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Reshaping Convex Polyhedra - Joseph O'rourke - Bog - Springer International Publishing AG - Plusbog.dk

Reshaping Convex Polyhedra - Joseph O'rourke - Bog - Springer International Publishing AG - Plusbog.dk

^ 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="" vîlcu="" brings="" together="" two="" important="" strands="" subject="" —="" 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="" aThe focus of this monograph is converting—reshaping—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. 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 Dürer 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. 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. ^

DKK 986.00
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Functional Analysis - Joseph Muscat - Bog - Springer International Publishing AG - Plusbog.dk

Functional Analysis - Joseph Muscat - Bog - Springer International Publishing AG - Plusbog.dk

The Robot Factory - Joseph Ganem - Bog - Springer International Publishing AG - Plusbog.dk

The Robot Factory - Joseph Ganem - Bog - Springer International Publishing AG - Plusbog.dk

This book exposes a disturbing misuse of the scientific method to advance policies and agendas that are in fact detrimental to both science and education. The author, a physics professor, examines two related trends in education - the practice of "data-driven" reform and the disparaging of the traditional liberal arts in favor of programs with a heavy emphasis on science and technology. Many of the reforms being foisted on educators have more in common with pseudo-science than real science. The reduction of education to a commodity, and the shilling of science as a means to enhance corporate profits, lead to an impoverished and stunted understanding of science in particular, and of education in general. How is it possible for: • schools with all students learning at grade-level to be rated as failing? • teachers to be rated as ineffective after all their students meet their learning outcomes? • rising grade-school math standards to result in more college students needing remedial math? • politicians to disparage scientists and their results but argue that more students should study science? These bizarre outcomes have happened and are the result of an education system that misuses and misrepresents math and science in the classroom and in crafting education policies. This book exposes the flawed and fallacious thinking that is damaging education at all levels throughout the United States, and makes a compelling case for rethinking the standardized, optimized, and quantified approaches in vogue in education today to accommodate the different needs of individual teachers and students.

DKK 107.00
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Globalisation and Inclusive Schooling - Joseph Zajda - Bog - Springer International Publishing AG - Plusbog.dk

AI Assisted Business Analytics - Joseph Boffa - Bog - Springer International Publishing AG - Plusbog.dk

Population Levels, Trends, and Differentials - Joseph Chamie - Bog - Springer International Publishing AG - Plusbog.dk

A Clinician’s Guide to ADHD - Joseph Sadek - Bog - Springer International Publishing AG - Plusbog.dk

Nonimaging Optics in Solar Energy - Joseph O'gallagher - Bog - Springer International Publishing AG - Plusbog.dk

Nonimaging Optics in Solar Energy - Joseph O'gallagher - Bog - Springer International Publishing AG - Plusbog.dk

Nonimaging optics is a subdiscipline of optics whose development over the last 35–40 years was led by scientists from the University of Chicago and other cooperating individuals and institutions. The approach provides a formalism that allows the design of optical devices that approach the maximum physically attainable geometric concentration for a given set of optical tolerances. This means that it has the potential to revolutionize the design of solar concentrators. In this monograph, the basic practical applications of the techniques of nonimaging optics to solar energy collection and concentration are developed and explained. The formalism for designing a wide variety of concentrator types, such as the compound parabolic concentrator and its many embodiments and variations, is presented. Both advantages and limitations of the approach are reviewed. Practical and economic aspects of concentrator design for both thermal and photovoltaic applications are discussed as well. The whole range of concentrator applications from simple low-concentration nontracking designs to ultrahigh-concentration multistage configurations is covered. Table of Contents: Introduction / CPCs / Practical Design of CPC Thermal Collectors / Practical Design of CPC PV Concentrators / Two-Stage Nonimaging Concentrators for Solar Thermal Applications / Two-Stage Nonimaging Concentrators for Solar PV Applications / Selected Demonstrations of Nonimaging Concentrator Performance / The Importance of Economic Factors in Effective Solar Concentrator Design / Ultrahigh Concentration / Bibliography

DKK 285.00
1

Ethical and Secure Computing - Joseph Migga Kizza - Bog - Springer International Publishing AG - Plusbog.dk

Ethical and Secure Computing - Joseph Migga Kizza - Bog - Springer International Publishing AG - Plusbog.dk

This textbook highlights the essential need for a strong ethical framework in our approach to teaching of and working in computer, information and engineering sciences. Through thought-provoking questions and case studies, the reader is challenged to consider the deeper implications arising from the use of today''s rapidly evolving computing technologies and ever-changing communication ecosystems. This thoroughly revised and updated third edition features revised chapters with new and updated content and hardened the ethical framework. To cope with the rapidly changing computing and telecommunication ecosystem, a new chapter, Ethics and Social Responsibility in the Metaverse , has been added. The interface between our current universe and the evolving metaverse presents a security quagmire . The discussion throughout the book is candid and intended to ignite students'' and professionals'' interest and active participation in discussions of the issues we are facing now and those likely to emerge in the near future. Topics and features-including fully updated content : - Introduces a philosophical framework and tools for understanding and analyzing computer ethics in personal, public, and professional spheres - Describes the impact of computer technology on issues of security, privacy, anonymity, and civil liberties - Discusses the security and ethical quagmire in the platforms of the developing metaverse (NEW chapter) - Examines intellectual property rights in the context of computing, including the risks and liabilities associated with software - Discusses such key social issues in computing as the digital divide, employee monitoring in the workplace, and risks to physical and mental health - Reviews the history of computer crime, and the threat of digitally facilitated bullying, harassment, and discrimination - Considers the ethical challenges arising from online social networks, mobile telecommunication technologies, virtual reality, the Internet of Things and 5G technologies - Includes learning objectives, discussion questions and exercises throughout This concise and accessible work addresses the critical ethical and moral issues important to all designers and users of computer technologies. The text incorporates the latest curricula requirements for undergraduate courses in computer science, as well as offers invaluable insights into the social impact and legal challenges posed by the latest generation of computing devices and networks.

DKK 439.00
1

Project Management for Engineering Design - Joseph Lessard - Bog - Springer International Publishing AG - Plusbog.dk

Clinician’s Guide to Adult ADHD Comorbidities - Joseph Sadek - Bog - Springer International Publishing AG - Plusbog.dk

Affordance Theory in Game Design - Joseph Alexander Brown - Bog - Springer International Publishing AG - Plusbog.dk

Affordance Theory in Game Design - Joseph Alexander Brown - Bog - Springer International Publishing AG - Plusbog.dk

Games, whether educational or recreational, are meant to be fun. How do we ensure that the game delivers its intent? The answer to this question is playtesting. However, a haphazard playtest process cannot discover play experience from various dimensions. Players'' perceptions, affordances, age, gender, culture, and many more human factors influence play experience. A playtest requires an intensive experimental process and scientific protocols to ensure that the outcomes seen are reliable for the designer. Playtesting and players'' affordances are the focus of this book. This book is not just about the playtest procedures but also demonstrates how they lead to the conclusions obtained when considering data sets. The playtest process or playtest stories differ according to the hypothesis under investigation. We cover examples of playtesting to identify the impact of human factors, such as age and gender, to examine a player''s preferences for game objects'' design and colors. The book details topics to reflect on possible emotional outcomes of the player at the early stages of game design as well as the methodology for presenting questions to players in such a way as to elicit authentic feedback. This book is intended mainly for game designers, researchers, and developers. However, it provides a general understanding of affordances and human factors that can be informative for readers working in any domain.

DKK 290.00
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Rational Points on Elliptic Curves - Joseph H. Silverman - Bog - Springer International Publishing AG - Plusbog.dk

Rational Points on Elliptic Curves - Joseph H. Silverman - Bog - Springer International Publishing AG - Plusbog.dk

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make Rational Points on Elliptic Curves an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry. Most concretely, an elliptic curve is the set of zeroes of a cubic polynomial in two variables. If the polynomial has rational coefficients, then one can ask for a description of those zeroes whose coordinates are either integers or rational numbers. It is this number theoretic question that is the main subject of Rational Points on Elliptic Curves . Topics covered include the geometry and group structure of elliptic curves, the Nagell–Lutz theorem describing points of finite order, the Mordell–Weil theorem on the finite generation of the group of rational points, the Thue–Siegel theorem on the finiteness of the set of integer points, theorems on counting points with coordinates in finite fields, Lenstra''s elliptic curve factorization algorithm, and a discussion of complex multiplication and the Galois representations associated to torsion points. Additional topics new to the second edition include an introduction to elliptic curve cryptography and a brief discussion of the stunning proof of Fermat''s Last Theorem by Wiles et al. via the use of elliptic curves.

DKK 406.00
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