies (71101105) --- Bibliografía recomendada
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Càlcul --- Càlcul infinitesimal --- Límits (Matemàtica) --- Aritmètica --- Anàlisi harmònica --- Anàlisi p-àdica --- Càlcul diferencial --- Càlcul fraccional --- Càlcul mental --- Corbes --- Curvatura --- Equacions diferencials --- Sèries de Fourier --- Superfícies (Matemàtica) --- Teories no lineals --- Anàlisi matemàtica --- Concepte de nombre --- Funcions --- Geometria infinitesimal --- Mètode ABN --- Numeració
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Curves, Algebraic. --- Curves, Algebraic --- Data processing. --- Algebraic curves --- Algebraic varieties --- Corbes --- Corbes algebraiques --- Corbes algèbriques --- Corbes el·líptiques --- Corbes modulars --- Corbes quàrtiques --- Geometria algebraica --- Càlcul --- Geometria analítica --- Geometria diferencial --- Geometria enumerativa --- Corbes planes --- Corbes sobre superfícies --- Envolupants (Geometria) --- Curvatura --- Quaternions
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This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect.
Engineering mathematics. --- Engineering—Data processing. --- Planetary science. --- Engineering geology. --- Mathematical and Computational Engineering Applications. --- Planetary Science. --- Geoengineering. --- Engineering --- Civil engineering --- Geology, Economic --- Planetary sciences --- Planetology --- Engineering analysis --- Mathematical analysis --- Geology --- Mathematics --- Surfaces --- Areas and volumes. --- Surface area --- Superfícies (Matemàtica)
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This textbook offers a uniquely accessible introduction to flows on compact surfaces, filling a gap in the existing literature. The book can be used for a single semester course and/or for independent study. It demonstrates that covering spaces provide a suitable and modern setting for studying the structure of flows on compact surfaces. The thoughtful treatment of flows on surfaces uses topology (especially covering spaces), the classification of compact surfaces, and Euclidean and hyperbolic rigid motions to establish structural theorems that describe flows on surfaces generally. Several of the topics from dynamical systems that appear in this book (e.g., fixed points, invariant sets, orbits, almost periodic points) also appear in the many subareas of dynamical systems. The book successfully presents the reader with a self-contained introduction to dynamical systems or an expansion of one's existing knowledge of the field. Prerequisites include completion of a graduate-level topology course; a background in dynamical systems is not assumed.
Dynamical systems. --- Topology. --- Dynamical Systems. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Dinàmica de fluids --- Superfícies (Matemàtica) --- Dynamics.
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