Polyhedra 電子書籍
 
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商品説明価格

Complete Book of Origami Polyhedra 64 Ingenious Geometric Paper Models (Learn Modular Origami from Japan's Leading Master!)【電子書籍】[ Tomoko Fuse ]

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<p><strong>Learn to fold incredible geometric origami models from "The Queen of Modular Origami!"</strong></p> <p>In this book, Tomoko Fuse--Japan's most famous living origami artist--shows you how to create amazing polyhedral models using the techniques of modular origami (where many paper sheets are folded then locked together without glue or tape).</p> <p>Make 64 intriguing modular models, including:</p> <ul> <li><strong>Stackable Modules</strong>--The perfect starting point for novices, these simple constructions result in stunning three-dimensional forms</li> <li><strong>3-D Stars</strong>--Dazzling decorative starbursts that look great on a Christmas tree, on your mantle--or even in an art gallery</li> <li><strong>Manifold Modulars</strong>--"Inception-like" models in which individual modular constructions themselves become modules within a larger piece</li> <li><strong>Cubes and Boxes</strong>--Perfect for gift giving--and there is no finer teacher for these than renowned origami box specialist Tomoko Fuse</li> <li><strong>And many more!</strong></li> </ul> <p><strong>*<em>Recommended for experienced folders and up</em>*</strong></p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,708円

Multimodular Origami Polyhedra Archimedeans, Buckyballs and Duality【電子書籍】[ Rona Gurkewitz ]

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<p>Continuing the groundbreaking work of their previous two books, the mathematician and mechanical engineer authors of this volume further strengthen the link between origami and mathematics ー and expand the relationship to crystallography. Through a series of photographs, diagrams, and charts, they illustrate the correlation between the origami waterbomb base and the mathematical duality principle of Archimedean solids. Then, they show how to apply the correlation to models of the buckyball (a carbon-60 molecule resembling a soccer ball, named for R. Buckminster Fuller, designer of the geodesic dome). By the process of gyroscope transformation, origamists can transform buckyballs into more new and interesting shapes. Step-by-step instructions and clear diagrams show origami enthusiasts how to create a world of multifaceted wonders.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,062円

3-D Geometric Origami Modular Polyhedra【電子書籍】[ Rona Gurkewitz ]

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<p>This innovative book ー among the first to combine the art of origami with making polyhedra-based models ー shows papercrafters how to create over 60 different polyhedral from origami units. Comprised of modules made of single sheets of paper, the figures offer model builders and math students alike a stimulating entr?e into the world of three-dimensional geometric origami.<br /> Origamists are initially introduced to a number of preliminary folds that will aid in constructing a variety of figures. Step-by-step instructions and clearly outlined diagrams then show how to create polyhedral ranging from a relatively simple tetrahedron and cube to such mind-boggling fabrications as the double pentagonal pyramid, a truncated hexadecahedron and the 92-faced snub dodecahedron. You'll also learn to construct these intriguing polyhedral: a stellated icosahedron, an equilateral triangle dodecahedron, and a truncated octahedron.<br /> Graded according to difficulty, these multifaceted projects will not only challenge devotees of the ancient Japanese art of paper folding but will be useful in classroom demonstrations of mathematical principles.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,195円

Compound Polyhedra Modular Origami【電子書籍】[ Fergus Currie ]

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<p>A book of ten geometric models of advanced modular origami designed by Fergus Currie with full instructions and diagrams on how to make the following: 1.The Compound of Two Cubes2.The Compound of Two Tetrahedra3.The Compound of the Octahedron and the Cube4.The Compound of Three Cubes5.The Compound of Five Octahedra6.The Compound of Three Octahedra7.The Compound of Three Tetrahedra8.The Compound of the Icosahedron and the Dodecahedron9.The Small Triambic Icosahedron (STI)10.and11.The Compound of the STI and the Dodecahedron.It also includes an introduction with sections on the mathematics behind the models; a short history of modular origami; a section on tools and folding techniques, and a gallery of the finished models that are presented in the book.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,475円

Geometric Folding Algorithms Linkages, Origami, Polyhedra【電子書籍】[ Erik D. Demaine ]

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<p>Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even 'sign your name'? Or that a 'Latin cross' unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved 'open problems' to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 7,583円

How to Fold It The Mathematics of Linkages, Origami and Polyhedra【電子書籍】[ Joseph O’Rourke ]

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<p>What do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 4,593円

Reshaping Convex Polyhedra【電子書籍】[ Joseph O'Rourke ]

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<p>^ the="" study="" of="" convex="" polyhedra="" in="" ordinary="" space="" is="" a="" central="" piece="" classical="" and="" modern="" geometry="" that="" has="" had="" significant="" impact="" on="" many="" areas="" mathematics="" also="" computer="" science.="" present="" book="" project="" by="" joseph="" o’rourke="" costin="" v?lcu="" brings="" together="" two="" important="" strands="" subject="" ー="" combinatorics="" polyhedra,="" intrinsic="" underlying="" surface.="" this="" leads="" to="" remarkable="" interplay="" concepts="" come="" life="" wide="" range="" very="" attractive="" topics="" concerning="" polyhedra.="" gets="" message="" across="" thetheory="" although="" with="" roots,="" still="" much="" alive="" today="" continues="" be="" inspiration="" basis="" lot="" current="" research="" activity.="" work="" presented="" manuscript="" interesting="" applications="" discrete="" computational="" geometry,="" as="" well="" other="" mathematics.="" treated="" detail="" include="" unfolding="" onto="" surfaces,="" continuous="" flattening="" convexity="" theory="" minimal="" length="" enclosing="" polygons.="" along="" way,="" open="" problems="" suitable="" for="" graduate="" students="" are="" raised,="" both="" a</p> <p>The focus of this monograph is convertingーreshapingーone 3D convex polyhedron to another via an operation the authors call “tailoring.” A convex polyhedron is a gem-like shape composed of flat facets, the focus of study since Plato and Euclid. The tailoring operation snips off a corner (a “vertex”) of a polyhedron and sutures closed the hole. This is akin to Johannes Kepler’s “vertex truncation,” but differs in that the hole left by a truncated vertex is filled with new surface, whereas tailoring zips the hole closed. A powerful “gluing” theorem of A.D. Alexandrov from 1950 guarantees that, after closing the hole, the result is a new convex polyhedron. Given two convex polyhedra P, and Q inside P, repeated tailoringallows P to be reshaped to Q. Rescaling any Q to fit inside P, the result is universal: any P can be reshaped to any Q. This is one of the main theorems in Part I, with unexpected theoretical consequences.</p> <p>Part II carries out a systematic study of “vertex-merging,” a technique that can be viewed as a type of inverse operation to tailoring. Here the start is P which is gradually enlarged as much as possible, by inserting new surface along slits. In a sense, repeated vertex-merging reshapes P to be closer to planarity. One endpoint of such a process leads to P being cut up and “pasted” inside a cylinder. Then rolling the cylinder on a plane achieves an unfolding of P. The underlying subtext is a question posed by Geoffrey Shephard in 1975 and already implied by drawings by Albrecht D?rer in the 15th century: whether every convex polyhedron can be unfolded to a planar “net.” Toward this end, the authors initiate an exploration of convexity on convex polyhedra, a topic rarely studiedin the literature but with considerable promise for future development.</p> <p>This monograph uncovers new research directions and reveals connections among several, apparently distant, topics in geometry: Alexandrov’s Gluing Theorem, shortest paths and cut loci, Cauchy’s Arm Lemma, domes, quasigeodesics, convexity, and algorithms throughout. The interplay between these topics and the way the main ideas develop throughout the book could make the “journey” worthwhile for students and researchers in geometry, even if not directly interested in specific topics. Parts of the material will be of interest and accessible even to undergraduates. Although the proof difficulty varies from simple to quite intricate, with some proofs spanning several chapters, many examples and 125 figures help ease the exposition and illustrate the concepts.</p> <p>^></p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 14,585円

Shaping Space Exploring Polyhedra in Nature, Art, and the Geometrical Imagination【電子書籍】

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<p>Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: <em>Shaping SpaceーExploring Polyhedra in Nature, Art, and the Geometrical Imagination</em> is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics.</p> <p>Some of the world’s leading geometers present a treasury of ideas, history, and culture to make the beauty of polyhedra accessible to students, teachers, polyhedra hobbyists, and professionals such as architects and designers, painters and sculptors, biologists and chemists, crystallographers, physicists and earth scientists, engineers and model builders, mathematicians and computer scientists.</p> <p>The creative chapters by more than 25 authors explore almost every imaginable side of polyhedra. From the beauty of natural forms to the monumental constructions made by man, there is something to fascinate every reader. The book is dedicated to the memory of the legendary geometer H. S. M. Coxeter and the multifaceted design scientist Arthur L. Loeb.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 5,712円

A Geometric Analysis of the Platonic Solids and other Semi-regular Polyhedra【電子書籍】[ Kenneth MacLean ]

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<p>Can geometry be exciting?<br /> It can for those who can appreciate the beauty of numbers and their relationships.</p> <p>This eBook contains a meticulous geometric investigation of the 5 Platonic Solids and 5 other important polyhedra, as well as reference charts for each solid.</p> <p>Poly (many) hedron (face) means "many faces." Polyhedra are 3 dimensional figures with 4 or more faces, or sides.<br /> These polyhedra are reflections of Nature herself, and a study of them provides insight into the way the world is structured.</p> <p>Nature is not only beautiful, but highly intelligent. As you explore the polyhedra in this book, this will become apparent over and over again.</p> <p>The eBook contains a geometric explanation of the Phi Ratio and Fibonacci series, and a detailed analysis of the pentagon, which forms the basis for many of these solids. The pentagon is composed entirely of Phi relationships, and is integral to a proper understanding of sacred geometry.<br /> With over 140 illustrations , this eBook is perfect for teachers and students of geometry alike. It is a must for those who are serious about sacred geometry.<br /> This book is dedicated to those who can appreciate the logic of numbers and the beauty of nature, for they are both aspects of the same unifying principle.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,590円

How to Construct Platonic, Archimedean and Stellated Polyhedra【電子書籍】[ Lindsworth Deer Jr ]

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<p>This book is intended to be a Fun semi-historical book on the history of Polyhedra, both Platonic and Archimedean as well as special construction methods to make them.</p> <p>This book is of interest to everyone, from the casual reader seeking to understand 3D solids to the serious hobbyist looking for specialized construction methods to build and make Polyhedra from any material including Cartridge paper, corrugated Cardboard, Wood, Fiberglass and even Metal.</p> <p>Polyhedra are excellent hands-on tool for teaching the subjects Mathematics, Computer Programming, Biology, Biochemistry and Chemistry.</p> <p>Polyhedra are an excellent Mathematics teaching aids that not only bring Mathematics to life but have application to other scientific field, such as facilitates learning among Kinesthetic and Visual Learners (Fleming, 2012) by introducing them to the use of trigonometry to derive and calculate the Volumes, Surface areas and Dihedral and Planar Angles of Polygons and Polyhedra.</p> <p>It can be used to introduce Children to learning Python and C++ Programming and in the process translate equations into constants and variables in Python and C++ Programming. The children learning programming can also incorporate aspects of calculations involving Planar 3D Geometry and Trigonometry in 3D Game Programming, where polyhedra are used extensively to render 3D CGI imagery.</p> <p>Finally, it helps students studying Molecular Stereochemistry in Chemistry and Biology as it enables them to easily visualize molecular cages e.g. zeolites, clathrates that occur in Inorganic Chemistry and organo-metallic chemistry. Because the construction methods use every day materials, the student can use these construction methods to make their own models instead of resorting to buying expensive models online.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 718円

Modular Origami Polyhedra Revised and Enlarged Edition【電子書籍】[ Lewis Simon ]

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<p>This newly revised and enlarged book offers paperfolders, model builders, and math students alike a stimulating journey into the world of three-dimensional geometric origami. Step-by-step instructions and clearly detailed diagrams explain how to create more than 35 different modular polyhedra. The modules, each made from a single piece of paper, have points and pockets, enabling origamists to build fascinating figures by inserting the tapered ends of each module into the pockets of the adjacent modules.<br /> Unavailable elsewhere, the models in this innovative book are diverse, ranging from relatively simple modular cube and stellated octahedron to more advanced two-piece modules, a gyroscope, and even a 14-sided cuboctahedron. Graded according to difficulty, these multifaceted marvels have a style and beauty all their own and will not only challenge devotees of the ancient Japanese art of paper folding, but will also prove useful in classroom demonstrations of geometric principles.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,062円

Art & Science of Geometric Origami Create Spectacular Paper Polyhedra, Waves, Spirals, Fractals and More! (More than 60 Models!)【電子書籍】[ Jun Maekawa ]

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<p><strong>A magnificent new collection of 60 sculptural paper models from a mathematical origami master!</strong></p> <p>Master origami folder and author Jun Maekawa is known for developing innovative new methods of folding origami based on fundamental mathematical principles. In <em>The Art & Science of Geometric Origami,</em> he shows you how to fold over 60 different geometric shapes through clear, easy-to-follow instructions and photos.</p> <p><strong>The unique origami designs in this book include:</strong></p> <ul> <li>New takes on traditional geometric models including the Tetrahedron and Octahedron</li> <li>Unusual forms like the Tetrapod Wave Breaker, Hyperbolic Illusion Cubeーand a Torii Gate</li> <li>Quirky pieces like the Double Spiral Tessellation, Branching Tree and Fractal Wave</li> <li>Biological models such as a Lizard, Tethered Cranes and a realistic Human Figure</li> </ul> <p>Folding instructions for each model are prefaced with an extensive introduction to the geometric principles underlying the piece. The models include nontraditional designs folded from unusual papers, including dozens of clever boxes and modular models which are assembled like 3D puzzles!</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 2,028円

Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions【電子書籍】[ Lei Yang ]

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<p>Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 13,393円

Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)【電子書籍】[ Detlef M?ller ]

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<p>This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.</p> <p>Isroil Ikromov and Detlef M?ller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly the concept of adapted coordinates and the notion of height. It turns out that these classical tools essentially suffice already to treat the case where there exist linear adapted coordinates, and thus Ikromov and M?ller concentrate on the remaining case. Here the notion of r-height is introduced, which proves to be the right new concept. They then describe decomposition techniques and related stopping time algorithms that allow to partition the given surface into various pieces, which can eventually be handled by means of oscillatory integral estimates. Different interpolation techniques are presented and used, from complex to more recent real methods by Bak and Seeger.</p> <p>Fourier restriction plays an important role in several fields, in particular in real and harmonic analysis, number theory, and PDEs. This book will interest graduate students and researchers working in such fields.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 8,974円

Beginner's Book of Modular Origami Polyhedra The Platonic Solids【電子書籍】[ Rona Gurkewitz ]

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<p>Whether or not you're familiar with traditional origami models, you're sure to be captivated by the fun and fascination of creating abstract geometric forms. This book by an expert paperfolder offers a clear, concise introduction to the special techniques for making beautiful, complex polyhedra models.<br /> These 17 projects are based on the classic Platonic solids: the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Folders at every level of experience, from absolute beginners to old hands, will appreciate the step-by-step diagrams and their detailed views of the models' assembly. Additional helpful features include photos of the complete models, background on the Platonic solids, and references.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,062円

Polyhedra and Beyond Contributions from Geometrias’19, Porto, Portugal, September 05-07【電子書籍】

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<p>This volume collects papers based on talks given at the conference “Geometrias'19: Polyhedra and Beyond”, held in the Faculty of Sciences of the University of Porto between September 5-7, 2019 in Portugal. These papers explore the conference’s theme from an interdisciplinary standpoint, all the while emphasizing the relevance of polyhedral geometry in contemporary academic research and professional practice. They also investigate how this topic connects to mathematics, art, architecture, computer science, and the science of representation. <em>Polyhedra and Beyond</em> will help inspire scholars, researchers, professionals, and students of any of these disciplines to develop a more thorough understanding of polyhedra.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 12,154円

Polyhedral and Algebraic Methods in Computational Geometry【電子書籍】[ Michael Joswig ]

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<p><em>Polyhedral and Algebraic Methods in Computational Geometry</em> provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.</p> <p>The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction of Voronoi diagrams and Delone triangulations.</p> <p>The second part of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Gr?bner bases and solving systems of polynomial equations. The theory is illustrated by applications in computer graphics, curve reconstruction and robotics.</p> <p>Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry, optimization and numerical mathematics) are established.</p> <p><em>Polyhedral and Algebraic Methods in Computational Geometry</em> is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineering students who are interested in the applications of computational geometry.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 8,507円

Capacitated Planned Maintenance Models, Optimization Algorithms, Combinatorial and Polyhedral Properties【電子書籍】[ Torben Kuschel ]

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<p>This book examines the problem of maintenance planning and scheduling in industrial production systems. It presents two practically relevant, deterministic mathematical models: the capacitated planned maintenance problem (CPMP) and the weighted uncapacitated planned maintenance problem (WUPMP). It introduces specific optimization algorithms such as construction heuristics, Lagrangean and tabu search metaheuristics. A problem independent hybrid approach links and alternates between two Lagrangean relaxations. It also analyzes the solvability with respect to the computational complexity of several problem classes, polyhedral properties and lower bounds. Computational studies demonstrate the performance of the heuristics, lower bounds, subgradients obtained from heuristics and the quality of dual information. This unique book includes implementation details and an introduction to the necessary theory making it suitable for upper undergraduate students.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 6,076円

50th Anniversary of Electron Counting Paradigms for Polyhedral Molecules Bonding in Clusters, Intermetallics and Intermetalloids【電子書籍】

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<p>The 50 Year Anniversary of the development of electron counting paradigms is celebrated in two volumes of Structure and Bonding. Volume 2 covers applications to metal and metalloid clusters of the transition and post-transition elements</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 36,464円

Polyhedral Oligomeric Silsesquioxane (POSS) Polymer Nanocomposites From Synthesis to Applications【電子書籍】

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<p><em>Polyhedral Oligomeric Silsesquioxane (POSS) Polymer Nanocomposites: From Synthesis to Applications</em> offers extensive coverage of polyhedral oligomeric silsesquioxanes and their nanocomposites, including their synthesis, characterization, interfacial interactions and advanced applications. Sections introduce essentials, information on their preparation and discussions on polymeric materials, including elastomers, thermoplastics, thermosetting polymers, polymer blends and IPNs. Further sections cover the latest analysis techniques, examine the properties of POSS-polymer nanocomposites, and discuss key application areas, such as biological, energy, defense, and space. Finally, issues surrounding industry implementation and lifecycle are explored.</p> <p>This is a valuable reference for researchers, scientists and advanced students in the areas of polymer composites and nanocomposites, polymer chemistry, polymer physics, polymer science, and materials science and engineering. In an industrial setting, this book will be of great interest to scientists, R&D professionals, and engineers across industries and disciplines.</p> <ul> <li>Covers all aspects of polyhedral oligomeric silsesquioxanes (POSS) and their nanocomposites, including synthesis and characterization techniques, properties, analysis, applications and trends</li> <li>Targets POSS nanocomposites, describing synthesis, characterization and the selection of POSS filler types according to polymeric material</li> <li>Explains the preparation and utilization of POSS polymer nanocomposites for cutting-edge applications, including biological, energy, and defense field applications</li> </ul>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 24,716円

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes【電子書籍】[ Andrea Cangiani ]

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<p>Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. Somewhat surprisingly, DGFEMs on general tessellations consisting of polygonal (in 2D) or polyhedral (in 3D) element shapes have received little attention within the literature, despite the potential computational advantages.</p> <p>This volume introduces the basic principles of hp-version (i.e., locally varying mesh-size and polynomial order) DGFEMs over meshes consisting of polygonal or polyhedral element shapes, presents their error analysis, and includes an extensive collection of numerical experiments. The extreme flexibility provided by the locally variable elemen</p> <p>t-shapes, element-sizes, and element-orders is shown to deliver substantial computational gains in several practical scenarios.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 2,721円

Polyhedral Methods in Geosciences【電子書籍】

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<p>The last few years have witnessed a surge in the development and usage of discretization methods supporting general meshes in geoscience applications. The need for general polyhedral meshes in this context can arise in several situations, including the modelling of petroleum reservoirs and basins, CO2 and nuclear storage sites, etc. In the above and other situations, classical discretization methods are either not viable or require ad hoc modifications that add to the implementation complexity. Discretization methods able to operate on polyhedral meshes and possibly delivering arbitrary-order approximations constitute in this context a veritable technological jump. The goal of this monograph is to establish a state-of-the-art reference on polyhedral methods for geoscience applications by gathering contributions from top-level research groups working on this topic. This book is addressed to graduate students and researchers wishing to deepen their knowledge ofadvanced numerical methods with a focus on geoscience applications, as well as practitioners of the field.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 18,231円

50th Anniversary of Electron Counting Paradigms for Polyhedral Molecules Historical and Recent Developments【電子書籍】

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<p>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.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 36,464円

Multi-shell Polyhedral Clusters【電子書籍】[ Mircea Vasile Diudea ]

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<p>This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 12,154円

Mind-Blowing Modular Origami The Art of Polyhedral Paper Folding: Use Origami Math to fold Complex, Innovative Geometric Origami Models【電子書籍】[ Byriah Loper ]

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<p><strong>Modular origami is the latest craze in paper folding!</strong></p> <p>These three-dimensional models are created from a number of small pieces of paper that are easily folded and then cleverly fit together to form a spectacular shape. They range from paper polyhedra to bristling buckyballs that are reminiscent of sea urchins--to ornate flower-like spheres.</p> <p>Each piece of paper is held by the tension of the other papers--demonstrating the remarkable hidden properties of paper, which is at the same time flexible but also strong!</p> <p>Author Byriah Loper has been creating modular origami sculptures for just five years, but in that time, he's pushed the upper limits of the art form with some of the largest, most complex geometric paper constructions ever assembled. While many geo-modular origami artists focus on creating dense floral spheres, Byriah has pioneered the open, linear "wire frame" approach, which results in a very complex-looking model that reveals the interior of its form. He exhibits his sculptures annually at the Origami USA convention in New York, and was recently a featured artist at the "Surface to Structure" exhibition at the Cooper Union gallery in the East Village.</p> <p>A great way to learn origami, the easy-to-follow diagrams and step-by-step instructions in this book show you how to fold the paper components and then assemble them to create 22 incredible models. Each model is a new challenge, and the paper sculptures you create look fantastic on your desk or shelf!</p>画面が切り替わりますので、しばらくお待ち下さい。 ※ご購入は、楽天kobo商品ページからお願いします。※切り替わらない場合は、こちら をクリックして下さい。 ※このページからは注文できません。 1,811円