The rapid increase in urban population, land prices and land preservation, urban regeneration, as well as globalization and climate change have been forcing cities to build upward. High-rises can be part of a more sustainable solution if the construction and engineering challenges are addressed before construction starts. Smart technologies are being integrated in the digital environment to allow for better energy efficiency, safety and security, and to maximize the health and well-being of the occupants. Delivered by a team of world leading experts, this comprehensive edited book covers the state-of-the-art of advanced research, innovations, and future perspectives towards sustainable high-rise buildings. The book is structured in three parts from architecture to engineering and city planning including sustainable environmental systems, skybridges, curtain walling resiliency, tall timber buildings, sustainable structural engineering, core design and space efficiency. It also includes seismic design, mass-damping-based approaches, innovative bio-polymeric agro-based materials, high-rises versus sprawl, transit-oriented development, mobility and urban space networks, resilience thinking, and interdependence of tall buildings and the city. Architects, engineers, researchers, energy and facility managers, urban designers, project planners and developers, and smart building solutions experts as well as faculty members, postdocs, advanced students who are working in the fields of the built environment, building construction, system design, civil engineering, architecture, urban planning, smart cities, sustainability and resiliency and environmental engineering, and who are exploring sustainable building practices, will find this new advanced reference most useful and inspiring.

Quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. They form an interesting algebra where each object contains 4 scalar variables, instead of Euler angles, which is useful to overcome the gimbal lock phenomenon when treating the rotation of objects. This book is about the mathematical basics and applications of quaternions. The first four chapters mainly concerns the mathematical theories, while the latter three chapters are related with three application aspects. It is expected to provide useful clues for researchers and engineers in the related area. In detail, this book is organized as follows: In Chapter 1, mathematical basics including the quaternion algebra and operations with quaternions, as well as the relationships of quaternions with other mathematical parameters and representations are demonstrated. In Chapter 2, how quaternions are formulated in Clifford Algebra, how it is used in explaining rotation group in symplectic vector space and parallel transformation in holonomic dynamics are presented. In Chapter 3, the wave equation for a spin 3/2 particle, described by 16-component vector-bispinor, is investigated in spherical coordinates. In Chapter 4, hyperbolic Lobachevsky and spherical Riemann models, parameterized coordinates with spherical and cylindric symmetry are studied. In Chapter 5, ship hydrodynamics with allowance of trim and sinkage is investigated and validated with experiments. In Chapter 6, the ballast flying phenomenon based on Discrete Discontinuous Analysis is presented. In Chapter 7, a numerical study is proposed to analyze the effect of the caisson sliding subjected to a hydrodynamic loading in the stability of the rear side of the rubble mound breakwater.