Lectures on Symmetry-Assisted Computation

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【簡介】 Scientific problems have an internal "beauty", called, referred to, precisely speaking, as their "symmetry". The symmetry arises, often, from the fact that the scientific problem refers to an object (a molecule, a crystal) and the object itself has some "symmetry" elements, but in more abstract situations, such as those arising in particle physics and quantum technologies, symmetry is often the only known (and relevant!) fact about the problem. The scope of these Lecture Notes is to educate how to recognize the symmetry of a scientific problem and how to use symmetry to understand, manipulate and, finally, solve it. The principle guiding these Lecture Notes is that "learning by doing" is the only way that young students can later become productive in science, business and industry. The lecture Notes have, essentially, two components. The first one reports the content of a set of lectures, held at ETH Zurich at the master and PhD level, frequented mainly by students from the department of Physics, Chemistry and Material Science. The lectures were accompanied by a set of student projects on various scientific subjects related to symmetry. These projects ended with a manuscript, worked out by the students themselves and edited into the second component of these Lecture Notes. 【目錄】 Lectures: Geometrical, Algebraic, and Analytic Aspects of Symmetry Representation Theory of Groups with Average SO3 and the General Method of Infinitesimal Transformations The Symmetry Group of the Operator and Some Practical Applications Point Groups and Space Groups of Crystallography Applications to Solid-State Physics The Relativistic Electronic Structure of Atoms and Solids Young Diagrams and Particle Physics The Permutation Group and Its Applications to Many-Body Problems Group Theory and Phase Transitions Exercises: Exercises to Lecture 1 Exercises to Lecture 2 Exercises to Lecture 3 Exercises to Lecture 4 Exercises to Lecture 5 Projects: Project for Lecture 2: Functional Analytic and Numerical Aspects of Eigenvalue Problems Project for Lecture 4: Symmetry Arguments in Classical Mechanics Project for Lecture 4: Crystal Field Splitting and the Jahn–Teller Effect Project for Lecture 4: Vibrational Modes of the NH3 Molecule Project for Lecture 5: Frieze Patterns Project for Lecture 5: An Algebraic Proof of the Hessel Theorem Project for Lecture 6: Empty-Lattice Band Structure Project for Lecture 6: Symmetry Analysis of Graphene Band Structure and Dirac Cones Project for Lecture 6: Topological Protection by Non-symmorphic Degeneracy Project for Lecture 7: Topological Aspects of Continuous Groups and the Universal Covering Groups Project for Lecture 7: Optical Spin Orientation in Atoms and Solids Project for Lecture 9: Quantum Chemistry

Wind Effects On Structures - Modern Structural Design For Wind, 4E (4版)

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【簡介】 Provides structural engineers with the knowledge and practical tools needed to perform structural designs for wind that incorporate major technological, conceptual, analytical and computational advances achieved in the last two decades.With clear explanations and documentation of the concepts, methods, algorithms, and software available for accounting for wind loads in structural design, it also describes the wind engineer's contributions in sufficient detail that they can be effectively scrutinized by the structural engineer in charge of the design.Wind Effects on Structures: Modern Structural Design for Wind, 4th Edition is organized in four sections. The first covers atmospheric flows, extreme wind speeds, and bluff body aerodynamics. The second examines the design of buildings, and includes chapters on aerodynamic loads; dynamic and effective wind-induced loads; wind effects with specified MRIs; low-rise buildings; tall buildings; and more. The third part is devoted to aeroelastic effects, and covers both fundamentals and applications. The last part considers other structures and special topics such as trussed frameworks; offshore structures; and tornado effects.Offering readers the knowledge and practical tools needed to develop structural designs for wind loadings, this book: Points out significant limitations in the design of buildings based on such techniques as the high-frequency force balanceDiscusses powerful algorithms, tools, and software needed for the effective design for wind, and provides numerous examples of application Discusses techniques applicable to structures other than buildings, including stacks and suspended-span bridges Features several appendices on Elements of Probability and Statistics; Peaks-over-Threshold Poisson-Process Procedure for Estimating Peaks; estimates of the WTC Towers' Response to Wind and their shortcomings; and moreWind Effects on Structures: Modern Structural Design for Wind, 4th Edition is an excellent text for structural engineers, wind engineers, and structural engineering students and faculty.